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8090 [49]
3 years ago
10

P, Q, and R are three different points. PQ = 3x + 2, QR = x, RP = x + 2, and . List the angles of PQR in order from largest to

smallest and justify your response.
Mathematics
1 answer:
horsena [70]3 years ago
4 0
<span>PQR is a triangle
QR = x  </span>⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side

<span>In the triangle, the largest angle lies opposite the largest side.
</span>The angles of Δ<span>PQR in order from largest to smallest:
</span>∠R is largest    [opposite to PQ]
∠Q is middle    [opposite to RP]
∠P is smallest   [opposite to QR] 
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Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (a^2 + b^2 = c^2), where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that (a) represents the unknown leg (side).

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Inverse operations,

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The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?
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And we know that the ratio between the sides is 5/6:

x/y = 5/6. x is on top because the length is bigger than the width

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Plug this in the first expression:

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