Gina left home, riding her bicycle at a rate of 25 miles per hour. Sean left 1 hour later, riding at a rate of 30 miles per hour. How long will it take Sean to catch up to Gina?

Answers

Answer 1

As per the distance formula, it take 1 hour of time for Sean to catch up to Gina.

Distance formula:

The equation that relates the distance, rate, and time is

d  =  rt

Where d represents the distance traveled, r represents the rate, and t represents the time.

Given,

Gina left home, riding her bicycle at a rate of 25 miles per hour. Sean left 1 hour later, riding at a rate of 30 miles per hour.

Here we need to find the time take by Sean to catch up Gina.

Let us consider x be the time when Gina left the home.

Then, Sean left 1 hour later from her time.

So, it can be written as,

=> x + 1

As the Distance traveled is the same, the ratio of Speed in case 1 to the Speed in case 2 will be the inverse of the Time taken in both cases.

Therefore, the ratio of Speed in both cases

=> 25 : 30

=> 25/30

=> 5/6

Therefore, it can be written as,

x/x+1 = 5/6

When we cross multiply them, then we get,

5x + 5 = 6x

x = 5.

If Gina left at the time of 5, then Sean left at the time of 6.

So, it take 1 hour for Sean to catch up to Gina.

To know more about Distance Here.

https://brainly.com/question/28956738

#SPJ1


Related Questions

1. Tyra bought a lolli-pop with a diameter of 2 inches. What is the circumference of the lolli-pop to the nearest tenth of an inch? A. 3.9 inches B. 15.7 inches C. 6.3 inches D. 7.9 inches

Answers

A lollypop have a circular shape

Diameter D is the line in a circumference that divides it in half

then calculate directly π• D

to the nearest tenth

π•D = 3.14 x 2 = 6.28

then nearest number is 6.3 , or 6.30. Option C)

Can someone please help me with this drag and drop? I would appreciate It a lot! Please explain :) I’ll give brainliest

Answers

Answer:

move B to true then everything is right ✅

If you are given odds of 5 to 6 in favor of winning a bet, what is the probability of winning the bet?

Answers

5 to 6 odds means that, out of 11 possible outcomes, odds are that there will be 5 of one kind of outcome and 6 of another kind of outcome.

In this case, you are given 5 to 6 odds, which means that out of 11 possible outcomes you will win a bet 5 times, and lose it 6.

In fraction, it will look like this:

[tex]\frac{11}{11}\text{ \lparen these are all the possible outcomes, which equals 1\rparen = }\frac{5}{11}(the\text{ outcomes in which you win, which equals .4545, so 45.45\%\rparen + }\frac{6}{11}\text{ \lparen the outcomes in which you lose, which equals 0.5454, so 54.54\% \rparen}[/tex]

Because of that, the probability of winning the bet is 45.45%, and in a fraction, it is 5/11, which means you will win in 5 out of 11 scenarios.

The probability of a certain brand of battery going dead within 15 hours is 1/3. Noah has a toy that requires 4 of these batteries. He wants to simulate the situation to estimate the probability that at least one battery will die before 15 hours are up. 1. Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will represent the outcome of one of the batteries in the toy after 15 hours. Red marbles represent a battery that dies before 15 hours are up, and green marbles represent a battery that lasts longer. How many marbles of each color should he put in the bag? Explain your reasoning. *

Answers

a.

Noah put marbles on a bag, each color marble represents that the battery of the toy died before 15 hours (red marbles) or that the battery lasted after 15 hours (green marbles)

There are 4 batteries on the toy, for each battery there are two possible outcomes, each one represented by a red and green marble.

So, for each battery, he has to put two marbles. There will be 4 red marbles and 4 green marbles in the bag.

b.

To estimate the probability that at least one battery will die within 15 hours, you have to calculate the expected value.

Daniel's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Daniel fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.
Use an equation to find the amount of honey each jar holds.
To write a fraction, use a slash ( / ) to separate the numerator and denominator.

