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Setler79 [48]
3 years ago
8

A conjecture and the flowchart proof used to prove the conjecture are shown.

Mathematics
2 answers:
dexar [7]3 years ago
8 0
Okay. An obtuse triangle is any triangle that has 1 angle that measures more than 90°. As we can see, angle QRS measures 76° and angle PRQ measures 104°. 104 > 90. Triangle PQR is a closed figure, and a triangle measures 180° total. There can only be 1 obtuse angle in any triangle. PRQ is an obtuse angle. Therefore, triangle PQR is an obtuse triangle.

Vsevolod [243]3 years ago
7 0

Answer:-

Given: m∠QRS=76°

Prove: △PQR is an obtuse triangle.

Proof:- ∠ORS=76° [given]

∠PRQ and ∠QRS are supplementary . [Linear pair postulate.]

m∠PRQ+76°=180° [Substitution property of equality]

m∠PRQ=104°  [Subtraction property of equality]

∠PRQ is an obtuse angle [Definition of obtuse angle]

ΔPQR is an obtuse triangle.[Definition of obtuse triangle]


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Tanya's rotation maps point K(24, –15) to K'(–15, –24). Which describes the rotation? 90 degrees clockwise rotation 270 degrees
alexira [117]

Answer:

A. 90 degrees clockwise rotation

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7 0
3 years ago
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In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.
Dmitrij [34]

Answer:

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Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

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HJ is the third side which is the adjacent

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