How does the measure of the pink inscribed angle compare with the measure of the blue intercepted arc? How do you know?
1 answer:
Answer:
The pink angle is half the angle subtended by the blue arc.
Step-by-step explanation:
Given
See attachment for circle
Required
Compare the pink angle to the blue arc
Let the pink angle be x and the angle subtended by the blue arc be y.
So, we have:
angle at circumference
angle subtended by arc
The relationship between x and y is:
Make x the subject
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Answer:
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5