What is the area of the trapezoid?A.
480 square feet

B.
96 square feet

C.
52 square feet

D.
240 square feet
mathgirl22 avatar

Answers

Answer 1
Answer: To find the area of the trapezoid you add the two bases then multiply by the base and divide by 2. 

B1+b2= 24+16=40
40*h=40*12=480
480/2=240

D. 240 square feet.

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Which of these triangle pairs can be mapped to each other using two reflections? Triangles X Y Z and P Y T are connected at point Y. Triangle X Y Z is reflected across X Y and then is reflected another time across Y Z to form triangle P Y T. Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected 3 times to form triangle A Y T. Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected across side X Y and then is shifted down to form triangle A Y T. Triangles X Y Z and A Z T are connected at point Z. Triangle X Y Z is reflected and then rotated to form triangle A Z T.

Answers

The correct option is  (A). \Delta XYZ and \Delta PYT are connected at point Y. \Delta XYZ is reflected across XY and then is reflected another time across YZ to form \Delta PYT.

Given, \Delta XYZ and \Delta PYT are connected at point Y.

\Delta XYZ is reflected about XY will shift the marked angle from left to right while the right side angle will remain at the same location and the triangle will remain upright to give\Delta X'Y'Z'.

Reflection about the YZ will give the marked angle and the right angle in the same location and the vertex X will then be changed to P.

Thus , \Delta XYZ can be mapped to \Delta PYT with two reflections.

In the second option, we have \Delta XYZ is reflected 3 times which is more than 2 times as said in question. so this statement is false.

In next option \Delta XYZ is reflected across side XY and then is shifted downwards to form \Delta AYT .since here we have only one reflection, so this statement is also false.

4) In option 4 \Delta XYZ is reflected and then rotated thus option 4 is also not a correct option.

Hence the correct statement is \Delta XYZ and \Delta PYT are connected at point Y. \Delta XYZ is reflected across XY and then is reflected another time across YZ to form \Delta PYT.

For more detail follow the link:

brainly.com/question/8668014

Answer:

The correct option is the first option;

Triangle XYZ and PYT are connected at point Y. Triangle XYZ is reflected across XY and then is reflected another time across YZ to form triangle PYT

Step-by-step explanation:

To answer the question we look at each option as follows;

1) The parameters given are triangle XYZ and PYT are connected at point Y

Triangle XY is reflected about XY will shift the marked angle from left to right while the right angle will remain at the same location and the triangle will remain upright to give triangle X'Y'Z'

Reflection about the YZ will give; the marked angle and the right angle in the same location and the vertex X will then be changed to P

Therefore, triangle XYZ can be mapped to triangle PYT with two reflections

2)  In the second option, we have triangle XYZ is reflected 3 times which is more than 2 times as in the question, therefore, option two is less suited as an answer to the question

3) Triangle XYZ is reflected across side XY and then is shifted down to form triangle AYT

Therefore, since we have only one reflection, option 3 is also not appropriate as an answer

4) In option 4 triangle XYZ is reflected and then rotated therefore option 4 is also not a correct option.

The perimeter of a square is 24 cm. what is the length of the diagonal

Answers

A square is equal on all 4 sides and in this problem all sides are equal to 6. Therefore you have an isosceles right triangle with two sides of six making the Hypotenuse 6*the square root of two.
( the rule for an isosceles right triangle is the two legs are equal to X and the Hypotenuse is equal to X* the square root of 2  

Two less than two thirds times a number is ten

Answers

Let the number be x
2/3*x - 2 = 10
or, 2/3 * x =12
or x= 12*3/2
or, x = 18

In the united states, only the metric system of measurement is used. true or false.

Answers

Answer:

The correct answer is FALSE

Step-by-step explanation:

The given statement : In the united states, only the metric system of measurement is used.

We need to find whether the given statement is true or false.

Now, In united states the construction standards using the metric system have not been established.

Therefore, the metric system of measurement is very rarely used in the United States.

So we can say that the given statement : "In the united states, only the metric system of measurement is used" is FALSE.

Hence, the correct answer is FALSE

FALSE.................

Round off 3.55 to one significant figure

Answers

Well  I Think it is 4 because it says round off 

Three times the sum of a number n and 5 is at least 17.

Answers

3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

What is an Inequality?

The relationship between two expressions or values that are not equal to each other is called inequality.

Given that three times, the sum of a number n and 5 is at least 17.

According to the question, the expression will be = 3(n+5)≥17

Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

For more references on inequality, click;

brainly.com/question/28823603

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Answer:

3(n+5)≥17

Step-by-step explanation:

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