Find x and y so the quadrilateral is a parallelogram

Result

Step-by-step explanation:

Given the parallelogram

Here are some of the properties of a parallelogram:

We know that the diagonals of a parallelogram bisect each other.

In our case, the diagonals PR and QS bisect each other.

Thus, we get

Given RT = x and TP = 5x-28, so

divide boh sides by 4

Similarly,  we can determine the value of y.

As

Given QT = 5y and TS = 2y+12, so

divide both sides by 3

Result

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

i believe it’s 165 because if u add 137 and 58 u get 195 and then subtract that from 360 and there’s ur answer