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Pavlova-9 [17]
3 years ago
11

Find the value of x please help me​

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

x = 25

Step-by-step explanation:

Sun of the exterior angles of a quadrilateral = 360°

Therefore:

x + 40 + 6x + 2x + 20 + 3x = 360

Add like terms

x + 6x + 2x + 3x + 40 + 20 = 360

12x + 60 = 360

12x = 360 - 60

12x = 300

x = 300/12

x = 25

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<h3>Answer: M = 1/2</h3>

=====================================================

Work Shown:

Solve the second equation for y to get the following

4y+x = -9

4y = -x-9

y = (-x-9)/4

y = (-x)/4-9/4

y = (-1/4)x-9/4

The equation is in y = mx+b form where m = -1/4 is the slope of this line. Note: this is not the same as the uppercase M we're after; the lowercase m is conventionally used as the general slope term.

---------

The slope of the second line is -1/4. Flip the fraction to get -4/1 = -4, then flip the sign to go from -4 to +4 or just 4.

This means the slope of the first line must be 4 in order for the two lines to be perpendicular. The two perpenicular slopes multiply to -1. We see that (-1/4)*(4) = -1.

---------

Let's solve the first equation for y

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My = 2x+5

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which is our final answer

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