Given m | n, find the value of x. m n 68 (6x+8)

Mathematics

2 answers:

BARSIC [14]2 years ago

4 0

Answer:

As 6x+8 = 68

=> x = 10

Hope it helps

insens350 [35]2 years ago

4 0

By question it's given that m || n . So here we can use the properties of parallel lines . One of them which we will use here is ,

corresponding angles are equal .

Here the two given angles are corresponding angles hence they will be equal. We create them in order to find the value of x.

$\sf\implies 68^o = 6x + 8^o \\\\\\\sf\implies6x = 68^o - 8^o\\\\\sf\implies 6x = 60^o \\\\\\\sf\implies x = 60^o/6 \\\\\\\sf\implies \boxed{\red{ \sf x = 10^o }}$

Hence the value of x is 10° .

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First, let's find the slope of the line using the slope formula, which is:

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$m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1$

Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is $(y - y_1) = m(x - x_1)$ where ( $x_1$ , $y_1$ ) is a point on the line)