Answer:
angle DFG = 49 degrees
angle JKL = 41 degrees
Step-by-step explanation:
When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.
In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.
angle DFG = x + 5
angle JKL = x - 3
(x + 5) + (x - 3) = 90
2x + 2 = 90
2x = 90 - 2
2x = 88
x = 44
But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.
DFG = (44) + 5 = 49
JKL = (44) - 3 = 41
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where
m = slope
c = intercept
The equation of the given line is
y = 47x - 3
Comparing with the slope intercept equation, m = 47
If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47
We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes
4 = 47× 14 + c
4 = 658 + c
c = 4 - 658 = - 654
The equation becomes
y = 47x - 654
This means for every 5 students there will be 1 teacher so 550/5=110
So answer is 110 teachers
First bring them to common denominator.
