A rectangle with vertices A (4,8), B (16, 8), C (16, 20) and D (4, 20) is dilated about the origin as the center. Find the vertices of the image if the scale
factor is 1/4.
O A' (1, 2), B' (4,8), C (4,5) and D' (1,5)
OA (1,2), B' (4,2), C (4, 5) and D' (1,5)
O A (1, 2), B' (4,2), C (4, 5) and D' (4, 10)
OA (2, 2), B' (4,2), C (4, 5) and D' (1,5)

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

Problem situation: caren is making rice and beans. she can spend no more than $10 on ingredients. she buys one bag of rice for $4.99. beans cost $0.74 per pound. how many pounds of beans, x, can she buy? inequality that represents this situation: 10≥4.99+0.74x drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.

The angles in a triangle are represented by 5x, 8x, and 2x+9. what is the value of ? a.10.8 b.11.4 c.9.7 d.7.2