Given:
The figure of two parallel lines MP and QS.
A transversal line KL interests the two parallel lines.
To find:
The 
.
Solution:
If a transversal line intersect the two parallel lines, then the corresponding angles are congruent and their measures are equal.
In the given figure 
and 
corresponding angles. It means their measures are equal.
Therefore, .
The third angle would be 100 degrees
Explanation: 360-85-115-60= 100
Answer: the cost of each pencil is $0.5
the cost of each eraser is $0.15
Step-by-step explanation:
Let x represent the cost of one pencil.
Let y represent the cost of one eraser.
Becky spent $1.45 for 2 pencils and 3 erasers. This means that
2x + 3y = 1.45- - - - - - - - - -1
Luke spent $2.65 for 5 pencils and 1 eraser. This means that
5x + y = 2.65- - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 3, it becomes
2x + 3y = 1.45
15x + 3y = 7.95
Subtracting, it becomes
- 13x = - 6.5
x = - 6.5/- 13
x = 0.5
Substituting x = 0.5 into equation 2, it becomes
5 × 0.5 + y = 2.65
2.5 + y = 2.65
y = 2.65 - 2.5
y = 0.15
Step-by-step explanation:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
Answer:
$4.257
Step-by-step explanation:
Given:
Items delivered per hour = 14
Fixed hourly costs = $47
variable cost = $0.90
Now,
at breakeven point, the profit = 0
or
Total revenue = total cost
let the charge at breakeven point be 'x'
thus,
x × 14 = $47 + ($0.90 × 14)
or
x × 14 = $47 + $12.6
14x = $59.6
or
x = $4.257
Hence, the breakeven charges are $4.257
