(30 points) in the figure AB/CD. What are the values of x and y?
A: x=32, y=140
b: x=140, y=52
c: x=52, y=140
d: x=38, y=154

C.

Step-by-step explanation:

interior angles for ABCD is 360° and for ABO(triangle above) is 180°

from triangle,

you will get angle for OBA which is 180° - 38° - 90° = 52°

from angle B, we know that, straight line is 180°.

so,

180° = 52° +y- 12°

y = 140°

so, we can calculate x.

360° = 90° + 90° + 128° + x

x = 52°

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

exactly you go it

step-by-step explanation: