Through a given point not on a line, there exists exactly one _____ to the given line

Mathematics

1 answer:

Zolol [24]3 years ago

3 0

Answer: Line parallel

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2

Korolek [52]

Hey there!

In order to find out the answer to this question, we can distribute

$-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197$

Flip your problem around!

$2x - 194 = -30$

Add by $194$ on each of your sides

Like: $2x - 194 + 194 \\ \\ \\ -30 + 194$

Cancel out: $-194 + 194$ because they would give you the outcome of $0$

Keep: $-30 + 194 [/tex] because that'll give you: [tex]164$

Your problem becomes: $2x = 164$

Now, we have to divide by $2$ on each of the sides

Like: $\frac{2x}{2} = \frac{164}{2}$

Cancel: $\frac{2x}{2}$ because it will give you a outcome of $1$

Keep: $\frac{164}{2}$ because this will give you your answer

$Answer: x = 82$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$