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irina [24]
3 years ago
14

I NEED HELP FAST! Find the measure of the missing angles.

Mathematics
1 answer:
loris [4]3 years ago
7 0

Angle G = 130 degrees

Angle H = 50 degrees

Angle K = 74 degrees

Angle M = 106 degrees

<u>Angle G would be 130 degrees</u> because it's a vertical angle, and vertical angles are always alike.

<u>Angle H would be 50 degrees</u> because it's an adjacent angle, and we also know that one side of the line is always 180 degrees so we have an equation that looks like this 180 - 130 = 50 degrees

<u>Angle K would be 74 degrees</u> because it's a vertical angle.

<u>Angle M would be 106 degrees</u> because it's an adjacent angle.

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Answer:

y = (-3/4)x + 7/4

Step-by-step explanation:

<em>Step 1: Define general form of equation of line</em>

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

<em>Step 2: Set up the system to solve for parameters of equation of line </em>

<em>(solve for M and b)</em>

That equation passes 2 points, which are represented in form of (x, y), (5, -2) and (-3, 4).

Substitute these values of x and y into the original equation in step 1:

-2 = 5M + b

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<em>Step 3: Solve the system of equations in step 2 for M and b</em>

Subtract 1st equation from 2nd equation:

     6 = -8M

=> M = -6/8 = -3/4

Substitute M back into 1st equation:

=> -2 = 5*(-3/4) + b

=>  b = -2 + 15/4

=>  b = 7/4

=>  The equation of the line that passes through (5, -2) and (-3, 4):

      y = (-3/4)x + 7/4

Hope this helps!

:)

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