Sadie uses the polynomial identity (2x + y)^2 = 4x^2 + 4xy + y^2 to show that 23^2 = 529. What values can Sadie use for x and y?
A. x = 8 and y = 15
B. x = 8 and y = 7
C. x = 15 and y = 8
D. x = 7 and y = 8

Mrs. renoir has completed the interior portion of a quilt top measuring

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn. if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.