Answer: 153
Step-by-step explanation:
A straight line is a 180 degree angle.
If you subtract 38 from 180, you get your answer.
180 - 36 = 153
5)
x = 132 - 42
x = 90
Answer
90 degrees, right angle
6)
180 - 126 = 54
The other two are congruent so 54/2 = 27
Answer
27
7)
An exterior angle of a triangle is equal to the sum of the opposite interior angles
So
6x = 38 + 82
6x = 120
x = 20
Answer
20
8)
Sum of interior in a triangle = 180 degrees
So
2x - 3 + 23 + 128 = 180
2x + 148 = 180
2x = 32
x = 16
Answer
16
Let's make clear the question, because it may be confusing:
<span>"A health inspector must visit 4 of 14 restaurants on Monday. In how many ways can she pick a first, second, third, and fourth restaurant to visit?"
In order to solve the problem, you need to use permutations: you have 14 possible restaurants to choose as first, the second one will be chosen among the 13 restaurants left, the third one among the remaining 12 and the fourth one will be one of the remaining 11.
Therefore, the total number of possibilities is:
14 </span>× 13 × 12 × 11 = 24024
There are <span>24024 possible ways to choose the four restaurants to visit.</span>
Answer: 60
Greatest common factor of 120 = 60
And since 60 is also a common factor of 300 it is the greatest common factor of both numbers.
Hope this helps :)
