The two images below are similar Find the value of x in the image. Round your answer to the nearest tenth.
the orignial sides are: 31in and 20.7in. the new side on the bottom is 14.6
To find the value of x, we can use the concept of similar triangles.
In similar triangles, corresponding sides are proportional.
Let's set up a proportion using the given information:
31 inches / 14.6 inches = 20.7 inches / x
Cross-multiplying gives us:
31 inches * x = 14.6 inches * 20.7 inches
x = (14.6 inches * 20.7 inches) / 31 inches
x ≈ 9.7187 inches
Rounding to the nearest tenth, x ≈ 9.7 inches.