11.)-If PQRS is a parallelogram, find the values of x and y. 12.)- If ABCD is a parallelogram, find m C

Step-by-step explanation:

For no. 11

13x + 15 = 19x - 9 ( being opposite sides of parallelogram)

19x - 13x = 15 + 9

6x = 24

x = 4

Also,

4y + 7 ° + 10y - 37° = 180° { being co-interior angles }

14y - 30° = 180°

14y = 210°

y = 210° / 14

y = 15°

For no. 12

5x + 38° = 8x - 19° { being opposite angles of parallelogram }

8x - 5x = 38° + 19°

3x = 57°

x = 19°

Hope it will help :)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

29.5977692753

step-by-step explanation: