In the accompanying diagram of parallelogram ABCD, angle A =2x-10 and angle B =5x+15. Find x.

x = 25

Step-by-step explanation:

Mathematically, one of the properties of a parallelogram is that consecutive angles of a parallelogram are supplementary

What this means is that they add up to be 180

A and B are supplementary, and this means that their addition equals 180

Thus, adding A and B equals 180

2x -10 + 5x + 15 = 180

7x + 5= 180

7x = 180-5

7x = 175

x = 175/7

x = 25

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.