Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4
Prove: Line segment A D is parallel to line segment B C

A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4.

A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.



m∠1 = m∠4
m∠2 = m∠3
m∠1 + m∠4 = 180°
m∠2 + m∠3 = 180°

Answers

Answer 1

Answer: m∠1 + m∠4 = 180°

Step-by-step explanation:

If angles 1 and 4 are supplementary, their measures must add to 180 degrees.


Related Questions

I’m very stuck and someone give the answer

Answers

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Please help and explain WILL MARK BRAINLIEST!!!!

Answers

Answer:

x is 19.5 degress

Step-by-step explanation:

hmmm so here oh i see now okay:

since a line is 180 degress lets write

2x + 82.5 + 3x = 180

now we umm add the ones with the same variable and power

5x + 82.5 = 180

5x = 180 - 82.5

5x = 97.5

x = 19.5

This is an angle on a straight line and It is equal to 180°

2x° + 3x° + 82.5° = 180°

5x° = 180° - 82.5°

5x = 97.5°

x = 19.5°

To indicate the angle

2x => 2(19.5°) => 39°

3x => 3(19.5°) => 58.5°

The angle are (39°, 82.5°, 58.5°

a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the height of the building in the picture is 2.5 inches what is the height of the real building the proportion i would use to solve this is ____ the height of the real building should be ______ feet. To explain to the construction workers how they would calculate the height of the final building. i would tell them ____

Answers

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.

The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Answers

Answer:

f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Explanation:

f(x) has a function of x³

g(x) has a function of [tex]\sf 3^X[/tex]

False statements:

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.

Answer:

By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex].  Therefore,  [tex]f(x)=x^3[/tex]

By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]

From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).

As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.

So the following statements are true:

f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.

Please refer to the attached graph of both functions with plotted ordered pairs.

a*b=a+2b find 2*3

please help me​

Answers

Answer:

7

Step-by-step explanation:

solna*b=a+2b2*3=a+2b a=3 b=2 =3+2×2 =3+4 =7answer

x - 3y = 4
2x - 5y = 8
solve by substitution

Answers

Answer:

y = 0

x = 4

Explanation:

x - 3y = 42x - 5y = 8

make x the subject,

x - 3y = 4

x = 4 + 3y __ equation 1

2x - 5y = 8

x = (8+5y)/2 __ equation 2

using substitution method:

(8+5y)/2 = 4 + 3y

8 + 5y = 8 + 6y

6y - 5y = 8 - 8

y = 0

Find x,

x = 4 + 3y

x = 4 + 3(0)

x = 4

Answer:

x = 4

y = 0

Step-by-step explanation:

Step 1. Pick one equation and rewrite in the form of x= OR y=

x - 3y = 4      (original)

x = 4 + 3y     (rewritten)

Step 2. Substitute for x in the other equation

2x -5y = 8                 (second equation)

2(4 + 3y) - 5y = 8      (substitute 4 + 3y for x)

Step 3. Solve for the unknown variable, y

2(4 + 3y) - 5y = 8        (distribute)

8 + 6y - 5y = 8            (combine like terms)

y = 0                           (first variable)

Step 4. Find x by plugging y into an equation

x - 3y = 4            (original)

x - 3(0) = 4          (substitute 0 for y)

x = 4                  (second variable)

FINAL SOLUTION: x = 4, y = 0

You can double check this by plugging these numbers back into each equation; x = 4 and y = 0 is true for both.

I hope this helps!

A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.

Answers

Answer:

[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]

Step-by-step explanation:

Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].

Answer:

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Step-by-step explanation:

Pet peeve of mine: let's call it [tex]p_r[/tex]  (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].

Old man yelling at clouds moment gone, we know that the number of people gets halved every time so

At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]

At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]

At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]

At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]

...

At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]

...

At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.

That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

find the value of x in the triangle shown below.
x=[]

Answers

Answer:

x=[80]

Step-by-step explanation:

angle 1+angle 2+angle x=180

50 +50+x=180

100+x=180

100-100+x=180-100

x=80

Answer:

80

Step-by-step explanation:

The triangle on the image is an isosceles triangle so both of the bottom angles' measure = 50

The sum of interior angles in a triangle is equal to 180

if two angles has 50 degrees then x:

50 + 50 + x = 180

100 + x = 180 subtract 100 from both sides

x = 80

Please help me
What is the difference between 14n +7 and 8n + 3/4

Answers

(14n + 7)-(8n + 3/4)
= 14n - 8n + 7 - 3/4?
= 6n + 25/4

solve pls brainliest

Answers

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200

Simon does some shopping on the internet. He buys 4 CDs at $8.63 each. How much do the CDs cost altogether?

Answers

Answer:

34.52

Step-by-step explanation:

Multiplication plus may i have branlies t

Answer:

the total would be 34.52

Step-by-step explanation:

If we have 4 Cd's that cost 8.63 a piece, all we would need to do is multiply 8.63 by 4, or just add 8.63 4 times.

hope this helps, please rate and mark as brainlest.

