Answer:
5.5 yd
Step-by-step explanation:
The angle opposite to x is 20°
Reason: Alternate interior angles are equal
= tan 20°
x = 15 × tan 20° = 5.459553514 yd
That is 5.5 yd (answer rounded off to nearest tenth).
6.5c + 9.7a = 1721.4
a = 4c
6.5c + 9.7(4c) = 1721.4
6.5c + 38.8c = 1721.4
45.3c = 1721.4
c = 1721.4 / 45.3
c = 38...so there were 38 childrens' tickets <==
and 152 adult tickets
Assuming 0 and 100 are included in the possible choices:
There are

multiples of 7 between 0 and 100, so there is a

probability of choosing a multiple of 7.
Answer:
x ≈ 34.88 square cm
Step-by-step explanation:
Solve by proportional formula:
Area of a sector/area of circle* = sector central arc measure/360
*area of a circle = πr²
x/(53.29π) = 75/360
x/53.29π = 0.2083
x = 11.1020833π
x = 34.8782233
x ≈ 34.88 square cm