Answers

The fraction for the amount of honey each jar holds is 2/3.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, Daniel fills 24 equal sized jars with honey and he brings a total of 16 cups of honey to sell at the farmers' market.

The amount of honey will be:

= Number of cups / Number of jars

= 16 / 24

= 2/3

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Tye mapping diagram below matches the points on the graph next to it.find the value of X

Answers

Given,

The coordinates of the points shown in the graph is:

[tex](-6,2),\text{ \lparen6,2\rparen, \lparen6,1\rparen and \lparen3,1\rparen}[/tex]

Here, the given mapping is:

[tex](-6,2),\text{ \lparen6,2\rparen, \lparen x,1\rparen and \lparen3,1\rparen}[/tex]

On comparing the coordinates then x = 6.

Hence, the value of x is 6.

Please help me with this question I have a test next week and I really have to study this is 11th grade algebra 2

Answers

ANSWER:

(a)

(b) P(x < 4) = 0.29

(c) P(x= 6) = 0.17

(d) P(x ≥ 5) = 0.34

STEP-BY-STEP EXPLANATION:

The probability in each case would be the specific amount divided by the total amount, therefore, we calculate the total amount and the probability in each case, like this:

[tex]\begin{gathered} 5+10+2+9+33+12+15+3+1\:=\:90 \\ \\ P(0)=\frac{5}{90}=0.06 \\ \\ P(1)=\frac{10}{90}=0.11 \\ \\ P(2)=\frac{2}{90}=0.02 \\ \\ P(3)=\frac{9}{90}=0.1 \\ \\ P(4)=\frac{33}{90}=0.37 \\ \\ P(5)=\frac{12}{90}=0.13 \\ \\ P(6)=\frac{15}{90}=0.17 \\ \\ P(7)=\frac{3}{90}=0.03 \\ \\ P(8)=\frac{1}{90}=0.01 \end{gathered}[/tex]

Therefore, the table would look like this:

With this we calculate the probability in each case:

[tex]\begin{gathered} P\left(x<4\right)=P\left(x=0\right)+P\left(x=1\right)+P\left(x=2\right)+P\left(x=3\right)=0.06+0.11+0.02+0.10=0.29 \\ \\ P(x=6)=0.17 \\ \\ P(x\ge5)=P\left(x=5\right)+P\left(x=6\right)+P\left(x=7\right)+P\left(x=8\right)=0.13+0.17+0.03+0.01=0.34 \end{gathered}[/tex]

ABC with coordinates (1.3), B.4.5), and C15,2), what are the coordinates of ABC after the glide reflection described by t (-1,1) R y-axis?

Answers

Answer:

A'(0,4)

B'(-3,6)

C(-4,3)

Step-by-step explanation:

A glide reflection is the combination of a translation with a rotation.

In this question:

T(-1,1): This means that the translation is given by:

(x,y) -> (x-1,y+1)

Rotation: Around the y-axis. This means that:

(x,y) -> (-x,y)

The triangle has the following coordinates:

A(1,3), B(4,5), C(5,2)

Applying the translation:

(x,y) -> (x-1,y+1)

A(1,3) -> (1-1,3+1) = (0,4)

B(4,5) -> (4-1,5+1) = (3,6)

C(5,2) -> (5-1, 2+1) = (4,3)

Rotation over the y-axis:

(x,y)->(-x,y)

A'(0,4)

B'(-3,6)

C(-4,3)

Which expressions are equivalent to (1/3x−4x−5/3x)−(−1/3x−3) ? Select all correct expressions. Responses −3+5x negaive 3 minus 5 x −2x+3−3x negative 2 x plus 3 minus 3 x −5x+3 negative 5 x plus 3 2x−3+3x 2 x minus 3 plus 3 x

Answers

The equivalent expression for the given expression  (1/3x - 4x - 5/3x) - (- 1/3x - 3) is 3 - 7x / 3

