Part A
The small red arcs indicate that angles PQS and RQS are congruent.
13x - 1 = 2(6x + 4)
13x - 1 = 12x + 8
x = 9
m<PQR = 13x - 1 = 116
m<RQS = 6x + 4 = 6(9) + 4 = 58
m<PQS = 116 - 58 = 58
Part B
12^2 + (OH)^2 = 13^2
144 + (OH)^2 = 169
(OH)^2 = 25
OH = 5
r = OH = 5
Part C
WZ/ZY = WX/XY
24/12 = 30/XY
2 = 30/XY
2(XY) = 30
XY = 15
Answer:
5 meters
Step-by-step explanation:
If the smallest rectangle has a length of 8 meters, and a perimeter of 24 meters then its width is given by:

We can conclude that the width is half of the length for both rectangles. Therefore, the width of the larger rectangle, with a perimeter of 30 meters, is:

The width of the original rectangle is 5 meters.
Answer:
Step-by-step explanation:
2x + 9 = 15
you move + 9 to the other side of the equation, you will get:
2x = 15 - 9
2x = 6
So, x = 3