John will need to sleep for 10.3 hours before his second exam so that the
average of his two exam scores is an 80.
We were given
8 hours of sleep = 70
To get average of 80
<u>70+ x</u> = 80
2
Cross multiply:
70+x = 160
x= 160-70
= 90.
If 8 hours of sleep = 70
x hours of sleep = 90
Cross multiply
8× 90 = 70 × x
720 = 70x
x = 720/70
x = 10.2857
≈ 10.3 hours of sleep
Read more about Equation here brainly.com/question/17202391
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The equation 
shows that the diagonals are congruent perpendicular bisectors.
The vertices of the square are given as:
- c = (1,1)
- d = (3,1)
- e =(3,-1)
- f = (1,-1)
<h3>How to determine the
congruent perpendicular bisectors.</h3>
Start by calculating the slope of diagonal ce using:
So, we have:
Next, calculate the slope of diagonal df using:
So, we have:
The slopes of both diagonals are:
By comparing both slopes, we have:
i.e.
Hence, shows that the diagonals are congruent perpendicular bisectors.
Read more about perpendicular bisectors at:
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