First the number of ways of selecting 3 students out of 8 is 8*7*6/(3*2*1)=56.
There are 6 ways of arranging the officers, so the total number of ways is 6*56=336
The two horizontal lines are parallel.
This makes the 80 degree angle and the angle ox x and 20 degrees are alternate interior angles and are the same.
This means x + 20 needs to equal 80.
X = 80-20 = 60 degrees.
Each bike has two tires, while each quad has four tires. Therefore the number of tires Ruby has to other is given by the number of tires used by the bikes added by the number of tires used by the quads. This is shown on the expression below:
Answer:
⦿ (7, 2)
Step-by-step explanation:
Try each solution in both inequalities and see which solution makes both inequalities true.
4x + 2y > 8
x - y ≥ 2
A. (2, 4)
4(2) + 2(4) > 8
16 > 8 True
2 - 4 ≥ 2
-2 ≥ 2 False
B. (4, 0)
4(-4) + 2(0) > 8
-16 > 8 False
C. (7, 2)
4(7) + 2(2) > 8
32 > 8 True
7 - 2 ≥ 2
5 ≥ 2 True
D. (1, -3)
4(1) + 2(-3) > 8
-2 > 8 False
Answer: C.