21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
m∠R = m∠P = 180° -m∠Q
m∠Q = 107°
m∠P = 73°
25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.
27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
2w+4 = 5w-6 . . . . w = 10/3
12 = 3x-3 . . . . . . . x = 5
6y = 4y+6 . . . . . . . y = 3
27 = (5/4)z +2 . . . z = 20
The slope of this line is m=1
Step-by-step explanation:
Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Rewrite the middle with those numbers:
Step 3: Factor the first two and last two terms separately:
Answer:
∠ B = 53°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for B
∠ B = 180° - (90 + 37)° = 180° - 127° = 53°
