In the two similar trapezoids below, he = 20, what is da?
a. 10

b. 20

c. 30

d. 40

DA = 30

Step-by-step explanation:

Given : the two trapezoid AFGH and ABCD are similar.

We have to find the value of DA , given HE =20

Two figures are said to be similar if their corresponding sides are in same ratios.

The two given  trapezoid AFGH and ABCD are similar.

Then their corresponding sides are in same ratios that is

Substitute the values for given sides , we have,

 .....(1)

Now , first we find the value of x,

Comparing second and third ratio, we have,

Cross multiply, we get

Simplify for x, we have,

Thus, x = 2 as x can not be negative.

Then (1) becomes,

Comparing first and third ratio, we get,

Now solve for DA,

we get DA = 30

Thus, DA = 30

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the correct answers i think are b. and d.

give me brainliest if it is correct!