Answer:
Step-by-step explanation:
5(2+7) 5 x 9 =45
5 x(2+7)
5 x(9)
5 x 9
= 45
There is not enough Information.
Let the width be w.
The length is 5 yd less than twice the width, so the length is 2w - 5.
The area is LW, and the area is 52 yd^2
LW = A
(2w - 5)(w) = 52
2w^2 - 5w = 52
2w^2 - 5w - 52 = 0
2w^2 - 13w + 8w - 52 = 0
w(2w - 13) + 4(2w - 13) = 0
(2w - 13)(w + 4) = 0
2w - 13 = 0 or w + 4 = 0
2w = 13 or w = -4
w = 6.5 or w = -4
Since a width cannot be a negative number, discard the solution w = -4.
The width is 6.5 yd.
The length is 2w - 5 = 2(6.5) - 5 = 13 - 8 = 8
The length is 8 yd.
The length is 8 yd, and the width is 6.5 yd.
Answer:
see explanation
Step-by-step explanation:
Alternate exterior angles are congruent, thus
∠ RST = ∠ RQP , substitute values
7x + 11 = 4x + 32 ( subtract 4x from both sides )
3x + 11 = 32 ( subtract 11 from both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Thus
∠ RST = 7(7) + 11 = 49 + 11 = 60°
∠ RQP = 4(7) + 32 = 28 + 32 = 60°
