How to solve a quadrilateral

You give it a nudge and it solves itself.

Step-by-step explanation:

Here is an example.

Step-by-step explanation:

Given: parallelogram ABCD, sides as marked.

Find AD.

Solution: 6x - 10 = 3x + 5 (opposite sides)

3x - 10 = 5;    3x = 15;    x = 5

AD = 4x - 5 = 4(5) - 5 = 15

 Remember:

• This is where the properties of a parallelogram are needed. You know the opposite sides of a parallelogram are congruent, so set the opposite sides equal to one another.

• Be sure to pair up the opposite sides correctly. The side labeled 4x - 5 will not be used when solving for x, but will be used to solve for AD.

a=r

d=q

c=p

b=s

hope this !

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,