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Orlov [11]
2 years ago
5

What is the value of x?

Mathematics
2 answers:
Mama L [17]2 years ago
5 0

Answer:

  • x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

  • 72/9 = 56/(3x - 20)
  • 8 = 56/(3x - 20)
  • 3x - 20 = 56/8
  • 3x - 20 = 7
  • 3x = 27
  • x = 9
AlekseyPX2 years ago
4 0

Answer:

x = 9 cm

create proportional equation:

\sf \dfrac{9}{3x-20}  = \dfrac{72+9}{3x-20+56}

\sf \dfrac{9}{3x-20}  = \dfrac{81}{3x+36}

\sf 9(3x+36) = 81(3x-20)

\sf 27x+324 = 243x-1620

\sf 27x-243x=-1620-324

\sf  -216x=-1944

\sf x = 9

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How do I solve this?
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3 years ago
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
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vitfil [10]
I hope this helps you

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