The two angles are vertical angles, which means they are the same.
Set the two equations to equal and solve:
2x +2 = 3x -52
Subtract 2x from each side:
2 = x -52
Add 52 to each side:
x = 54
Answer:
see below
Step-by-step explanation:
In addition to the exponent rule ...
(a^b)^c = a^(bc)
it is helpful to know the first few powers of some small integers.
5^3 = 125
9^2 = 81
4^3 = 64
2^6 = 64
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- 125^3 = (5^3)^3 = 5^(3·3) = 5^9
- 81^7 = (9^2)^7 = 9^(2·7) = 9^14
- (1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
- (1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18
Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

Rectangle = L * W
One side = length, other = width
9 cm * 6 cm = 54 cm^2
The area of 54 cm^2
Answer:
19% of households have more cars than the garage can hold
Step-by-step explanation:
We are given the following distribution for the number of cars owned by a family.
Number of cars X: 0 1 2 3 4 5 6
Probability: 0.07 0.31 0.43 0.12 0.04 0.02 0.01
We have to find the percentage of households have more cars than the garage can hold.
A garage can hold two cars. Thus, the household with more than two cars are the households that have more cars than the garage can hold.
The given distribution is a discrete probability distribution.
Thus, we evaluate:

Thus, 19% of households have more cars than the garage can hold.