Which expression is equivalent to the expression -3(4x - 2) - 2x

A) -8x
B) -16x
C) -14x - 2
D) -14x + 6

Answers

Answer:

-14x + 6 (option D)

Step-by-step explanation:

To solve the given equation, you first need to distribute the negative 3.

So, you need to multiply

(4x)(-3)  ;  (-2)(-3)

(4x)(-3)= -12x

(-2)(-3)= 6

So, your new, distributed, equation would be:

-12x + 6 - 2x

If we combine like terms (-12x - 2x), our new equation will be:

-14x + 6

A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find sin M, tan M, and cos M.

Answers

Answer:

sin M = [tex]\frac{12}{13}[/tex], tan M = [tex]\frac{12}{5}[/tex], cos M = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

The sine of an angle is equal to [tex]\frac{opposite}{hypotenuse}[/tex].  The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.

The tangent of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex].  The opposite side is 12 and the adjacent (next to the angle) side is 5.

The cosine of an angle is equal to [tex]\frac{adjacent}{hypotenuse}[/tex].  The adjacent (next to the angle) side is 5 and the hypotenuse is 13.

solve pls brainliest

Answers

Answer: The answer is -15/7

Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.

HOPE THIS HELPED!

Answer:

-1 1/7 :)

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] x 3

[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]

[tex]-\frac{15}{7}[/tex]

Now lest simplify it!!

-1 [tex]\frac{1}{7}[/tex]

Hope this helps!!

Have a great day!!

Please rate and mark brainliest!!

At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. Which explains how to find the better buy? Divide 4. 50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Divide 0. 80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Multiply 4. 50 by 5 to find the cost for 5 pounds, and compare to $4. 50 per bag. Multiply 4. 50 by 0. 80 to find the cost for 5 pounds, and compare to $4. 50 per bag.

Answers

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

What is cost price per pound?

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

[tex]C=\dfrac{4.50}{5}\\C=0.5625[/tex]

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

https://brainly.com/question/20333618

A triangular garden has an area of 144 ft² If the base is 8 ft long, what is the height? 9 ft 18 ft 36 ft 48 ft.

Answers

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

144 = 0.5(8) * h144 = 4 * h144 = 4h36 = h

The height is 36, but since the units are feet, it is 36 feet.

Explaination :

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

[tex]\boxed{\sf{Area \: of \: triangle \: = \: \dfrac{1}{2} \times l \times b }} \: \red\bigstar[/tex]

Here,

l is length b is breadth

To calculate :

Height of the triangle? (i.e. length)

We have :

length (l) = 8ft Area (A) = 144 ft²

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,

Height is of 36 ft.

A study was conducted of 351 species of mammals worldwide. The
scientists conducting the study found that 140 species could be
found in Asia and 94 species could be found in Africa, and of those,
22 could be found in both continents.
What is the probability of randomly selecting a species of mammal
that is neither found in Asia nor Africa? Write your answer as a
fraction.

Answers

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

Please a quick question

Enter an expression equivalent to a^5 in the form of a^x/a^y.

Answers

Answer:

a^7/a^2

Step-by-step explanation:

The exponents subtract. really easy 7-2=5

There are infinite possiblities to this.

SonicIsCoool, im at your service if you need more help :)

Thank you.

Answer:

[tex]\frac{a^{8} }{a^{3} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]

Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)

Answers

X = 18
Solve for x by simplifying both sides of the equation, then isolating the variable.

x - 3y - 3 = 0

3x - 9y - 2 = 0

Answers

Answer: no solution

             

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

no solution

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

i need help with this problem

Answers

Answer:

the pizza one is 4/8

Step-by-step explanation:

skating one 6.75 miles

100 points!!! please help me with this math.

Answers

f=72°

d=153°

b=27°

a=64°

be careful i started with f

Answer:

a=64

b=27

d=153

f=72

Step-by-step explanation:

a+72+134+90=360(sum of the angles around a point is 360)

a+296=360

a=360-296

a=64

b=27(vertically opposite angles are equal in magnitude)

27+b+d+e=360(sum of the angles around a point is 360)

d=e (vertically opposite angles are equal in magnitude)

Therefore,

27+27+2d=360

54+2d=360

2d=360-54

2d= 306

d= 306÷2

d= 153

108+f=180(sum of the adjacent angles on a straight line is 180)

f=180-108

f=72

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. what is the difference in price per passenger for a group of 16 versus a group of 10? $46.25 $36.25 $56.25 $26.25

Answers

The difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25

What does a graph of a function represents?

A graph contains data of which input maps to which output.

For Cartesian plane, this includes inputs x-axis, and corresponding output on y axis and the highlighted point (x,y) shows that the x value is related to the specific y value.

For the considered case, the missing image is attached below.

