5. In the diagram at the right, the length of alsquaredis (3x + 7) units. The dimensions of the cut-out rectangle
are x by (2x + 5) units. Which choice expresses the area of the shaded regions, in square units?
("Complexity Level 3)
It's a square, so both the
length and width are
3x + 7.
A 7x2+37x +49
(2x + 5)
To find the area of the
B. 11x?+47x +49
shaded
find the
region,
3x +7
C. 7x2 + 47x +49
area of the inside
D. 7x? + 5x +49
rectangle and subtract
from the area of the
Area
Area
big square.
shaded
Lithe
3x +7
3x 1
3х
2x
=(9x<+42x+49) - Tzx²75x)
7 Yax/99
= 9x +42x+49 - 2x+-5
Area
Shaded = 7x2 +37x +491
Arena 9x +42x +49
= Area
=(3x+7)(3x+1) - €2x+3)(x)
9x3x
5

What is the solution to the equation in the & show work i’m very

D(5, 7). e(4,3), and f(8, 2) form the vertices of a triangle. what is mzdef? oa. 30° ob. 45° oc. 60° od 90°

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.