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Marina86 [1]
2 years ago
8

Can someone please help me figure out how to solve for x?​

Mathematics
1 answer:
Anna007 [38]2 years ago
8 0

Answer:

x=30

Step-by-step explanation:

Both triangles in this figure are similar. Therefore, we can set up the following proportion:

\frac{21}{x}=\frac{14}{20}.

Cross-multiply to solve:

14x=21\cdot 20,\\x=\frac{21\cdot20}{14},\\x=\fbox{$30$}.

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<u>Step-by-step explanation:</u>

1)         First       and        Second         and         Third

  \dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}

2)         First       and          Second

   \dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}

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3 years ago
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Step-by-step explanation:

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X + (x + 11) =79 solve x
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Answer:

x=34

Step-by-step explanation:

x + (x + 11) =79

Combine like terms

2x+11 = 79

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2x+11-11 = 79-11

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Answer:

Option C is the correct answer.

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Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

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The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

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