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3 years ago

Given CS=2x+1, SB=6x, CR=7.5, and RA=18. What must the value of x be in order to prove SR || BA? Justify your answer

Mathematics

1 answer:

Anna [14]3 years ago

5 0

The picture in the attached figure

we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA. CS / CB = CR / CA
which can also be written as,
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25

the answer is
x=3.25

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Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 250, so we can write it down as 100%=250.

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.

5. Now we have two simple equations:

1) 100%=250

2) x%=100

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:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

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(100/x)*x=(250/100)*x - we multiply both sides of the equation by x

100=2.5*x - we divide both sides of the equation by (2.5) to get x

100/2.5=x

40=x

x=40

now we have:

100 is 40% of 250

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Answer:

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Step-by-step explanation:

-1/3>-1/2

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