Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch pieces of wood as shown in the diagram. He wants to make sure that the frame is a rectangle, so he measures the diagonal. What must the length of the diagonal be to ensure that the corners of the frame are right angles?

Abus travels 36 miles in 45 minutes. enter the number of miles the bus travels in 60 minutes at this rate.

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.

Susie wants to take her friend out for lunch.she wants to spend $9.75 each person. how much will she spend in all.