Answer: Clanssa’s team collects m magazines for the recycling drive. JoAnn’s team collects 3 times as many magazines as Clarissa’s team. JoAnn’s team collects a total of 654 magazines.
Answer:
2 3 4 7
Step-by-step explanation:
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<u>Given</u>:
Given that K is the center of the circle.
The measure of ∠NLQ is 44°
The measure of arc MP is 60°
We need to determine the measure of arc NQ
<u>Measure of arc NQ:</u>
Let us apply the property that, "if the measure of an angle formed by two secants drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs".
Thus, we have;
![\angle NLQ= \frac{\widehat{NQ} - \widehat{MP}}{2}](https://tex.z-dn.net/?f=%5Cangle%20NLQ%3D%20%5Cfrac%7B%5Cwidehat%7BNQ%7D%20-%20%5Cwidehat%7BMP%7D%7D%7B2%7D)
Substituting the values, we have;
![44^{\circ}=\frac{\widehat{NQ}-60^{\circ}}{2}](https://tex.z-dn.net/?f=44%5E%7B%5Ccirc%7D%3D%5Cfrac%7B%5Cwidehat%7BNQ%7D-60%5E%7B%5Ccirc%7D%7D%7B2%7D)
![88^{\circ}=\widehat{NQ}-60^{\circ}](https://tex.z-dn.net/?f=88%5E%7B%5Ccirc%7D%3D%5Cwidehat%7BNQ%7D-60%5E%7B%5Ccirc%7D)
Adding both sides by 60, we get;
![148^{\circ}=\widehat{NQ}](https://tex.z-dn.net/?f=148%5E%7B%5Ccirc%7D%3D%5Cwidehat%7BNQ%7D)
Thus, the measure of arc NQ is 148°