Sienna planned a trapezoid-shaped garden, as shown in the drawing below. A trapezoid has a top side length of 4 inches, the bottom side length of 9 inches, and a left side length of 6 inches.
She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft. Which expression finds the change in the scale factor?
StartFraction 4 inches over 24 feet EndFraction
StartFraction 32 feet over 4 inches EndFraction
StartFraction 24 feet over 32 feet EndFraction
StartFraction 32 feet over 24 feet EndFraction

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Afootball quarterback has two more chances to throw a touchdown before his team is forced to punt the ball. he misses the receiver on the first throw 25% of the time. when his first throw is incomplete, he misses the receiver on the second throw 15% of the time. what is the probability of not throwing the ball to a receiver on either throw?