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Montano1993 [528]
3 years ago
13

Planet fitness charges a $100 registration fee plus $15 per month to be a member and use their gym. Anytime Fitness charges $40

registration fee plus $35 a month to use their gym. How many months would someone have to be a member at each in order for their costs to be the same?
Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

3

Step-by-step explanation:

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The triangles are similar
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Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

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Step-by-step explanation:

Part 1) we know that

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\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

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In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

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In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

2.5(x+3)=2x+10

2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

AE=2x+10=2*5+10=20\ units

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If two triangles are similar

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In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

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In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



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