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Mathematics 8 Online
Roses:

help me please.

Roses:

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Roses:

@Vocaloid

Roses:

@JustSaiyan

Roses:

@Falconmaster

Falconmaster:

@Ultrilliam sorry I cant help

Roses:

it's fine

563blackghost:

What two angles are equal to each other?

Roses:

umm idk

Roses:

is it 3x-7 and 2x+7

563blackghost:

Well let's look at the triangle. We can assume that the lines (that have arrows) are parallel to each other, meaning that the diagonal line that meet the parallel lines creates 3 angles, two being equal. |dw:1509392421246:dw|

563blackghost:

Yes that is correct.

Roses:

okay

563blackghost:

So we would set it up as this... \(\bf\large{2x+7=3x-7}\) Can you simplify this?

Roses:

hold on

Roses:

5x=7?

563blackghost:

Not quite. |dw:1509392735824:dw|

Roses:

oh

563blackghost:

If you can't see it try disabling the halloween theme...

Roses:

so would it be 14x=11y

563blackghost:

Well let's not jump to answer just yet, since we found x now we can try and find y. We see that \(\bf{2x+7}\) and \(\bf{12y+1}\) lie on a straight line, meaning that they are a linear pair (equal to 180 degrees). So we can find y. We know \(\bf{x=14}\) so we plug this into \(\bf{2x+7}\). \(\bf\large{(2(14)+7)+(12y+1)=180}\) Simplify.

Roses:

i'm so stuck right now

563blackghost:

With what? How we got to this equation or the equation itself?

Roses:

the equation itself

563blackghost:

Ah. Well let's work out the first part. We follow by PEMDAS. So we first work with the paranthesis (we see we have two) so we work with the one with paranthesis inside being \(\bf{(2(14)+7)}\). |dw:1509393451334:dw| So we get \(\bf\large{35+12y+1=180}\) Now combine like terms. \(\large\bf{12y+36=180}\) Can you do from here?

Roses:

48y=180?

563blackghost:

You need to subtract 36 from both sides. \(\large\bf{12y=144}\) Now divide by 12 from both sides. \(\large\bf{y=\frac{144}{12}}\)

Roses:

so it is 12y

Roses:

so the answer is c

Roses:

is that the correct answer?

563blackghost:

Yea it is C.

Roses:

thank you

563blackghost:

np :) though when saying a variable is equal to a number don't put it as \(\bf{12y}\) but as \(\bf{12=y}\), cause that will get your answer wrong.

Roses:

oh okay thank you

563blackghost:

you welcome :)

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