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LUCKY_DIMON [66]
2 years ago
6

The sum of two numbers is 24 and their quotient is 3. What are the two numbers?

Mathematics
1 answer:
Xelga [282]2 years ago
6 0
18 and 6
18 + 6 = 24
18/6 = 3
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In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
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I found your complete question in another source.
 See attached image. 
 For this case what you should see is that you have two similar triangles.
 We then have the following relationship:
 ((AB) / (BX)) = ((CD) / (DX))
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How many triangles exist with the given angle measures?
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Step-by-step explanation:

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weeeeeb [17]

1. 4x + 2y = 11

x - 2 = -2y


First I would isolate one of the variables (x or y) of one of the equations, and then substitute it into the other equation.

The easiest to isolate is the "x" in the second equation

x - 2 = -2y  Add 2 on both sides

x = -2y + 2

Substitute this into the first equation


4x + 2y = 11

4(-2y + 2) + 2y = 11   Multiply 4 into (-2y + 2)

-8y + 8 + 2y = 11  Combine like terms

-6y + 8 = 11  Subtract 8 on both sides

-6y = 3   Divide -6 on both sides

y = -3/6  Simplify

y = -1/2


Now that you know "y", you can plug it into either of the original equations to find "x"

x - 2 = -2y

x - 2 = -2(-1/2)

x - 2 = 1    Add 2 on both sides

x = 3


Answer is A


2. y = 3x + 5

4x - y = 5

Substitute the first equation into the second equation

4x - y = 5

4x - (3x + 5) = 5   Multiply/distribute the - into (3x + 5)

4x - 3x - 5 = 5  Combine like terms

x - 5 = 5  Add 5 on both sides

x = 10


Plug in "x" into either of the original equations to find "y"

y = 3x + 5

y = 3(10) + 5

y = 30 + 5

y = 35


Answer is A

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3 years ago
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