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So first, I determined the angles that I am 10 percent sure of, in this case, I know that the square's angles are all 90 degrees. And since the two triangles are equilateral, we know that their angles are 60 degrees. And at point M, all the points in each triangle connect to create a circle. A circle is 360 degrees. So we can do this: 360-60-60-90=150. So we know that the obtuse angles are 150 degrees. And since triangles JMP and MLQ are equilateral, triangle PMQ is isosceles. Two angles in isosceles triangles are equal, since the known angle in the triangle is obtuse, it is not one of the two angles. I know that all the angles in triangles add up to 180 degrees, so we can do this: 180-150=30 30/2=15. So the final degree for MPQ is 15.
Grade 8 POTW:
ReplyDelete(nice pun btw c:)
spoiler alert: I DID ALL MY WORK ON PAPER, WHICH I WILL BE MORE THAN HAPPY TO EXPLAIN AND GIVE TO YOU (MR MILETTE) IF YOU WANT IT.
reasoning: I HAD TOO MANY SYMBOLS THAT WOULD BE HARD TO EXPLAIN ONLINE.
final answer because i have to: MON FINAL ANSWER EST y = -17/6x
(sorry the final answer is really hard to understand, and i made a small mistake)
DeleteREAL final answer = (17/6)x
Grade 7 POTW:
ReplyDeleteSo first, I determined the angles that I am 10 percent sure of, in this case, I know that the square's angles are all 90 degrees. And since the two triangles are equilateral, we know that their angles are 60 degrees. And at point M, all the points in each triangle connect to create a circle. A circle is 360 degrees. So we can do this:
360-60-60-90=150.
So we know that the obtuse angles are 150 degrees.
And since triangles JMP and MLQ are equilateral, triangle PMQ is isosceles. Two angles in isosceles triangles are equal, since the known angle in the triangle is obtuse, it is not one of the two angles. I know that all the angles in triangles add up to 180 degrees, so we can do this:
180-150=30
30/2=15.
So the final degree for MPQ is 15.
POTW:
ReplyDeleteThis POTW was done on paper, answer, 15 degrees.