Answer:
x=4
Step-by-step explanation:
The two angles together are complementary, which means they add up to 90 degrees
solving for x:
9x+4x+38=90
9x+4x=13x
13x+38=90
13x+38-38=90-38
13x=90-38
13x=52
x=4
hope this helps ^D^
Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
The three angles of a triangle equal 180 degrees:
the first two angle are 20.9 and 57.4 which when added together equal: 20.9 + 57.4 = 78.3 degrees
to find the 3rd angle subtract that total from 180:
180 - 78.3 = 101.7
the 3rd angle is 101.7 degrees
