Represent the given condition using a single variable, x.
-The base and height of a triangle whose height is eight less than five times its base.
A)height = x; base = 8x - 5
B)height = x; base = 5x - 8
C)base = x; height = 8x - 5
D)base = x; height = 5x - 8

Question

Quizplus · Accepted Answer

Let x be the base of the triangle. Then, according to the given condition, the height of the triangle is 5x - 8 (eight less than five times the base). Therefore, the correct choice is D, where base = x and height = 5x - 8. The condition states that the height (h) is eight less than five times the base (b), which can be represented as h = 5b - 8. Therefore, the base should be represented by x, which corresponds to choice D where base = x and height = 5x - 8.

Represent the Given Condition Using a Single Variable, X