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Slav-nsk [51]
3 years ago
15

How do I solve for x? 10x+6=8-2(x+6)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

1. 10x+6=8-2(x+6)

2. 10x+6=6(x+6)

(distribute the 6)

3. 10x+6=6x+36

(Move the 6x to the other side by subtracting)

4. 4x+6=36

(Move the 6 to the other side by subtracting)

5. 4x=30

(divide)

x=7.5


Hope this helped! :)

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Step-by-step explanation:

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\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

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\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

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\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

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