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vagabundo [1.1K]
3 years ago
10

I need help asap pls

Mathematics
1 answer:
meriva3 years ago
8 0

Answer:

\displaystyle 36° = m∠NQS

Step-by-step explanation:

Apply the Midsegment Theorem:

\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°

I am joyous to assist you at any time.

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Cross multiply.

75 / x = 25 / 35
   25x = 35(75)
   25x = 2625
   /25     /25
       x = 105

Therefore 105 students liked skating.

Proof:

105 + 35 = 140.
140 * 0.75 = 105
140 * 0.25 = 35

140 (total) split into quarters.

35 + 35 + 35 + 35 = 140
35 + 35 + 35 = 105 (3 quarters liked)
35 = 35 (1 quarter disliked)
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