Based on the indices of the regular polygons, the number of sides that X has is 8. See the computation below.
<h3>What is the analysis for the above solution?</h3>
Assuming that X has G number of sides; and
Y has H number of sides, this means that:
G-H = 3 ...........1
Recall that the formula for the exterior angles is:
360/n; where n is number of sides
X = 360/G
Y = 360/H
(360/G) + (360/H) = 117°.......2
Solving 1 and 2 simultaneously, we obtain:
G= 8 and
H = 5
Thus, X has 8 sides.
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Answer:
Number of Unlimited passes sold were 168.
Step-by-step explanation:
Let Number of Unlimited passes sold be x
and Number of entrance-only passes sold be y.
Total number of passes sold =282
Hence,

Also
Cost for unlimited-ride pass = $50
Cost for entrance-only pass = $20
Total Money for one day = $10,680
Hence,

Dividing by 10 on both side we get;

Now multiplying equation 1 by 2 we get;

Now Subtracting equation 3 from equation 2 we get;

x= 168
x+y = 282
168+y =282
y=282-168
y= 114
Hence, Number of Unlimited passes sold are 168 and Number of entrance-only pass sold is 114.
Answer:
The solution B for the value of x is incorrect.
Step-by-step explanation:
See the given diagram with the question attached.
From the diagram, it is clear that two parallel lines and a transverse line form two alternate angles (4x - 2)° and (3x + 6)° which are equal.
So, (4x - 2) = (3x + 6)
⇒ 4x - 3x = 6 + 2
⇒ x = 8
Therefore, the solution B for the value of x is incorrect. (Answer)