Explain why any parallelogram that is inscribed in a circle must be a rectangle. Draw pictures and think about the properties of both cyclic quadrilaterals and parallelograms.

Explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Opposite angles of a parallelogram are congruent. Supplementary angles that are congruent must be 90°. Hence an inscribed parallelogram must be a rectangle.

a. 1 cup of yellow and 1.75 cups of blue

b. 4 cups of yellow and 7 cups of blue

Step-by-step explanation:

a. We can multiply both sides of this ratio by an number of our choice to get an equivalent ratio. 2:3.5 = 1: 1.75. (We are multiplying by 1/2)

b. 2 : 3.5 = 4 : 7 (We are multiplying by 2)