m<M + m<N = 180°
11x + 6x - 7 = 180
11x + 6x = 180 + 7
17x = 187
x = 187 : 17 = 11
m<M = m<O = 11x = 11 · 11 = <span>121°
</span>m<N = m<L = 6x-7 = 6 · 11 -7 = 66 - 7 = <span>59°
</span><span>Check : 121° + 59° = 180° OK !
</span>
Answer:
a
Step-by-step explanation:
The answer is D 48 degrees
Answer:
Step-by-step explanation:
A circle is named by its center.
Name of the circle: Circle B
∠DCF = 90° {angle on a semicircle is right angle}
Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3
Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3
Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)
Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8
The equation is y = (1/3)x + 8