Step-by-step explanation:
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Answer:
The measure of x is 
Step-by-step explanation:
we know that
The formula to calculate the sum of the internal angles of a polygon is equal to

where
n is the number of sides
In this problem we have

substitute

Find the measure of each internal angle
Divide the sum of the internal angles by the number of sides

The value of x is half the measure of internal angle
so

Answer:
one property of log is that if the log expressions have the same base (in this case, 2), then you can multiply the added logs.
The answer would then be D
Answer:
B
Step-by-step explanation:
"Is the same as" means an = sign, necessary for an equation!
Answer:
x = 24 , y = 19
Step-by-step explanation:
(2x + 13) and 47 + 3x are same- side interior angles and sum to 180° , so
2x + 13 + 47 + 3x = 180 , that is
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
Then 3x = 3 × 24 = 72
5y - 23 and 3x are corresponding angles and are congruent , then
5y - 23 = 72 ( add 23 to both sides )
5y = 95 ( divide both sides by 5 )
y = 19