Let's solve this by creating an equation.
Let X = the second factor
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
Answer:
Step-by-step explanation:
Given
Required
Determine the proper subsets
This is calculated by:
<em>Where n is the number of elements in the set.</em>
In this case,
So:
Answer:
$295
Step-by-step explanation:
Let d represent the amount Danny contributed. Then Beth contributed (d+80) and Katie contributed ((d+80)-20) = (d+60). The total from the three friends is ...
d + (d+80) +(d+60) = $1025
3d = 885 . . . . . . . . . . . . . . . . . . . subtract 140
d = 295 . . . . . . . . . . . . . . . . . . . . divide by 3; Danny's contribution
Danny contributed $295.