The answer to this is C. 72
Angle-A and angle-B are alternate interior angles with parallel lines cut by a transversal. That tells you that the two angles are EQUAL. So you can write
8x + 78 = 2x + 114 ,
and it should all be smooth sailing for you from that point.
Answer: A
Step-by-step explanation:
The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.
50 represents pounds per/box
x represents the number of boxes you can hold
400 represents the weight of the piano
1600 represents the max weight.
In the right triangle ABC wherein AB is the hypotenuse, BC is the opposite and CA is the adjacent tanA=0.45. The approximate length of AB which is the hypotenuse is 22, Opposite (BC) is 9 and Adjacent (CA) is 20. You need to use pythagorean formula in getting the length of AB.
YOUR ANSWER IS (22).