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RSB [31]
2 years ago
9

The ages of three siblings Jason John and Jackson totals 21 years. Jason is one year older than John. Jackson is three times as

old as John. How old is John?
Mathematics
1 answer:
Ymorist [56]2 years ago
6 0

Answer:Jason is 5 years old.

John is 4 years old.

Jackson is 12 years old.

Step-by-step explanation:

Let x represent the age of Jason.

Let y represent the age of John.

Let z represent the age of Jackson.

The ages of three siblings Jason John and Jackson totals 21 years. It means that

x + y + z = 21 - - - - - - - - - - -1

Jason is one year older than John. It means that

x = y + 1

Jackson is three times as old as John. It means that

z = 3y

Substituting x = y + 1 and z = 3y into equation 1, it becomes

y + 1 + y + 3y = 21

5y = 21 - 1 = 20

y = 20/5 = 4

x = y + 1 = 4 + 1

x = 5

z = 3y = 3 × 4

z = 12

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Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY (m_{1}) = \frac{y-y'}{x-x'}

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Answer:

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Step-by-step explanation:

Since < A and < B are vertical angles, then it means that they have the same measure.

Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:

We can set up the following equation to solve for the value of x:

m < A  = m < B

(3x - 21)° = (2x - 13)°

3x - 21 = 2x - 13

Subtract 2x from both sides:

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Add 21 to both sides to isolate and solve for the value of x:

x - 21 + 21 = -13 + 21

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We must verify if we have the correct value for x by plugging in 8 into the equality statement:

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Therefore, the value of x = 8.

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