Given,

The expression;

(1/3x - 4x - 5/3x) - (- 1/3x - 3)

We have to solve this and find the equivalent expression;

Here,

(1/3x - 4x - 5/3x) - (- 1/3x - 3)

= 1/3x - 4x - 5/3x + 1/3x + 3

= 3 - 4x - 5/3x

= 3 - (12x - 5x) / 3

= 3 - 7x / 3

That is,

The equivalent expression for the given expression  (1/3x - 4x - 5/3x) - (- 1/3x - 3) is 3 - 7x / 3

Learn more about equivalent expression here;

https://brainly.com/question/27915283

#SPJ1

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 81 m long and 60 m wide. Find the area of the training field. Use the value 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

ANSWER:

EXPLANATION:

Given:

To find:

The area of the training field

We can see that the two semicircles will form a circle with a diameter(d) of 60 m, so the radius(r) of the circle will be;

r = d/2 = 60/2 = 30 m

Given pi as 3.14, we can go ahead and determine the area of the circle as seen below;

[tex]\begin{gathered} Area\text{ of the circle}=\pi r^2 \\ \\ =3.14*30^2 \\ \\ =3.14*900 \\ \\ =2826\text{ m}^2 \end{gathered}[/tex]

Which of the following size measures will form a right triangle

Answers

From the given side lengths, let's find the measures that will form a right triangle.

Apply Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Where:

• a ,and ,b, are lengths of the legs

,

• c is the length of the hypotenuse.

Now, let's start from the first measures in option a.

• 48m, 64m, and 85m

[tex]\begin{gathered} 48^2+64^2=85^2 \\ \\ 2304+4096=7225 \\ \\ 6400\ne7225 \end{gathered}[/tex]

The measures in option a will NOT form a right triangle since the left side of the equation does not equal the right side.

• 27 yd, 36 yd, 45 yd

[tex]\begin{gathered} 27^2+36^2=45^2 \\ \\ 729+1296=2025 \\ \\ 2025=2025 \end{gathered}[/tex]

The measures in option B will form a right triangle because the Equation is true.

ANSWE

Tickets numbered 1 - 10 are drawn at random and placed back in the pile. Find the probability that at least one ticketnumbered with a 6 is drawn if there are 4 drawings that occur. Round your answer to two decimal places.

Answers

The probability of a 6 being drawn in one pick is

[tex]\frac{1}{10}[/tex]

For 4 drawings, the probability would be

[tex]\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}=\frac{4}{10}=\frac{2}{5}=0.40[/tex]

. . Read the problem and write your answer for each part. Make sure to label each part: , , .jasmine is tracking the growth of a specific bacteria bacteria for a science experiment. She assumes that there are bacteria () in a Perti dish at 12:00 midnight. Jamie observes that the number of bacteria increases by 25 every hour . write an equation that describes the relationship between total number of bacteria () and time () in hours, assuming there are () bacteria in the perti dish at = 0. . if Jamie starts with bacteria in the perti dish, how many bacteria will be present after 6 hours? . if Jamie starts with bacteria in the perti dish, draw a graph that displays the total number of bacteria with respect to time from 12:00 midnight ( = ) to 8:00 am. ( = ). Label each axis and label points on your graph at times = , , , .use the coordinate plane below to draw your graph.

