Solve the following equation for the value of q.
5 (34 – 10) – 5q = –15

q = 27

I hope this helps!

q=27

Step-by-step explanation:

Given

5(34-10)-5q=-15

Combine like term in the parentheses

5×24-5q=-15

Combine like term by multiplication

120-5q=-15

Subtract 120 on both sides (subtraction property of equality)

120-5q-120=-15-120

-5q=-135

Divide -5 on both sides (division property of equality)

-5/-5 q=-135/-5

q=27

Hope this helps!! :)

Please let me know if you have any question

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

1/2*qr*rs

step-by-step explanation: