In which graph does the height difference between Winter Hill and Frozen Field equal the height of BlizzardRun?Choose 1 answer:605040Height (in meters)30.©20100Blizzard RunSnow SlopeWinter HillFrozen FieldSledding hill

We have two triangles, XYZ and WVZ.

They shared the vertex Z, formed by the intersection of two lines, XW and VY.

Also, XY and VW are parallel.

Then, we have a pair of congruent angles at vertex Z, as they are vertical angles.

We also have another pair of congruent angles: V and Y, because they are alternate interior angles between parallel lines.

Then, as we have two pair of congruent angles, the third pair of angles have to be congruent too, as the measures of the interior angles of a triangle always add 180°.

Then, if we have 3 pair of congruent angles, we have similar triangles.

We can not say anything about congruent sides because we don't know any relation or proportion between them, so the other postulates, SAS or SSS, can not be used.

Answer: XYZ ~ WVZ by AA similarity (Option A)

The per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

In the question ,

it is given that a grocery store sells bags of oranges in two different sizes .

in first bag where 3 pound bags of oranges cost $4 .

So, 1 pound bag of orange will cost = 4/3 = $1.333   .

in the second bag where 8 pounds bags of oranges cost $9 .

So, 1 pound bag of orange will cost 9/8 = $1.125   .

we can see that $1.125 < $1.333 .

hence , the second bag of oranges costs less .

Therefore , the per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

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By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:

x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2)                                   Given

x = - 1 / 6 - 1 / 4                                                                 Multiplication of rational numbers

x = - 4 / 24 - 6 / 24                                                           Modulative, commutative and associative properties / Existence of multiplicative inverse

x = - 10 / 24                                                                       Addition of fraction with same denominator

x = - 5 / 12                                                                         Simplification / Result

The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

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Let's take them one after the other

To calculate the mean:

Mean = 4 +20+ 5 +10+ 21+ 18 +10+ 11+ 16 / 9

Mean= 115/9= 12.7

To calculate the median;

Median: position (n+1)/2=(9+1)/2=5

This implies it is the fiifth value after ordering them from least to gratest

4, 5, 10, 10, 11, 16, 18, 20, 21

The fifth observation is 11, that's the median

Calculate the range;

Range = highest - lowest = 21 - 4 = 17

Mode = bi modal = 10

The answer is the Mode which is 10

The correct option is the last option : Mode

The equation that represents the total tennis balls is t = 13 + 42 and the value is 55

From the question, the given parameters are

The total number of tennis ball is the sum of the number of tennis ball thrown away and the number of tennis ball returned

Mathematically, this is represented as

Total number of tennis ball = Number of tennis ball thrown away + Number of tennis ball returned

Substitute the known values in the above equation

So, we have the following equation

t = 13 + 42

Evaluate the sum

t = 55

Hence, the equation of the tennis ball is t = 13 + 42

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Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)

Step-by-step explanation:

Answer:it would be 4.6x10^11

Step-by-step explanation:

To evaluate the expression with the given values, we need to substitute them and perform any required calculation.

To do so, we need to remember the following rule:

If we have a multiplication of two numbers with different signals, one of them positive and the other negative, the result will be negative. If the multiplication is made with two numbers with the same signal, both positive or both negative, the result will be positive.

From this, we perform the following calculation:

From the solution developed above, we are able to conclude that the solution is:

The basic operation use for the problem is subtraction.

The number of miles Santina drove than Carole is 14 miles.

Basic operations are the building blocks and rules of math.

The basic operations are  addition, subtraction, multiplication, and division.

On a trip to Florida. Santina drove 203 miles and Carole drove 189 miles.

The distance in miles Santina drive than Carole is the difference between there distance travelled.

Therefore, the basic operation applied in this problem is subtraction.

Hence, let's solve it as follows:

miles Santina drove than Carole = 203 - 189  = 14 miles

Therefore, Santina drove 14 more miles.

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The basic operation used for the problem will be; subtraction. Santina drove 14 more miles than Carole.

Basic operations are the building blocks and rules of math. The basic operations are addition, subtraction, multiplication, and division.

On a trip to Florida. it is given that Santina drove 203 miles and Carole drove 189 miles.

The distance Santina drives is miles than Carole, which is the difference between their distance traveled.

Thus, the basic operation applied in this problem will be; subtraction.

Hence, let's simplify  it as follows:

The miles, Santina drove = 203 - 189  = 14 miles

Therefore, Santina drove 14 more miles than Carole.

