A contractor has 75 feet of safety rail. The foreman is going to install it in such a way that the work area is divided into two congruent rectangles. The table represents the total fenced area, a(s), depending on the length of the shared side, s. The equation a(s) = 37.5s − 1.5s2 models the function represented in the table. Fill in the blank to complete the restricted domain of the function. D = {0 ≤ s ≤ }

The triangles are similar. what is the value of x? show your work.

Which of the following answers is 5/25 simplified? 1/5 5/5 2/5 1/25

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality