Answer:
x=10
Step-by-step explanation:
Since the two given expressions are alternate interior angles ( as a result of the parallel line, which are indicated by the arrows on the two lines going through the middle line, the transversal) you can set them equal to each other.
5x-10 = 3x+10
add 10 on both sides
5x = 3x + 20
subtract 3x on both sides
2x=20
divide by 2 on both sides
x=10
A function assigns the values. The correct option is C, x=-6.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
A.) When the value of x is -12,
f(-12) = 2/3(-12) + 7 = -1
g(-12) = 2(-12) + 15 = -9
B.) When the value of x is -9,
f(-9) = 2/3(-9) + 7 = 1
g(-9) = 2(-9) + 15 = -3
C.) When the value of x is -6,
f(-6) = 2/3(-6) + 7 = 3
g(-6) = 2(-6) + 15 = 3
D.) When the value of x is -3,
f(-9) = 2/3(-3) + 7 = 5
g(-9) = 2(-2) + 15 = 11
Hence, the correct option is C, x=-6.
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An absolute value inequality that models this situation: 
The required compound inequality representing all possible weights for Mr. Bean.: 
<u>Given:</u> For the last 20 years,
Mr. Bean has weighed 120 pounds, give or take 4 pounds.
<u>To write</u>: a) An absolute value inequality that models this situation.
b) a compound inequality representing all possible weights for Mr. Bean.
<u>Computation:</u>
Let <em>x</em> be the actual weight of Mr. Bean,
then
Required absolute inequality:
It can be written as

Add 120 on all sides , we get


The required compound inequality representing all possible weights for Mr. Bean.: 
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Answer:
52m
Step-by-step explanation:
Seperate each place into its own section
Multiply each section
Add the product you get from each section