Answer:
(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.
Step-by-step explanation:
- Point P is at (4, 2),
- Point Q is at (8, 5),
- Point R is at (5, 9), and
- Point S is at (1, 6)
Midpoint of SQ 
Midpoint of PR 
Now, we have established that the midpoints (point of bisection) are at the same point.
Two lines are perpendicular if the slope of one is the negative reciprocal of the other.
In option D
- Slope of SQ
Therefore, lines RP and SQ are perpendicular.
Option D is the correct option.
Class B has the most consistant sleep because there is less of a difference between 6.87 and 3.65 than the other classes.
six pipes are laid end to end to form a row. Each pipe is 9 1/3 inches long. how long is the row of pipes, in feet?
Answer:
4.67 feet or 4 feet 8 inches or 
feet
Step-by-step explanation:
Let x be the length of the row pipes.
Given:
Number of pipes = 6
Each pipe has length 
inches. and six pipes are laid end to end to form a row.
The total length of the row is equal to length of the 6 pipes.
So, total length of row = Number of pipes 
Length of the pipe
inches
convert inch into feet.
Therefore, The length of the row is 4.67 feet or 4 feet 8 inches or feet .
Answer:
76% of X= 9.12. X= 12 gram. Therefore weight of the sample is 12 gram.
Step-by-step explanation:
i hope it's help you
Answer:
Step-by-step explanation:
let x represent the number of markers.
Let y represent the cost for x boxes of markers.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (14 - 7)/(24 - 10)
m = 7/14 = 0.5
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 24, y = 14 and m = 0.5 into y = mx + c. It becomes
14 = 0.5 × 24 + c = 12 + c
c = 14 - 12
c = 2
The equation would be
y = 0.5x + 2
