Question

ABCD,AB=2x+5,CD=2y+1,AD=y+5 and BC=3x-4 find x and y

Answer 1

please answer it :)

Answer 2

What is ABCD, a quadrilaterl, a trapezoid, a parallelogram, a rhombus, a rectangle, or a square? Is there a symbol before the letters ABCD?

Answer 3

ABCD is a parallelogram

Answer 4

no thats the only the question

Answer 5

Ok, now that we know it's a parallelogram, what do you know about the sides of a parallelogram?

Answer 6

Look at figure, AB and CD are opposite sides.
AD and BC are opposite sides.
In a parallelogram, opposite sides are congruent. That means the lengths of opposite sides are equal.

Answer 7

how about the formula?

Answer 8

Set two equations. Each one is one side equal to the opposite side.
Since AB and CD have the same length, you get:
2x + 5 = 2y + 1
Since AD and BC have same length, you get:
y + 5 = 3x - 4
Now solve the two equations as a system of equations.

Answer 9

i dont know it..please solve the answer :)

Answer 10

do you know it:)?

Answer 11

Ok, a system of equations:
2x + 5 = 2y + 1
y + 5 = 3x - 4

On first equation, subtract from both sides:
2x = 2y - 4
Now divide both sides by 2:
x = y - 2

Now taks x = y - 2, and substitute it for x in the second original equation:
y + 5 = 3(y - 2) - 4
Distribute 3 on right side:
y + 5 = 3y - 6 - 4
Do subtraction on right side:
y + 5 = 3y - 10
Now subtract 5 from both sides, and subtract 3y from both sides:
-2y = -15
y = 7.5

Answer 12

Now that we know y = 7.5, substitute it into the first equation:
2x + 5 = 2(7.5) + 1
2x + 5 = 15 + 1
2x + 5 = 16
2x = 11
x = 5.5