Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
A scale factor of 3 was used
The screenshot below will give you the answer and the explanation
Hope I helped :)
Answer: y= -2x - 500
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.
We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.
-100 = -2(-100) + b where b is the y-intercept
-100 = 400 + b
-400 -400
b = -500
The y intercept is -500 and the slope is -2 therefore, the equation will be
y= -2x - 500
Answer:
Step-by-step explanation:
2x-3y=6
-3y = -2x + 6
y = -2x/-3 + 6/ -3
y = 2x/3 - 2 {y =mx + c}
slope = 2/3
The required line's slope is also 2/3 as it is parallel to this line
Point(9, -3)
y -y1 = m(x-x1)
y - (-3) = 2/3 (x - 9)
y + 3 = 2x/3 - 2*9/3
y + 3 =2x/3 - 2*3
y + 3 = 2x/3 -6
y = 2x/3 - 6 - 3
y = 2x/3 - 9
