Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
<h3>What is a Regular Polygon?</h3>A regular polygon is any n-sided polygon that has equal interior angles and equal sides.
Thus:
Therefore:
x = 360 - 120 - 108
x = 132°
Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
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The image of the right rectangular prism is missing, so i have attached it.
Answer:
volume of the right rectangular prism = 625 in³
Step-by-step explanation:
The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.
Formula for volume of one cube is;
V = a³
where
a is the length of one side of the cube
We are told that this length is 2½ inches
Thus;
a = 2½ = 5/2 inches
>> V = (5/2)³
>> V = 125/8 in³
Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes
Therefore, the volume of the prism is;
Volume of one cube × 40
>> volume of the prism = (125/8) × 40
volume of the prism = 625 in³
