Answer:
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Step-by-step explanation:
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
Slope intercept form is y = mx+ b
So in order to turn 5y-3x + 20 = 0 into Slope intercept form, all we need to do is solve for y!
Let's do it!
- add 3x to the right side of the equation
<u>5y - 3x + 20 = 0</u>
<u>5y + 20 = 3x </u>
- move 20 to the right side
<u>5y = 3x - 20 </u>
- Divide both sides of the equation by 5
y = 3/5x - 4
This is our answer!
I hope I helped! Leave a comment if you have any questions or concerns
M=0 The slope is zero
Hope this helps