From the image, we see that corresponding to the value of number of people 10, the corresponding point on the graph is connected with vertical axis at $1300

For number of people 16, it is $2500

The price per passenger for 10 people is: 1300/10 = $130 The price per passenger for 16 people is: 2500/16 = $156.25

The difference in these prices is 156.25 - 130 = 26.25 (in dollars)

Thus, the difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25

Learn more about graphing functions here:

https://brainly.com/question/10166124

Answer:

D. $26.25

Step-by-step explanation:

edg

What’s the answer to the blank

Answers

Answer:

13.93

Step-by-step explanation:

find the mean
11.60 + 16.25 ÷ 2 = 13.93

The volume of this right prism is 266.5 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

x =
ft

Answers

Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

Answer:

The answer is 8.2, I took the test.

A square rug has an area of 256 square feet. What is the perimeter of the rug?

Answers

Answer:

64

Step-by-step explanation:

[tex]\sqrt{256}[/tex] = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

A figure is made up of two triangles and a square. The triangles and the square have the same base length of 5 feet. The triangles have a height of 4 feet. What is the total area of the figure?

Answers

Answer:

45 ft^2.

Step-by-step explanation:

Area = area of the square + 2 * area of one triangle

= 5^2 + 2 * 1/2 * 5 * 4

= 25 + 20

= 45 fT^2.

solve quadratic function
3(x-5)^2-17=-5

Answers

Answer:

x = 3 , x = 7

Step-by-step explanation:

3(x - 5)² - 17 = - 5 ( add 17 to both sides )

3(x - 5)² = 12 ( divide both sides by 3 )

(x - 5)² = 4 ( take square root of both sides )

x - 5 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 5 to both sides )

x = 5 ± 2

then

x = 5 - 2 = 3

x = 5 + 2 = 7

help help help help HELP

Answers

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

HELP!!
Find the mistake: Use the picture to find the diagonal of
the television. Look at the student’s work and solution.
Identify the error, solve the problem. Then share a
strategy this student could use to prevent this error again.

Answers

Answer:

It is actually very simple:

Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:

[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c

I believe this is the answer. I hope I had helped :)

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If a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money. when occurring in the atlantic ocean they are known as hurricanes. what are they known as when occurring in the western pacific? the ratio of the length of shantels pool to the length of juan's pool is 3 to 5 shantels pool is 30 meters how long is Juans pool Please help like right now Compared to the Pacific ocean a cup of hot chocolate has a.more thermal energy and a higher temperature)b.less thermal energy and a higher temperature)c.more thermal energy and a lower temperature)d. less thermal energy and lower temperature (i'll try to give brainliest) How might political , military, and economic interests combine or conflict to affect U.S. diplomatic relationships? How did calders work and moores work , two very different styles of modern sculpture,connectHelp me Giovanni drops a rock from the Leaning Tower of Pisa in Italy. The height in feet (h) of the falling rock above the ground isgiven by the following equation, where t represents the time, in seconds.h = -16t2 + 186Approximately how long will it take the rock to reach the ground? Find the volume of the sphere. Round your answer to the nearest tenth.Use 3.14 for it.A sphere has a diameter of 3.8 centimeters.The volume of the sphere is aboutcm3HELP ME PLSS I WILL MARK BRAINLIEST Write y 3 = (x 6) in standard form. Two objects of the same mass travel in the same direction along a horizontal surface. Object X has a speed of 5 ms and object Y has a speed of 2 ms, as shown in the figure. After a period of time, object X collides with object Y.Consider the situation in which the objects collide but do not stick together. Which of the following predictions is true about the center of mass of the two-object system immediately after the collision? 1. Describe how you identified an area of need in your community. Explain what you learned from your local health departments website. Explain what you learned from any other government agencies or nonprofit organizations websites. If you made phone calls or emails, describe what you learned from them. Refer to the notes you took for lesson 8.02. Make sure to explain how you used the information to reach a conclusion about an area of need. (please include the website links in your answer) Answer (5 sentence minimum): (Score for Question 2: 10 points) 2. Describe the data you found. Explain what you learned from your communitys or a nearby communitys Community Health Improvement Plan. Explain what you learned from the data you found on the state department of healths webpage for health behaviors. Describe general trends and also give specific information and numbers. Refer to the notes you took for lesson 8.03. Answer (3 sentence minimum): (Score for Question 3: 10 points) 3. Describe the plan you created to address a community environmental health or safety issue. Make sure to explain why you chose to address that issue, who is going to help you, what you are going to do, when you are going to do it, and where your plan will be put into place. Answer (3 sentence minimum): (Score for Question 4: 10 points) 4. Describe how you plan to monitor and measure progress. Make sure to explain how you set up smaller tasks to accomplish, schedules, and deadlines. Also explain your plan to check on your goals at regular intervals. Answer (3 sentence minimum): A person injures an elbow playing tennis. What kind of rehabilitative care would this person most likely need?A. physical therapyB. occupational therapyC. cardiac rehabilitationD. speech therapy