All categories

3 years ago

Which of the following represents the length of a diagonal of this trapezoid?

Mathematics

1 answer:

seropon [69]3 years ago

5 0

Answer:

(D)

Step-by-step explanation:

Given ABCD is a trapezoid.Join the points A and C of the trapezoid together to form a diagonal of the trapezoid.Thus, Points A and C have coordinates (-a,0) and (b,c).

Using the distance formula on AC, we have

AC= $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

= $\sqrt{(b+a)^{2}+(c-0)^{2}}$

= $\sqrt{(a+b)^{2}+c^{2}}$

which is the required length of the diagonal of the trapezoid.

You might be interested in

Find the location of Y, the midpoint of XZ X is located at (3,-9)

Levart [38]

The location of point Y is the point -3 on the number line

Here, we want to find the location of Y

let us say the point 0 represents the origin

The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)

To find the location of Y , we proceed to use the midpoint formula as follows;

$(x,y)=\frac{x_{1\text{ }}+x_2}{2},\frac{y_{1\text{ }}+y_2}{2}$

Thus, we have;

(-9 + 3)/2 , (0 + 0)/2

= -6/2 , 0

= (-3 , 0)

3 0

10 months ago

Order these from least to greatest: 0.15, 0.21, 0.07, 0.28, 0.13, 0.16

wariber [46]

0.07, 0.13, 0.15, 0.16, 0.21, 0.28

3 0

3 years ago

Read 2 more answers

15 increased by 40%, I have no idea what that means

elena-s [515]

It’s 21 it technically just means your increasing the 15 by 50 percent

8 0

2 years ago

Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle?

Leto [7]

7*2=14
14*3=42

Michelle is 42 years of age...

6 0

2 years ago

Assume that you are going to open a checking account. You are examining different banks and banking accounts, to choose a

Alexxandr [17]

Explain how the reactions of “the bloodless ghouls” to Orpheus’s song in paragraph 3 are important to the overall theme of the story. Cite evidence from the story in your response.

8 0

2 years ago