Answers

Part A:

Let:

T(h)= Total Number of bacterias as a function of time

h = Number of hours

B = Initial number of bacterias

Since the number of bacteria increases by 25 every hour, we can defined the equation as:

[tex]T(h)=25h+B[/tex]

Part B:

B = 5

h = 6

Evaluate the previous equation for those values:

[tex]\begin{gathered} T(6)=25(6)+5 \\ T(6)=150+5 \\ T(6)=155 \end{gathered}[/tex]

there will be 155 baterias after 6 hours

Part C

Let's graph the equation:

[tex]T(h)=25h+5[/tex]

f(x) = x^3- 9x^2 + 10.c ) list the x values of all the inflection points of F

Answers

To find the inflection points the first step we have to follow is to find the second and third derivatives of the function:

[tex]\begin{gathered} f\mleft(x\mright)=x^3-9x^2+10 \\ f^{\prime}\left(x\right)=3x^2-18x \\ f^{\prime}^{\prime}\left(x\right)=6x-18 \\ f^{\prime}^{\prime}^{\prime}\left(x\right)=6 \end{gathered}[/tex]

Now, find the values of x for which the second derivative is 0:

[tex]\begin{gathered} 0=6x-18 \\ 18=6x \\ x=\frac{18}{6} \\ x=3 \end{gathered}[/tex]

Evaluate the third derivative at this values of x, if the third derivative is different from 0, then that value is an inflection point:

[tex]f^{\prime}^{\prime}^{\prime}\left(3\right)=6[/tex]

It means that there is an inflection point at x=3.

Cecilia is making a punch that uses 3 quarts of fruit juice for every quart of citrus soda. How many quarts of each does she need to make 16 quarts of punch?

Answers

The number of quarts of each constituent she needs to produce 16 quarts of punch is; 12 quarts of fruit juice and 4 quarts of citrus soda.

What quantity of each constituent is needed to produce 16 quarts of punch?

It follows from the task content that the quantity of each constituent that is required to make 16 quarts of punch are to be determined.

Since it follows that 3 quarts of fruit juice are required to mix with every quart of citrus soda, it follows that the amount of punch made in this scenario is; 4 quarts of punch.

Hence, since there are 4 partitions of 4 quarts punch is 16 quarts punch, the amount of.each constituent needed by proportion are as follows;

3 quarts of fruit juice × 4 = 12 quarts of fruit juice.1 quarts of fruit juice × 4 = 4 quarts of citrus soda.

Read more on proportion;

https://brainly.com/question/18437927

#SPJ1

What’s the total of all the present values of the payments? $320,640 $787,116 $878,611 $987,116

Answers

The total of all the present values of the payments is $2,973,483.

What is the present value?

The present value is the future cash flows discounted to the present day's values.

The present value can be determined using an online finance calculator that inputs the future cash flows, the interest rate, and the period.

How is the total present value determined?

The total present value is a function of the summation of the four present values.

Since the present values are given, computing the total involves the mathematical operation of addition.

Present Values:

1st payment    $320,640

2nd payment    $787,116

3rd payment    $878,611

4th payment    $987,116

Total PV      $2,973,483

Learn more about present values at https://brainly.com/question/15904086

#SPJ1

Answer:

The correct answer is $878,611 for plato users

Step-by-step explanation:

You are choosing between two health clubs. Club A offers membership for a fee
of $20 plus a monthly fee of $25. Club B offers membership for a fee of $25
plus a monthly fee of $24. After how many months will the total cost of each
health club be the same? What will be the total cost for each club?

Answers

Let:

x = Number of months

y1 = Total cost for Club A

y2 = Total cost for Club B

a = Fee of Club A per month

b = Fee of Club B per month

c = Initial fee of Club A

d = Initial fee of Club B

so:

[tex]\begin{gathered} y1=ax+c \\ y1=25x+20 \\ -------- \\ y2=bx+d \\ y2=24x+25 \end{gathered}[/tex]

So, the total cost will be the same for:

[tex]\begin{gathered} y1=y2 \\ 25x+20=24x+25 \\ solve_{\text{ }}for_{\text{ }}x\colon \\ 25x-24x=25-20 \\ x=5 \end{gathered}[/tex]

The cost will be the same for the month number 5. And the total cost will be:

[tex]\begin{gathered} y1(5)=25(5)+20=145 \\ y2(5)=24(5)+25=145 \end{gathered}[/tex]

$145

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
Line a passes through (-1, -17) and (3, 11).
Line b passes through (0,4) and (7,-5).
Line c passes through (7, 1) and (0, 2).
Line d passes through (-1,-6) and (1, 8).

