Part A: First, list multiples for each number. The multiples of 5 are: 5, 10, 15, 20, 25 30, 35, 40, 45, 50, 55, 60, etc. The multiples of 12 are: 12, 24, 36,48, 60, etc. The least common multiple is the first common multiple between the two, in this case being 60. The LCM of 5 and 12 is 60.
Part B: SImilar to above, list all factors for each number. 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 81: 1, 3, 9, 27, and 81. The greatest common factor is the highest common number, 9 in this case. The GCF of 72 and 81 is 9.
Part C: To rewrite, we need to take out the 9 by dividing. 72/9 is 8. 81/9 is 9. Therefore, we would get 9(8+9), to equal 153. Your answer here is 9( 8 + 9 ). Hope this helped!
Answer: The first table has a slope of 5 and y-intercept of 20
Step-by-step explanation: You can find the y-intercept by looking for when X=0. When X=0 the y point would be the y intercept. In this case it is (0, 20).
You can find the slope by doing the change in y divided by the change in x. For this the change in y would be 60 and the change in x would be 12. This leaves 60/12 which is 5.
Answer:
They are two angles that have a common vertex and a common side.
Step-by-step explanation:
Assuming you want to solve for a, then
ad - 7 = y (reversing the equation to have a on left side )
add 7 to both sides to isolate the term with a
ad = y + 7 ( divide both sides by d )
a = 