The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches

hiking down a winding trail.

step-by-step explanation: