Figure pqsr and figure p's'q'r are shown in the coordinate grid below which statement describes how figure pqsr was transformed to form the image p'q'r's?
A. a translation across the x-axis
B. a reflection across the x-axis
C. a translation across the y-axis
D. a reflection across the y -axis

D

Step-by-step explanation:

A translation would be shifting the figure in any direction, but the figure would retain it's shape and pqrs would all be at their same corners. A reflection means the figure will essentially be "flipped" across an axis, and in this case it would be the y-axis as you can imagine "folding" over the y-axis and having the figures line up.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.