Answers

Answers:

Line A is parallel to line D.

Line A is perpendicular to line C.

Line C is perpendicular to line D.

=====================================================

Explanation:

Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)

[tex](x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2) = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\[/tex]

The slope of line A is 7

-------------

Now let's find the slope of line B.

[tex](x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\[/tex]

-------------

Now onto line C.

[tex](x_1,y_1) = (7,1) \text{ and } (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\[/tex]

-------------

Lastly we have line D.

[tex](x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2) = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\[/tex]

------------------------------

Here's a summary of the slopes we found

[tex]\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}[/tex]

Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.

Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.

Lines C and D are perpendicular for the same reasoning as the previous paragraph.

Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.

You can use a graphing tool like Desmos or GeoGebra to verify these answers.

Can someone explain how I would know the difference between a 2:7 ratio and 7:2 ratio when a point partitions the line? Thank you!

Answers

Solution

For this case we can do the following:

We can understand 7/2 as the reciprocal of 2/7 and we can create the following diagram

The diameter of a planet at its equator is 5790 kilometers.Estimate using scientific notation:

Answers

[tex]5.79x10^3\text{ kilometers}[/tex]

Explanation

Step 1

divide the number by 1000

remember:

[tex]1000=10^3[/tex][tex]\frac{5790}{1000}=5.79[/tex]

Step 2

input the value of cubic ten instead of 100

[tex]\begin{gathered} 5790=5.79\cdot1000 \\ 5.79\cdot1000=5.79\cdot10^3 \end{gathered}[/tex]

then, the answer is

[tex]5.79x10^3\text{ kilometers}[/tex]

Graph the line with the given slope m and y-intercept b

Answers

Answer:

draw a line from the top left to the bottom right going through the centre

Step-by-step explanation:

because m=-1 (gradient)

and b=0 (y intercept)

Factor 6z^2 + 31z + 18

Answers

[tex]6z^2+31z+18=(3z+2)(2z+9)[/tex]

can you help me to find midpoint

Answers

First, locate the given points.

Then, draw the line that connects them

Next, add the two x-coordinates of the endpoints and divide by 2. In this case, (1 + 4)/2 = 5/2 = 2.5

Then, draw a line perpendicular to the x-axis that passes through x = 2.5, until it intersects the other line. The intersecting point is the midpoint.

In this case, the coordinates of the midpoint are (2.5, 0.5), as can be seen in the figure

Determine the value of b.

b3 = 343

b = ±114.3
b = ±7
b = 114.3
b = 7

Answers

Answer:

  (d)  b = 7

Step-by-step explanation:

You want the solution to b³ = 343.

Solution

The equation can be written in standard form and factored according to the factoring of the difference of cubes:

  b³ -343 = 0

  (b -7)(b² +7b +49) = 0

The solutions to this are the values of b that make the factors 0.

  b -7 = 0   ⇒   b = 7

  b² +7b +49 = 0   ⇒   b = -3.5 ± i√36.75 . . . . . complex solutions

The one real solution to the equation is b = 7.

__

Additional comment

Every cubic has 3 solutions. Here, two of them are complex. When the only terms in the equation are the cubic term and the constant, there will always be only one real root.

<95141404393>

The equation b^3 = 343 has two valid real solutions: b = 7 and b = -7. Both values satisfy the equation and meet the given condition. Option B.

To determine the value of b, we can solve the equation b^3 = 343.

Taking the cube root of both sides, we get:

b = ∛343

The cube root of 343 is 7, since 7 * 7 * 7 = 343. Therefore, one solution to the equation is b = 7.

However, it's important to note that the cube root function has a real and complex solution. In this case, b = 7 is the real solution, but there are two additional complex solutions.

