Answer:
x = 16
Step-by-step explanation:
Since vertical angles are equal, we can set these two expressions equal to each other to solve for x:
(1/2)x + 12 = (3/4)x + 8
12 = 0.25x + 8
4 = 0.25x
16 = x
For this case we have the following expression:

Applying distributive property to the terms within parentheses we have:

We add similar terms on both sides of equality considering that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

We add 7.5x to both sides of equality:

We subtract 72 from both sides of equality:

We divide between 3 on both sides of equality

ANswer:
Distributive property
Add similar terms
Equality property of the sum
Equality subtraction property
Equality property of the division
Answer:
59 degrees
Step-by-step explanation:
In the figure below, XZ is a diameter of circle A.
Since the Angles (5w+4) and (11w) forms a straight line, then:

Therefore, the arc measure of YZ will be:

Answer:
the diameter, d, must be 6
Step-by-step explanation:
Formula for circumference of a circle with diameter d is C = πd.
If C = 6π = πd, then the diameter, d, must be 6.
Answer: A giraffe can run 26.5mph
Step-by-step explanation:
12 times 60 (seconds) times 60 (minutes) = 43200. This is the total number of meters traveled in an hour. You would divide this by 1609 to get the total number of miles per hour.