A triangle and trapezoid share a 15 inch base and a height of 10 inches. For what values of b is the area of the trapezoid less than twice the area of the triangle?
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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.
x>
and x<
inches
Question 2
For x= 15 inches, the area of the trapezoid is twice the area of the triangle, so x must be less than 15 inches.
b. Can the area of the trapezoid be exactly twice the area of the triangle? Explain your reasoning.
no; When x = 15 inches, the quadrilateral is a rectangle, not a trapezoid.
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x> 0
and x< 15
inches
Question 2
Answer For x= 15 inches, the area of the trapezoid is twice the area of the triangle, Answer so x must be less than 15 inches.
b. Can the area of the trapezoid be exactly twice the area of the triangle? Explain your reasoning.
no; When x = 15 inches, the quadrilateral is a rectangle, not a trapezoid was that Helpful or nah comment what you think and please read what I said to find your Answer Thanks have a good day, evening, afternoon, or night bye.
My questions answer box is __<x<__ please help what do I put in the first blank
10(b+15)/2 <= 2 * 10*15/2
b+15 <= 30
b <= 15
Just FYI: a triangle with base b is just a special case of a trapezoid, where the top base is zero. The average of the bases is just b/2