Answer:
a=22.6549
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 0.99484 rad = 57°
a = c·sin(A)/sin(C) = 22.6549
b = c·sin(B)/sin(C) = 12.33874
Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:

Solving for x, we have:

Therefore, x=22.67 and the answer is A.
Answer:
140 minutes
Step-by-step explanation:
After 28 mins you've gone 4 miles, assuming this rate is constant and you dont slow down or speed up, in order to get to 20 miles you will have run 5x as much (20/4 = 5), thus 5x the amount of time (28x5).
20/4 = 5
5x28 = 140
Quotient : 5x + 8 Remainder : 14x2 + 5x + 11
Answer:
a < 
Step-by-step explanation:
Given
a - 15 > - 40 - 6 + 3a ← simplify right side
a - 15 > - 46 + 3a ( subtract a from both sides )
- 15 > - 46 + 2a ( add 46 to both sides )
31 > 2a ( divide both sides by 2 )
> a ⇒ a < 