On a math test, Stephen missed 3 computation problems and 1 word problem for a total of 9 points off. Brad missed 2 computation problems and 2 word problems for a total of 10 points off. This relationship can be represented by the system of equations below, where x stands for the point value of computation problems missed and y stands for the point value of word problems missed.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Eric drove 275 miles in 5 hours. at the same rate how long would it take him to drive 495 miles?