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Nitella [24]
3 years ago
12

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other

. Step 1: Calculate the slope of the diagonals. The slope of diagonal PS is . The slope of diagonal QR is . Step 2: Calculate the midpoint of the diagonals. The midpoint of PS is . The midpoint of QR is . The diagonals of the square are perpendicular bisectors because the diagonals are .
Mathematics
2 answers:
Soloha48 [4]3 years ago
7 0

Answer:

i did the assignment on edge, i hope this helps!   :)

Step-by-step explanation:

On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.

Step 1: Calculate the slope of the diagonals.

The slope of diagonal PS is .  -1

The slope of diagonal QR is .  1

Step 2: Calculate the midpoint of the diagonals.  

The midpoint of PS is .  (2,2)

The midpoint of QR is .  (2,2)

The diagonals of the square are perpendicular bisectors because the diagonals are . perpendicular and share the same midpoint

const2013 [10]3 years ago
6 0

Answer:

The slope of diagonal PS is -1.

The slope of diagonal QR is 1.

The midpoint of PS is (2, 2).

The midpoint of QR is (2, 2).

Perpendicular and share the same midpoint.

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KIM [24]

A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

<h3>What is directly proportional?</h3>

It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.

It is given that there is a proportional relationship between cost and pints of blueberries as,

Blueberries (in pints)          2      5

Cost (in dollars)                6.80   17

17/6.80 = 5/2

As we draw the graph and analyze each option one by one we get the graph shown by the statement C following the given proportional relationship.

Thus, a coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

Learn more about the directly proportional here:

brainly.com/question/16937826

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4 0
1 year ago
What is the measure of angle ONP?
olganol [36]
The answer is actually 80 degrees, I just took the test.
8 0
3 years ago
Read 2 more answers
2/3x8= answer as a mixed fraction?
dimulka [17.4K]

Answer:

5 1/3

Step-by-step explanation:

2/3 x 8 = 2 x 8 / 3 = 16 / 3 = 5 1/3

6 0
3 years ago
Read 2 more answers
Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha
zhenek [66]

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}

It means Eathn sold 1/12 more lemonade.

5 0
3 years ago
10. Write in slope-intercept form:<br> -3x + 4y = 12
Anastasy [175]

Answer:

Step-by-step explanation:

Write in slope-intercept form:

-3x + 4y = 12 is

 Slope = 1.500/2.000 = 0.750

 x-intercept = 12/-3 = 4/-1 = -4.00000

 y-intercept = 12/4 = 3

7 0
3 years ago
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