What must m∠QPS be for PQRS to be a parallelogram?

For the shape to be a quadrilateral, then the value of ∠QPS must be (b) 59 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

implies that:

Collect like terms

Multiply both sides by -1

implies that

Substitute 18 for x

Collect like terms

Hence, the measure of angle QPS must be (b) 59 degrees

Read more about quadrilaterals at:

link

2

step-by-step explanation:

1+1=2

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?