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NISA [10]
3 years ago
14

Population of linton is 12 times as great as the population of Ellmore. The combined population of both towns is 9,646 people. W

hat is the population of Linton?
Mathematics
2 answers:
sergeinik [125]3 years ago
8 0
8904 and 704 are the answers so yea ya do what's good for u need any help congatact meh
sasho [114]3 years ago
7 0
Let "L" represent the population of Linton
and "E" represent the population of Ellmore

12 times E = L
because "Linton is 12 times as great as .. Ellmore"

then  E + L = 9646
because "the combined population is 9646"

since  L = 12*E
we can plug that into the other equation and get:
E + 12*E = 9646
13*E = 9646   [by adding like terms]
E = 742   [by divided both sides by 13]

so now we have E
we can plug that back into the 1st equation to get L
12*(742) = L
L = 8904

so Population of Linton = 8904
and the Population of Ellmore = 742
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Step-by-step explanation:

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Upon substituting our given values we will get,

45=KN   and   31=MN

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We have been given m\angle N=119^{o}, therefore m\angle L=119^{o}.

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m\angle N+m\angle M=180^{o}

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Upon substituting our given values we will get,

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Upon substituting our given values we will get,

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m\angle PQS=49^{o}

m\angle QRS=m\angle QPS Opposite angles of parallelogram.

m\angle PQR+m\angle QPS=180^{o}

106^{o}+m\angle QPS=180^{o}

m\angle QPS=180^{o}-106^{o}

m\angle QPS=74^{o}

Therefore, measure of angle QRS will 74 degrees.

m\angle PRS=m\angle QPR Alternate interior angles.

35^{o}=m\angle QPR

m\angle RPS=74^{o}-m\angle QPR

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Now let us find measure of angle PSQ.

m\angle PSQ=m\angle PQR-m\angle QSR

m\angle PSQ=106^{o}-49^{o}

m\angle PSQ=57^{o}

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