Answer:
QR(3), RS(3), PQ(3), ST(11), RP(6), RT(14), SP(9), QT(17)
Step-by-step explanation:
The diagram is not shown, but we assume the points are in the sequence ...
P, Q, R, S, T
Since QR = RS, R is apparently the midpoint of QS, So ...
23. QR = 6/2 = 3
24. RS = QR = 3
25. PQ = QR = 3
26. ST = PT -PQ -QS = 20 -3 -6 = 11
27. RP = PQ +QR = 3 +3 = 6
28. RT = RS +ST = 3 +11 = 14
29. SP = PQ +QS = 3 +6 = 9
30. QT = QS +ST = 6 +11 = 17
Answer:
b^8
Step-by-step explanation:
9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.