Using complex numbers, we can express the other two solutions as follows:

b = -∛343

b = -7

So the complete set of solutions for b is b = 7, -7.

In summary, the equation b^3 = 343 has two real solutions: b = 7 and b = -7. These solutions satisfy the equation and fulfill the condition. So Option B is correct.

For more question on solutions visit:

https://brainly.com/question/24644930

#SPJ8

3: A Bunch of SystemsSolve each system of equations without graphing and show your reasoning. Then, check yoursolutions,

Answers

Use the elimination method to solve the given system of equations.

To do so, multiply the first equation by -3 so that the coefficient of x in the first equation becomes the additive inverse of the coefficient of x in the second equation:

[tex]\begin{gathered} -3(2x+3y)=-3(16) \\ \Rightarrow-6x-9y=-48 \end{gathered}[/tex]

Then, the system is equivalent to:

[tex]\begin{gathered} -6x-9y=-48 \\ 6x-5y=20 \end{gathered}[/tex]

Add both equations to eliminate the variable x and to obtain an equation in terms of the variable y only:

[tex]\begin{gathered} (-6x-9y)+(6x-5y)=-48+20 \\ \Rightarrow-6x-9y+6x-5y=-28 \\ \Rightarrow-14y=-28 \\ \Rightarrow y=\frac{-28}{-14} \\ \therefore y=2 \end{gathered}[/tex]

Replace y=2 into the first equation to find the value of x:

[tex]\begin{gathered} 2x+3y=16 \\ \Rightarrow2x+3(2)=16 \\ \Rightarrow2x+6=16 \\ \Rightarrow2x=16-6 \\ \Rightarrow2x=10 \\ \Rightarrow x=\frac{10}{2} \\ \therefore x=5 \end{gathered}[/tex]

Replace y=2 and x=5 into the second equation to confirm the answer:

[tex]\begin{gathered} 6x-5y=20 \\ \Rightarrow6(5)-5(2)=20 \\ \Rightarrow30-10=20 \\ \Rightarrow20=20 \end{gathered}[/tex]

Therefore, the solution to the system of equations is x=5, y=2.

product of the equationa^4•a^6

Answers

Okay, here we have this:

Considering the provided operation, we are going to perform it, so we obtain the following:

Let us remember that when two terms with the same base are multiplied, then the base is preserved and the exponents are added, in this case we have:

[tex]\begin{gathered} a^4\cdot a^6 \\ =a^{(4+6)} \\ =a^{10} \end{gathered}[/tex]

Finally we obtain that the operation is equal to a^10.

Bryan's hockey team is purchasing jerseys. The company charges $250 for a onetime set-up fee and $23 for each printed jersey. Which expression represents the total cost of x number of jerseys for the team?Group of answer choices23x23 + 250x23x+250

Answers

To find the right answer, we have to remember that

[tex]\text{Total cost= Variable cost+ Fixed cost}[/tex]

The variable cost is that which changes, in our case, the variable cost is the price of each jersey. since each cost $23 and it increases as the number of jerseys increases.

Thus, the variable cost will be

[tex]23x[/tex]

The fixed cost is always constant. The fixed cost is the one-time set-up fee of 250.

Thus, we can combine the two costs to get the total cost.

The answer will be:

[tex]\text{Total cost=23x+250}[/tex]

Q.Using triangle congruency theorems, justify why the triangles are similar.

Answers

4a)

Looking at the figure,

AD and BE are parallel lines

AE and BD are transversals

Thus,

angle DAE is congruent to angle BEA because they are alternate angles(They lie in similar positions but on alternate sides of the transversal

Also,

angle ADB is congruent to angle EBD because they are alternate angles(They lie in similar positions but on alternate sides of the transversal.

