Question

Find the value of x. Round the answer to the nearest tenth, if needed.

A.
4.8
B.
5.1
C.
8.2
D.
9.5

Answer 1

Answer: x=9.5

Explanation:

hypotenuse/leg=hypotenuse/leg

13/x=x/7

x*x=13*7

x^2=91

x=sqrt 91

x=9.5

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie

Answer 2

D

Explanation:

The diagram is composed of one large right triangle and inside it it's divided into 2 small right triangles. Since these triangles all have the same shape but not the same size, they are similar triangles. Using similar triangles, create a proportion of side lengths. A proportion is an equation with equal ratios from the large triangle to a small. Notice the large triangle has a hypotenuse of 6+7 = 13 and a leg of x. The small triangle has a hypotenuse of x and a leg of 7.

`(hypotenuse)/(leg)=(hypotenuse)/(leg)`

`(13)/(x)=(x)/(7)`

To solve for x, cross multiply the numerator with the denominator.

`x*x = 13*7\\x^2 = 91\\x=√(91) \\x=9.5`