As tgose lines are parallel then,
a = 140° ( by alternate interior angles)
then,
tha angle just below "a" on the other paralle line would also be 140° by corresponding angles,
using exterior angle property of triangle
66° + b = 140°
b = 140° -66
= 74°
Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
Answer:
Step-by-step explanation:
1) elimination
2) elimination
3)add
4)subtract
5) Variable
6) add
7) eliminate
8) subtract
9) eliminate
10) adding
11) adding
12) 2
13)2
14) 0
15) (2 , 0)
16) (2 , 0)
17) solution
Area of a circle = πr²
Area of a circle = 3.14 x 11² = 379.94 in²
Area painted in blue = 379.94 ÷ 2 = 189.97 in²
Area painted in purple = 189.97 in²
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Answer: 189.97 in²
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Step-by-step explanation:
