No, it does not always have to be a decimal although it is more common to have one.
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Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
Step-by-step explanation:
-6z = 72
z = 72/(-6)
= -12
4) -12
