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Rudik [331]
3 years ago
14

Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, 0), and S (1, −1). Russell and Jamie have both classified PQRS differ

ently. Examine their proofs. Who is correct?
Russell Jamie
PQRS is a parallelogram because opposite sides are both congruent and parallel.

Segment PQ
P (0, 1) and Q (3, 2)
d equals the square root of the quantity 3 minus 0 all squared plus 2 minus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals 2 minus 1 over 3 minus 0 equals one third

Segment SR
S (1, −1) and R (4, 0)
d equals the square root of the quantity 4 minus 1 all squared plus 0 plus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals 0 plus 1 over 4 minus 1 equals one third

Segment PS
P (0, 1) and S (1, −1)
d equals the square root of the quantity 1 minus 0 all squared plus negative 1 minus 1 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5
m equals negative 1 minus 1 over 1 minus 0 equals negative 2 over 1


Segment QR
Q (3, 2) and R (4, 0)
d equals the square root of the quantity 4 minus 3 all squared plus 0 minus 2 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5
m equals 0 minus 2 over 4 minus 3 equals negative 2 over 1

Segments PQ and SR are both congruent and parallel, and segments PS and QR are both congruent and parallel. PQRS is a rectangle because opposite sides are both congruent and parallel and adjacent sides are perpendicular.

Segment PQ
P (0, 1) and Q (3, 2)
d equals the square root of the quantity 3 minus 0 all squared plus 2 minus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals 2 minus 1 over 3 minus 0 equals one third

Segment SR
S (1, −1) and R (4, 0)
d equals the square root of the quantity 4 minus 1 all squared plus 0 plus 1 all squared equals the square root of the quantity 9 plus 1 equals the square root of 10
m equals 0 plus 1 over 4 minus 1 equals one third

Segment PS
P (0, 1) and S (1, −1)
d equals the square root of the quantity 1 minus 0 all squared plus negative 1 minus 1 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5
m equals negative 1 minus 1 over 1 minus 0 equals negative 2 over 1


Segment QR
Q (3, 2) and R (4, 0)
d equals the square root of the quantity 4 minus 3 all squared plus 0 minus 2 all squared equals the square root of the quantity 1 plus 4 equals the square root of 5
m equals 0 minus 2 over 4 minus 3 equals negative 2 over 1

Segments PQ and SR are both congruent and parallel, and segments PS and QR are both congruent and parallel. Segments PS and SR are perpendicular. Segments PQ and QR are perpendicular.
Russell
Jamie
Both
Neither
Mathematics
2 answers:
andrew-mc [135]3 years ago
6 0

Jamie

Step-by-step explanation:

dybincka [34]3 years ago
3 0

Answer: Jamie

Step-by-step explanation:

Bcuz I took the test and made sure it was Jamie

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Answer:

(0.5793, 0.6363)

Step-by-step explanation:

Given that a  poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.

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You bake 42 chocolate cupcakes and 28 red velvet cupcakes.You package them in boxes that have the same ratio of chocolate to red
blondinia [14]

Answer: 16 red velvet cupcakes.

Step-by-step explanation:

To solve this problem you can apply the following proccedure:

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\frac{42}{28}=\frac{24}{x}\\\\1.5x=24\\x=16

There are 16 red velvet cupcakes in a box that has 24 chocolate cupcakes.

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Simplify each expression by using the Distributive Property and combine like terms to simplify the expression.-2(-x-1)-(x+9)
Ymorist [56]

-2(-x-1)-(x+9)

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Rearrange

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8 0
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kifflom [539]

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