1/2 of angle D is given as 32 degrees.
The 3 inside angles need to add up to 180 degrees.
Angle B is a right angle, which is 90.
Angle C = 180 - 90 - 32 = 58 degrees.
The correct option is B. Distributive property
Given,
On solving the above equation,
multiplying both sides by 3 we, get

now subtracting 21 from both the sides,

dividing both the sides by 2 we get,

Since in the above steps we follow all the giving property except the distributive property.
Hence the correct option is B. Distributive property.
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Answer:
The slope is 
The y-intercept is 9
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵ 
∴ m = 
∴ The slope is 
→ Substitute its value in the form of the equation above
∴ y =
x + b
→ To find b substitute x and y by x1 and y1
∴ 12 =
(2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
Answer:
angle 2 = 90° {corresponding angles}
angle 7 + angle 5 = 180° {linear pair}
or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}
so, angle 7 = 80°
Answer:
y=2x−7
Step-by-step explanation:
so
formula is (
y
1
−
y
=
m
(
x
1
−
x))
m is the slope
-1-y=2(3-x)
add 1 to both sides
−y−1+1=−2x+6+1
−y=−2x+7
divide both sides by -1
y=2x−7
Hope this helps
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