Answer:
115degrees
Step-by-step explanation:
Given the following angles
m<A=(7x+24)°
m<B=(7x-26)°
Since both angles are supplementary, their sum will be 180 degrees
Taking the sum of the angles
m<A + m<B = 180
7x+24 + 7x - 26 = 180
14x - 2 = 180
14x = 180+2
14x = 182
x = 182/14
x = 13
get m<A
m<A = 7x+24
m<A = 7(13) + 24
m<A = 91 + 24
m<A = 115
Hence the measure of angle m<A is 115degrees
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
#LearnwithBrainly
M = -12
point = (0, 1/2)
Find the slope-intercept equation
y - y₁ = m(x - x₁)
y - 1/2 = -12 (x - 0)
y - 1/2 = -12x
y = -12x + 1/2
Answer:
Step-by-step explanation:
- Let the denominator be x
- So, numerator = x - 2
- According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is
