A) The two angles are supplementary and form a linear pair. This means that their combined measure is 180 degrees.
B) 2x + 68 = 180
C) subtract 68 from both sides. 2x = 112. Divide both sides by 2. x = 56.
If we plug 56 back into the equation 2x, we get 112. The if we add 112+68 we get 180, which means that the two are a linear pair.
Answer:
y = -5(x) - 4
Step-by-step explanation:
Use the equation of a line and substitution.
Information given:
point 1: (-2,6)
x1 = -2 and y1 = 6
point 2: (0,4)
x2 = 0 and y2 = 4
Equation of a line: <em>y = m(x) + b</em>
<em>m = </em>slope
To find slope, you do the equation of a linear slope, which is:
<em>m = </em> <em>in other words </em><em>m = </em><em />
plug in your values
= -5
Great, we've found slope, now to find <em>b</em>
plug in the slope you found: y = -5(x) + b
Plug in and solve for each point given, aka (x,y) into the linear equation for both points.
FIRST POINT:
6 = -5(-2) + b
6 = 10 + b
6 - 10 = b
b = -4
SECOND POINT:
-4 = -5(0) + b
-4 = 0 + b
-4 - 0 = b
b = -4
We got -4 for both, meaning that this equation is correct, so if you add in b, your final equation will be <em>y = -5(x) - 4.</em>
Plug this into desmos.com/calculator, and you'll see this linear equation runs through both points given in the problem.
Because of the vertical angles theorem, BAC becomes 50°. And angle B is 180-(50+30)=100.
If all 3 triangles are similar, the angles of triangle EFG are 30°, 50°, 100°
The one in the top right, because that triangle has an angle that is 60 degrees but is clearly not an equilateral triangle.
I’m not sure but good luck