Question

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

Answer 1

Answer: x=9.5

Step-by-step 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

Answer:

D

Step-by-step 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.

$\frac{hypotenuse}{leg}=\frac{hypotenuse}{leg}$

$\frac{13}{x}=\frac{x}{7}$

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

$x*x = 13*7\\x^2 = 91\\x=\sqrt{91} \\x=9.5$