When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image?
a. the orientation changes, and the angles remain congruent
b. the shape changes, and the side lengths remain congruent
c. the position changes, and the angles remain congruent
d. the size changes, and the sides remain congruent

What value of x is in the solution set of –5x – 15 > 10 + 20x?

Can (2,3 and square root 10) be sides ona right triangle?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply