You are arranging a meeting for 56 people. You want 8 people at each table. How many tables do you need?
2 answers:
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The complete question: <span>Megan bikes 6 miles west to get from her apartment to school. After school, she bikes 8 miles north to her friend's house. How far is Megan's apartment from her friend's house, measured in a straight line?
So,Megan's apartment, the school, and Megan's friend's house form a right triangle with legs 6 miles and 8 miles as you can see in the attached picture; the hypotenuse of the right triangle is the straight distance is from Megan's apartment to her friend's house. To find that distance we are going to use the Pythagorean theorem:
</span>
<span>
We can conclude that distance between Megan's apartment and her friend's house is 10 miles.</span>
So,Megan's apartment, the school, and Megan's friend's house form a right triangle with legs 6 miles and 8 miles as you can see in the attached picture; the hypotenuse of the right triangle is the straight distance is from Megan's apartment to her friend's house. To find that distance we are going to use the Pythagorean theorem:
</span>
<span>
We can conclude that distance between Megan's apartment and her friend's house is 10 miles.</span>
Please consider the complete question.
Let x represent measure of arc NL.
We have been given that measure of arc NPL is twice the measure of arc NL. So measure of arc NPL would be .
We know that measure of all arcs in a circle is equal to 360 degrees, so we can set an equation as:
Upon substituting measure of both arcs, we will get:
The measure of arc NPL would be .
We can see that angle NML is inscribed angle of arc NPL. We know that measure of an inscribed angle is half the measure of intercepted arc.
Therefore, the measure of angle NML is 120 degrees and 3rd option is the correct choice.
