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Juliette [100K]

3 years ago

12

Need help with this question asap!!

1 answer:

bija089 [108]3 years ago

4 0

Hello!

Our two angles are corresponding. Therefore they are congruent. This gives us the equation below.

3x+2=5x-10

We subtract 5x from both sides.

-2x+2= -10

We subtract 2 from both sides.

-2x=-12

We divide both sides by -2.

x=6

Therefore, our answer is A) 6.

I hope this helps!

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et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe

Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation $f(x)=x+\lvert 2x-3 \rvert=12$ can be solved as follows:

$x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}$

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Now, if $g(x)=5x-3+\lvert x+4\rvert$ , we can solve the equation $g(a)=4a+9$ as follows:

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$h(x-1)=x-3$

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$\lvert x-1 \rvert -2x+2+5=x-3$

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$x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)$

$-2x=-9\,\,\text{or}\,\,4x=11$

$x=9/2\,\,\text{or}\,\,x=11/4$

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

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