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Darya [45]
2 years ago
7

Find the value of x that will allow you to prove that CD below is parallel to EF if the measure of 21 is

Mathematics
1 answer:
irina1246 [14]2 years ago
8 0

Answer:

23

Step-by-step explanation:

According to the diagram, two sum of <1 and <2 is 180 degrees

Hence 3x+30+81 = 180

3x+111 = 180

3x =180-111

3x = 69

x = 69/3

x = 23

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Two equivalent equations of the line in point slope form for (-4,8) and (0,5)
34kurt

Answer:

Equation of line 1  is 3 X - 4 Y = 20

Equation of line 2 is 3 X  + 4 Y = 20

Step-by-step explanation:

Given co ordinates of points as,

( -4 , 8)  and (0 , 5)

From the given two points we can determine the slop of a line

I. e slop (m) = \frac{(y2 - y1)}{(x2 - x1)}

Or,           m  = \frac{(5 - 8)}{(0 + 4)}

So,           m = \frac{(-3)}{(4)}

Now equations of line can be written as ,

Y - y1 = m ( X - x1)

<u>At points ( -4 , 8)</u>

Y - 8   = \frac{(-3)}{(4)} (X + 4)

So , Equation of line 1  is 3 X - 4 Y = 20

<u>Again with points ( 0 , 5)</u>

Y - 5   = \frac{(-3)}{(4)} ( X - 0)

So, Equation of line 2 is 3 X  + 4 Y = 20

Hence Equation of line 1  is 3 X - 4 Y = 20  and Equation of line 2 is 3 X  + 4 Y = 20   Answer

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Step-by-step explanation:

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