A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.
<h3>How to calculate the slope of a line?</h3>
Mathematically, the slope of a line is given by the following formula;

For line RP, we have:

Slope RP = 7.
For line SQ, we have:

Slope SQ = negative one-sevenths.
For the midpoint, we have:
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.
Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.
In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.
Read more on squares here: brainly.com/question/2882032
#SPJ4
Answer:
D
Step-by-step explanation:
trust me
Answer: The graph does not show two quantities that vary directly, because the line does not pass through the origin.
Step-by-step explanation:
By definition, you know that Direct variation equations have the following form:

Where "k" is the constant of proportionality.
The equation means that when "x" increases, "y" increases" and the ratio does not change.
Now, it is very important to remember the following:
- The graph of a Direct variation equations is a line whose slope is "k".
- The line must passes throug the origin (
)
Observe the graph provided.
As you can notice, the line does not pass through the origin; therefore, that graph does not show two quantities that vary directly.
The time it will take for the block of ice to melt if the temperature is 45 degrees is 3 hours.
The cost to travel 22 miles is 55 dollars.
<h3>How to find how long for the ice to melt?</h3>
let
time it takes for ice to melt = x
air temperature = y
Therefore,
x ∝ 1 / y
x = k / y
when x = 2.5 hours and y = 54 degrees
Hence,
k = 2.5 × 54
k = 135
The time it will take for the block to melt at 45 degrees = 135 / 45 = 3 hours
<h3>How to find equation that relates the cost to the number of miles?</h3>
It costs $35 for a ride from the city centre to the airport, 14 miles away.
where
c = cost
m = number of miles
Therefore, the equation is as follows:
35 / 14 = 2.5
c = 2.5m
Hence, when you travel 22 miles,
c = 22(2.5)
c = 55 dollars
learn more on equation here: brainly.com/question/22737982
#SPJ1