Use the image to answer the question. The image depicts two triangles, one of the triangles has one side being 11.4 in and the other side being 18 in. The other triangle has one side being 23.4 in and then the other side is blank with an x. What is the length of x in decimal form to the nearest hundredth

1 answer

To find the length of the missing side with x, we need to set up a proportion using the two triangles.

The ratio of the sides of the first triangle is 11.4/18. Similarly, the ratio of the sides of the second triangle is x/23.4.

Setting up the proportion:

11.4/18 = x/23.4

Cross multiply to solve for x:

11.4 * 23.4 = 18x

266.76 = 18x

Divide by 18 to isolate x:

x = 266.76 / 18 = 14.82

Therefore, the length of x is 14.82 inches to the nearest hundredth.
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