60 * 3 = 180 and 90 * 2 = 180
if they are supplementary angles than they equal 180 together.
angle p is three times less than twice the measure of angle q so that means 180/3 = angle p and 180/2 = angle q.
Angle q is 90 and twice that is 180 and Angle p is 60 and three times that is 180
so 60 is three times less than twice the measure of 90.
60 three times is 180 and 90 twice is 180 which means 3p = 2q and you have 180 because they are supplementary angles so you have really 180/3 = p and 180/2 = q
The answer is p = 60 and q = 90

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2 years ago

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An electrical pole is 12.4m tall. It is supported by a guy wire that is 17.3 long. how far is the anchor of the guy wire to the

kari74 [83]

The anchor of the guy wire is 12.06 meters away form base of electrical pole.

Further explanation:

The whole given scenario forms a right angle triangle. The pole is standing straight so it is the perpendicular while the guy wire goes from the top of pole to the anchor so it will be the hypotenuse. We have to finds the base.

Pythagoras theorem will be used.

Pythagoras theorem states that:

$H^2=B^2+P^2$

Given

Base=?

Perpendicular=12.4 m

Hypotenuse = 17.3 m

Putting the values

$(17.3)^2=B^2+(12.4)^2\\299.29=B^2+153.76\\B^2=299.29-153.76\\B^2=145.53\\Takeing\ Square\ root\ on \both\ sides\\\sqrt{B^2}=\sqrt{145.53}\\B=12.06\ m$

The anchor of the guy wire is 12.06 meters away form base of electrical pole.

Keywords: Pythagoras theorem, Hypotenuse

Learn more about Pythagoras theorem at:

#LearnwithBrainly

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3 years ago