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Explanation

Step 1

draw the rectangle

here we have a rigth triangle,then

Let

so, we need a function that relates those values

replace and solve for length

Step 2

width

similarity, we need a function that relates

let

replace and solve for w

Step 3

finally, the area of a rectangle is given by

therefore, the answer is

I hope this helps you

Answer:

The answer is 13

you can find the slope taking two points of a graph or function,

identify the rightmost point and apply this equation

where (x2,y2) is the rightmost point and (x1,y1) is the other point

If i have two points (3,4) and (6,2)

the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right

so, apply the equation

So, the slope is

Answer:

Explanation:

Here, we want to get the values in the segments

a) Here we would have to open up the brackets

Now, to do this, we are going to use the distributive property

By using the distributive property, we will be able to open up the brackets

Doing this, we can get the values in the brackets

So the answer here is distributive property

b) Here, we have

14 = -y after combining the like terms

The correct answer here is the subtraction property of equality

We simply subtract 3y from both sides of the equation to arrive at this answer

c) -14 = y

We have the multiplication property of equality

The reason for this is that we multiplied both sides by -1 to arrive at this answer

d) y = -14

This is the symmetric property of equality

We have this here because if two values are equal on both sides, we can switch each to the opposite sides and still retain the same equality values

The solution is:

*The expression describes the number that is 8 to the left of -8 on the number line. [Option A].

Step-by-step explanation:

if x = 2, then x^2 = 4, the inverse would thus be: if x^2 = 4, then x = 2.

This is partially true though since multiple values would satisfy the equation x^2 = 4, or rather 2 values. negative two and positive two. So x=2 is one solution, but just because x^2 = 4, that doesn't necessarily imply that x=2.

Given the figure in the attached image.

The polygon has 4 sides, and all the four sides are equal.

but the four angles are not given to be equal.

Therefore, the polygon shown in the figure is a Rhombus

Given the expression:

15 - (x • 9)

Let's simplify the expression.

To generate an expression equivalent to the given expression, simplify the expression inside the parentheses.

Thus, we have:

ANSWER:

a=b

b=5

a=5

Symmetric propery of equality. (D)

It states that if quantity a equals quantity b, then a equals b.

Answer:

True

Step-by-step explanation:

SSS is being shown because the two sides are known by congruence marks, and the third side is known because it is equal--the two triangles are sharing it.

Let A be the event that "it's Abe's responsibility to cook dinneron any given night" and B be the event that "family goes out to a restauarnt to eat".

iven that:

Draw the tree diagram.

Use Baye's theorem

To now how many had a score under 66, we have to calculate the following probability

So the amount of people that had a score under 66 is

So 6 people get a score under 66

Given data:

The given number is 85.

The given number 85 can be expressed in terms of their prime factors as,

Thus, yes 85 can be expressed in terms of their prime factors as 17x5.

The equation for the graph is :

You can graph the equation on a graph tool and view the graph as below:

From the graph, you can see that it opens upwards, so the statement is False.

Correct answer is that the graph opens upwards.

Answer choice : False

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?​.

Solution:

Let the function f(x) whose second derivative is:

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

that is:

EQUATION 2:

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

That is:

Solve for C1:

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

Then f(5) would be:

then the correct answer is:

SOLUTION

The given complex unbers are:

Add the complex numbers:

Simplify the expression:

Therefore the required answer is: 0+0i

Here 3 is smaller than 512 so we write 0.00 as the quotient.

Now 3000 is divisible by 512.

Substract 2560 from 3000, we get 440

now again 440 is smaller than 512, so we write 0 near 440 we get 4400.

Now 4400 is the dividend.

If we proceed with this division we get

Hence the approximate answer is

Remember that

1 ft=12 in

1 yd =36 in

so

The garden is 23 ft by 31 ft

Convert to inches

23 ft=23*12=276 in

31 ft=31*12=372 in

Find out the volume

V=(276)*(372)*(4)

V=410,688 in3

Convert to cubic yards

410,688 in3=410,688*(1/36)^3=8.80 cubic yards

Remember that

The store only sells in increments of 1/4 cubic yards

so

EXPLANATION

The slope of a line, is given by the next expression:

Where (x_1,y_1) = (2,8) and (x_2,y_2)=(12,20)

Plugging in the values into the expression:

Subtracting numbers:

Simplifying:

In conclusion, the solution is 6/5

From the question,

We also have

Remember that the sum of angles at a point equals 360°. Therefore

Therefore, m(AB) is 110°.

Hence, OPTION B is correct.

EXPLANATION

Let's see the facts:

Inspect period = 10 flight hours

Flown= 3 flights/2.75 hours

Total flights hours = 3x2.75 = 8.25 hours

The difference is 10-8.25 = 1.75 hours.

We need 1.75 hours more before the next wing inspection.