Use the image to answer the question.
An illustration shows two triangles, one big and one small. In the small triangle, one side measures 11.4 inches and another side measures 18 inches. In the big triangle, the side corresponding to 11.4 inches in the small triangle measures x and the side corresponding to 18 inches measures 23.4 inches.
What is the length of x in decimal form to the nearest hundredth?
(1 point)
inches
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Since the triangles are similar, we can set up a proportion to find the length of x:
x/11.4 = 23.4/18
Cross multiplying, we get:
18x = 11.4 * 23.4
Dividing both sides by 18, we get:
x = (11.4 * 23.4) / 18
Evaluating the expression, we find that x ≈ 14.73 inches. Therefore, the length of x to the nearest hundredth is 14.73 inches.