Answer:
x = 9 inches
Explanation:
You want the value of x in the similar triangles shown.
Proportion
Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.
6/4 = (6+x)/10
15 = 6 +x . . . . . . . . multiply by 10
9 = x . . . . . . . . . subtract 6
The measure of x is 9 inches.
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Additional comment
You could also write the proportion ...
6/4 = x/(10 -4)
x = 36/4 = 9 . . . . . . . multiply by 6
You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.
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