Angle ACD is congruent to angle BCE

Recall, 2 triangles are similar if at least, 2 of their corresponding angles are congruent. In this case, 3 corresponding triangles are congruent. Thus,

triangle ADC is similar to triangle EBC by AA(angle angle) postulate

4b) If 2 triangles are similar, it means that the ratio of their corresponding sides is equal. Thus,

AD/EB = DC/BC = AC/ CE

From the information given,

AD = 2

AC = 4

EB = 5

Thus,

2/5 = 4/CE

By cross multiplying,

2 * CE = 5 * 4

2CE = 20

CE = 20/2

CE = 10

The answer for the bottom question need a fast quick answer

Answers

Area of a circle is

[tex]A=\pi\cdot r^2[/tex][tex]\begin{gathered} d=2r \\ d=22 \\ r=\frac{22}{2} \\ r=11 \end{gathered}[/tex][tex]\begin{gathered} A=\pi(11)^2 \\ A=380.133ft^2 \end{gathered}[/tex]The area of the garder is 380.13 square foots

If a square foot cost $ 1.25

[tex]\begin{gathered} 1ft^2\to1.25\text{dollars} \\ 380.13ft^2\to x \\ x=\frac{380.13ft^2\cdot(1.25dollar)}{1ft^2} \\ x=475.16\text{dollar} \end{gathered}[/tex]To cover the garden they need to buy $475 in mulch

18. The weights of four puppies are shown in pounds. 9.5 9 9.125 9 Which list shows these weights in order from greatest to least F. 99.5 9 9.125 w 9.5 9 9.125 9.125 9 9.5 9 + J. 9 9 9.5 9.125

Answers

The correct list is

[tex]9\frac{3}{4},\text{ 9.5, 9}\frac{3}{8},9.125[/tex]

This is option F

Other Questions
help pleasesjjsnsbsbbbsbs Find the area of circle b 1.5 yd in terms of pi position for an electron is 4.7i - 4.1j + 5.7k find the magnitude Liz attended class every day since she started school as a kindergarten. She said she has been in school for about 1,000 days.What numbers could be the actual number of school days if Liz rounded to the nearest ten?4 grade student A large bar of solid gold is melted into liquid. the liquid is then poured into molds to make a number of gold coins. was this chemical or physical? explain. The multiplier is 5 and, as a result of a change in expenditure, equilibrium expenditure and real gdp change by $200 billion. What was the initial change in autonomous expenditure?. Please help me it is due today! Classify the triangle formed by the side lengths as right, acute, or obtuse. 11 13 23 What does Jaucourt say about the rights of traders to buy and sell slaves? Determine the sum of the infinite geometric series1/2-1/3+2/9-A. -1/2B. the sum cannot be determinedC. 1/3D. 3/10 What is one harmful result of industrial activities in central Europe and northern eurasia A District Assembly is considering establishing a wood processing plant under the One- District-One-Factory programme. The initial cost estimation for the plant is GH 500,000. The District has secured funds at an annual interest rate of 30%. The expected annual free cash flows from the plant are as follows:1.a) Calculate the payback period for this project.b) What does this figure in (a) mean?c) Explain the term Net Present Valued) What is the NPV of the above project? Interpret your result. if a researcher activates information in participants' minds and the activation helps participants remember new information more efficiently later, we would say that the researcher used , a type of implicit memory, to improve participant performance. multiple choice question. The coexistence of rulers and councils of elders in African states in the period circa 12001450 best demonstrates Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day? * Use the digits 0, 2, and 5 to write all of the three-digit numbers that fit eachdescription. You can repeat digits in a number.multiples of 2 for each triangle identify a base and corresponding height use them to find the are What is neutralization reaction? Use an example to describe the components of neutralization reaction Systems function in cycles and consist of _____ that increase a process or component, and _____ that diminish a process or component. O positive feedbacks, negative feedbacks O open systems, closed systems O throughputs, thresholds O positive feedbacks, open systems O balances, imbalances What is the average rate of change over the interval [1,2]Type the numerical value for your answer as a whole number, decimal, or fractionMake sure answers are completely simplified