Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.
Method.
The exterior angles of a regular figure add up to 360°.
Step One
Find out the size of the exterior angles of a regular pentagon.
There are 5 such angles. They add up to 360°
5x = 360 Divide by 5
x = 360 / 5
x = 72°
Step Two
Find out the value of the interior angles of a pentagon.
Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180° Subtract 72 from both sides.
Interior Angle = 180° - 72°
Interior Angle = 108°
Step Three
Solve for y.
There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°
y + 3*interior angles = 360°
y + 3*108 = 360
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°
♡ The Question ♡
-Answer --> 3/4^3
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♡ The Answer ♡
Fraction --> 27/64
Decimal --> 0.421875
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♡ The Explanation/Step-By-Step ♡
(3/4)^3
Apply Exponent Rule! --> (a/b)^c = a^c/b^c
(3/4)^3 = 3^3/4^3
3^3 = 27
= 27/4^3
4^3 = 64
= 27/64
27/64 = 0.421875
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♡ Tips ♡
-No tips provided!
Answer:
a:-2
Step-by-step explanation:
