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:
L=193
Step-by-step explanation:
Initial length of the road =57mi
L= Total length
D=number of days worked
Number of miles added in 1 day= 4mi
Therefore,
L=57+D*4
After 34 days,
L=57+(34*4)
L=193mi
Answer:
C. consecutive interior angles
Step-by-step explanation:
The subject angles are between lines <em>a</em> and <em>b</em>, so are interior (not exterior). They are on different corners of the intersection, so are not corresponding. They are on the same side of line <em>c</em>, so are not alternate. The share a side, but not a vertex, so they are consecutive. The appropriate choice is ...
... C. consecutive interior angles
x + x + 3 + x - 8
3x - 5 = 55
3x = 60, x = 20
Since we put Julie as x, we put Janet at x + 3, and the brother is x - 8 (8 years younger)
Julie is 20
Janet (x + 3) = (20 + 3) = 23
Brother(x - 8) = (20 - 8) = 12
