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soldi70 [24.7K]
2 years ago
6

Helpp besties helpppp

Mathematics
1 answer:
pentagon [3]2 years ago
7 0

Answer:

Im 98,574758% sure its 32.

(3/4)x24=32

dilation = expansion

Step-by-step explanation:

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Answer:

m∠P = 82°

m∠Q = 49°

m∠R = 49°

Step-by-step explanation:

<em>In the isosceles triangle, the base angles are equal in measures</em>

In Δ PQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ ∠Q and ∠R are the base angles

→ By using the fact above

∴ m∠Q = m∠R

∵ m∠Q = (3x + 25)°

∵ m∠R = (2x + 33)°

→ Equate them

∴ 3x + 25 = 2x + 33

→ Subtract 2x from both sides

∵ 3x - 2x + 25 = 2x - 2x + 33

∴ x + 25 = 33

→ Subtract 25 from both sides

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∴ m∠Q = 49°

∵ m∠R = 2(8) + 33 = 16 + 33

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∴ m∠P + m∠Q + m∠R = 180°

→ Substitute the measures of angles Q and R

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