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Ilia_Sergeevich [38]
3 years ago
11

My brain just kind of exploded when reading this, please help!​

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

4.8 liters

Step-by-step explanation:

o=orange juice c=cranberry juice

Punch = 4/5o + 1/6c  it means that any quantity of punch will have the same proportion of the two ingredients

now, you know that 1 liter can be written as 6/6 liters, so to get those 6/6 you multiply 1/6 by 6

for the proportion to remain valid, you must multiply by 6 also the other ingredient so (4/5)*6 = 24/5 of a liter of orange juice per liter of cranberry juice and 24/5 = 4.8 liters

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Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that \dfrac{AD}{DB}=\dfrac{AE}{EB}

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

8 0
3 years ago
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Help me please #7!!!!!!
MatroZZZ [7]

Applying parallel line postulate twice

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So, the two equations are:

3x + 2y = 36

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12x + 2y = 126

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-(3x + 2y)= -(36)

-3x - 2y = -36

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Plug value of x back into to the equations to solve for y

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Optional

Plug x into the other equation to check for error

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120 + 2y =126

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