The arcs FA, AB, and <u>BF</u> make up the entire circle, so their measures sum to 360°:
arcFA + arcAB + arcBF = 360° → arcBF = 360° - 160° - 140° = 60°
By the inscribed angle theorem, angle BAF has measure equal to half of that of arc BF, so
angleBAF = 30°
By the secant-tangent theorem (not sure if there's an official name for it), the measure of angle ACF is equal to half the difference of the arcs it intercepts, namely BF and FA, so that
angleACF = 1/2 (arcFA - arcBF) = 1/2 (160° - 60°) = 50°
Now use the law of sines for solve for FA:
sin(angleACF) / FA = sin(angleBAF) / FC
sin(50°) / FA = sin(30°) / 10
FA = 10 sin(50°) / sin(30°) ≈ 15.3
You find a parallelogram area by this formula:

Where
b is its base and
h, its height.
You get
b's value applying distance between two points formula.
If A and B points form the base:

And
h is the perpendicular distance between both bases.
You can visit next link to know further about it:
https://www.ck12.org/geometry/Distance-Between-Parallel-Lines/lesson/Distance-Between-Parallel-Lines
-GEOM/
And in attached picture you can find an example in progress you may want to finish.
X + y = 400
8x + 5y = 2750
-5x - 5y = -2000
8x + 5y = 2750
3x = 750
250 adult tickets
150 children tickets
Answer: the answer is D
Step-by-step explanation:
20+25= 45 minutes already used up. there are 120 minutes in 2 hours that she has.
120-45= 75
75/120= .625
.625x100 to get you your percentage = 62.5%