Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Slope of the line 'm' = -
y-intercept 'b' of the line is equal to the y-intercept of another line given as,

Here y-intercept of the line 'b' = -2
Therefore, the equation of the line will be,
y = (-
)x + (-2)

Here negative slope represents a line which is decreasing having y-intercept = -2
Therefore, last graph (bottom) given in the picture will be the answer.
Parallel lines have the same slope.
'a' is the only choice that has the same slope (-5/4)
as the line in the question.
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:
where the img
Step-by-step explanation:
<u>Given</u>:
Four lines are marked proportion, the length of TW can be determined by

<u>Value of a:</u>
Let us set the proportion for the given lines.
Thus, we have;



Thus, the value of a is 5.6
<u>Value of b:</u>
Let us set the proportion for the given lines.
Thus, we have;



Thus, the value of b is 5.
<u>Length of TW:</u>
The length of TW is given by


Thus, the length of TW is 13.6