Answer:
C
Step-by-step explanation:
The average is the total of the scores divided by 5.
128 x 5 Gives us the total scores of 640. I know that one bowler had a score of 160. I will subtract that from the total of 640. 640-160 = 480. Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120
Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
2/5 (x-4)=2x answer is x= -1
