An Image point after a 180° rotation Is Z(3, 7). What were the coordinates of the pre-Image point?
1 answer:
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Answer:
The polygon has 9 sides
Step-by-step explanation:
we know that
A regular polygon has equal length sides and equal interior angles
step 1
Find the measure of the interior angle
Remember that
The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)
Let
x ----> the measure of each interior angle in the regular polygon
so
solve for x
step 2
Find the number of sides of the regular polygon
we know that
The measure of each interior angle in a regular polygon is given by the formula
where
n is the number of sides of the polygon
substitute the given values
solve for n
therefore
The polygon has 9 sides
♡ The Question ♡
・1/7 = 90/91 + B
Solve for B!
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* ♡ The Answer ♡
・B = -11/13
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♡ The Explanation/Step-By-Step ♡
・1/7 = 90/91 + B
Switch sides!
90/91 + B = 1/7
Subtract 90/91 from both sides!
90/91 + B - 90/91 = 1/7 - 90/91
Simplify!
90/91 + B - 90/91 : B
90/91 + B - 90/91
90/91 - 90/91 = 0
= B
Simplify!
1/7 - 90/91 : -11/13
1/7 - 90/91
= 13/91 - 90/91
Combine the fractions!
= 13 - 90 over 91
Subtract the numbers! : 13 - 90 = -77
= -77/91
Apply the fraction rule! : -a/b = -a/b
= -77/91
Cancel the common factor! : 7
= -11/13
B = -11/13
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*♡ Tips ♡
・No tips provided!
