Question

Find the values of x and y in parallelogram PQRS at the right. What are PR and SQ?

Answer 1

@Vocaloid

Answer 2

the diagonals bisect each other so

y = x + 1
2x = 3y - 7

Answer 3

we can do a substitution to get

2x = 3x + 3 - 7

x = ?

Answer 4

@SkinnyMinnie20 still there?

Answer 5

yes im here

Answer 6

x=4

Answer 7

good

now we let x = 4 to find y (y ends up being 5 using the first equation)

Answer 8

then you just calculate PR and QS using the diagram

Answer 9

PR = 3y - 7 + 2x
QS = y + x + 1

Answer 10

okay so y=5

Answer 11

still there?

Answer 12

yes I said it would be y=5

Answer 13

ok but what did you get for PR and QS?

Answer 14

PR=4
QS=5

Answer 15

no

Answer 16

x = 4 and y = 5

Answer 17

PR = 3y - 7 + 2x
QS = y + x + 1

Answer 18

^ calculate PR and QS.

Answer 19

How?

Answer 20

you are given x and y.

you are given the formulas for PR and QS in terms of x and y.

Answer 21

again...

PR = 3y - 7 + 2x
QS = y + x + 1

Answer 22

so replace x and y with 4 and 5

Answer 23

yes

Answer 24

okay

Answer 25

PR=16
QS=10

Answer 26

good that's your answer

Answer 27

Okay thank you very much