What is the length of x in decimal form to the nearest hundredth?

Question

(1 point)

first triangle: 11.4 in. 18 in.

Second triangle: x 23. 4 in.

Answer 1

To find the length of x in decimal form to the nearest hundredth, we need to use the concept of similar triangles.

Let's set up a proportion between the sides of the two triangles:

11.4 in / 18 in = x / 23.4 in

Cross multiplying, we get:

11.4 in * 23.4 in = 18 in * x

265.56 in² = 18 in * x

Now, we can solve for x by dividing both sides of the equation by 18 in:

x = 265.56 in² / 18 in

x ≈ 14.75 in

Therefore, the length of x in decimal form to the nearest hundredth is approximately 14.75 inches.

Answer 2

wouldnt it be 14.82

Answer 3

Apologies for the mistake. Let's recalculate the length of x:

x = 265.56 in² / 18 in
x ≈ 14.753 in

Rounded to the nearest hundredth, the length of x is approximately 14.75 inches.