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
Given: 12x +20
factor out a two: 2(6x +10)
factor out a four: 4(3x+5)
factor out 3/4: 3/4(9x +15)
factor out 1/2: 1/2(6x +10)
Hint: think of Multiples of 12 and 20
Hope this helps!
The answer i got was y= -x+5
Since 1/3 is equal to 2/6, only 4 pieces of lasagna would be left.
Since 0.10 is a decimal, multiplying 104.3 by 0.10 is actually dividing 104.3 by 10. Thus 104.3 multiplied by 0.10 is 10.43.
