We know that
The exterior angle measures of a polygon must add up to 360°,
therefore
360°/72°=5 exterior angles
so
5 exterior angles, would mean 5 interior angles and therefore 5 sides to the polygon
The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.
exterior angle+interior angle=180°
interior angle=180°-exterior angle
interior angle=180°−72°-------> 108°
Each interior angle is 108°
The sum of the interior angles would be
5*108°=540°
the answer is
540°
Answer:
The expressions are equivalent
Step-by-step explanation:
5(2x+3)
Distribute the 5
5*2x + 5*3
10x +15
That is equal to 10x+15
The expressions are equivalent
<h2>
What we know</h2>
We know that Kate has 3/4 of a cake. She wants to cut the cake into 1/12 sized pieces.
<h2>What we need to know</h2>
We need to know how many slices of cake will she have?
<h2>Show your work</h2>
If Kate wants to cut 3/4 of her cake into 1/12 sized pieces, that would mean 1/4 of the whole cake is 12/12. If there are 3 of the 1/4 slices, then we would need to find out how much that is in twelfths by multiplying:
12 x 4 = 48
36/48 is equal to 3/4. If she is having 3/4, she is having 36 slices.
<h2>Check your work</h2>
To check our work we divide:
48 ÷ 12 = 4
<h2>Answer</h2>
Kate will have 36 slices of cake.
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<u>brainly.com/question/21087460</u>
