Each of the following describes a variable expression. 1. The area of a rectangle that is (x + 2) units long and 4 units wide.
4(x + 2)
2. The perimeter of a rectangle that is (x + 3) units long and (x + 1) units wide.
2(x + 3) + 2(x + 1)
3.
The volume of a rectangular prism that is 2 units long, 1 unit wide, and (2x + 4) units high.
2(1)(2x + 4)

Which variable expressions are equivalent?

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

1. 2. ∠b and ∠y are right angles. 3.? 4.? which two statements are missing in steps 3 and 4? ∠x ≅ ∠c △abc ~ △zyx by the sas similarity theorem. ∠b ≅ ∠y △abc ~ △zyx by the sas similarity theorem. = 2 △abc ~ △zyx by the sss similarity theorem. = 2 △abc ~ △zyx by the sss similarity theorem.

Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?