What is the length of x in decimal form to the nearest hundredth?
(1 point)
first triangle: 11.4 in. 18 in.
Second triangle: x 23. 4 in.
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.
wouldnt it be 14.82
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.