Answer:
1.
a = 112
b = 68
c = 68
2.
a = 127
3.
a=35
b=40
c=35
d=70
4.
a= 30
b=70
c = 30
d=70
e = 130
I'll help you with the rest later
Step-by-step explanation:
a = 112 because of allied angles rule
b and c = 68 because of angles at a point
360-112-112 ÷2
2. a = 127 because of angles on a straight line rule.
180-38-15
3. d= 70, vertically opposite angle
using angles on a straight line, 180 - 70 - 40 ÷ 2
we now have the two angles and because they are vertically opposite a and c = 35
b = 40 because of vertically opposite angles
4. a=30 because 90-70
since a=30, take 90 - 30 to get b, 70
d= 70, vertically opposite angles
e = 130 because a+b+c, vertically opposite angles
Answer:
90 Degrees.
Step-by-step explanation:
90 Degrees will always form with perpendicularity.
Gradient of line= (y2-y1)/(x2-x1)
Gradient of line= (10-(-6))/(8-4)
Gradient of line= 16/4
Gradient of line= 4
Y-intercept
Y=4x+c
When x=8, y=10
10=32+c
c= -22
Equation of line
Y=4x-22
When x=b, y=2b
Y=4x-22
2b=4b-22
22=2b
b=11
The area of the region bounded by the parabola x = y² + 2 and the line y = x - 8 is; -125/6
<h3>How to find the integral boundary area?</h3>
We want to find the area of the region bounded by the parabola x = y² + 2 and the line y = x - 8.
Let us first try to found the two boundary points.
Put y² + 2 for x in the line equation to get;
y = y² + 2 - 8
y² - y - 6 = 0
From quadratic root calculator, we know that the roots are;
y = -2 and 3
Thus, the area will be the integral;
Area = ∫³₋₂ (y² - y - 6)
Integrating gives;
¹/₃y³ - ¹/₂y - 6y|³₋₂
Plugging in the integral boundary values and solving gives;
Area = -125/6
Read more about Integral Boundary Area at; brainly.com/question/23277151
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