Answer:
Part 1) see the procedure
Part 2)
Part 3) The angles are not congruent. The measure of angle PNQ is half the measure of angle POQ
Step-by-step explanation:
Part 1) Describe the relationship between angle POQ and arc PQ
we know that
<u><em>Central angl</em></u>e is the angle that has its vertex in the center of the circumference and the sides are radii of it
we have that
----> by central angle
Part 2) Describe the relationship between angle PNQ and arc PQ
we know that
The <u><em>inscribed angle</em></u> is half that of the arc it comprises.
In this problem, the angle PNQ is an inscribed angle
so
Part 3) Are the angle POQ and PNQ congruent?
The angles are not congruent, because
substitute
therefore
The measure of angle PNQ is half the measure of angle POQ
Your total profit is $13,000. First you bought the 200 items for $20 each. That costs $4,000. Then you sold $50 of the items at $100 each. That’s $5,000. So already you’re in the green. You’ve already made $1,000 profit. Then you sold the rest of the items at a 20% discount. 150 items multiplied by $80 is $12,000. $12,000 plus the $1,000 equals $13,000 total.
Two negatives combined equals a positive, or an addition sign in this case. so t-(-5) is equal to t+5=10. t is equal to 5