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HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE

2 Answers

4 votes

Answer:

x=24

Explanation:

HE= 1/3(HG)

x-3=1/3(4x-15)

3x-9=4x-15

-x=-24

x=24

User Peter Knut
by
6.7k points
5 votes

Answer:

HE=3

Explanation:

Equations

With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.

Data:

HE=1/3 HG

HE=x-3

HG=4x-15

Replacing the last two equations in the first:

x-3=1/3(4x-15)

Multiply both sides by 3:

3(x-3)=4x-15

Operate:

3x-9=4x-15

Moving x's to the left and numbers to the right:

3x-4x=-15+9

Joining like terms:

-x=-6

Multiply by -1:

x=6

Since HE= x-3:

HE=6-3

HE=3

User Jared Shaver
by
6.6k points
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