Answer:
see explanation
Step-by-step explanation:
(6)
We can obtain a linear equation for the values given in the form
y = mx + b (m is the slope and b the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 5, - 13) and (x₂, y₂ ) = (- 1, 3) ← ordered pairs from table
m = [tex]\frac{3+13}{-1 + 5}[/tex] = [tex]\frac{16}{4}[/tex] = 4
From the point (0, 7) ⇒ b = 7
y = 4x + 7 ← is the equation
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(7)
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
m + m + 78 = 180
2m + 78 = 180 ( subtract 78 from both sides )
2m = 102 ( divide both sides by 2 )
m = 51
