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Keith_Richards [23]
3 years ago
12

The population of a city is 2,500. If the number of males is 240 more than the number of females, how many males and females are

there in the city? I need the answer with the explanation for 22 points.
Mathematics
1 answer:
horsena [70]3 years ago
7 0
2500 - 240 = 2260      
2260/2= 1130 or female count        1130 + 240 =  1370 or male count\
1370 + 1130 = 2500
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Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

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m∠Q = 83°

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We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

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As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

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