Question

Given ABCD, solve for x:

a) x = (8x + 30)/(4x + 18)
b) x = 10
c) x = 15
d) x = 5

Answer 1

Solve for x in the parallelogram ABCD, equal the expressions for opposite sides and simplify. Distributing the 5 and then isolating x by subtracting and dividing leads to the solution x = -3.

Step-by-step explanation:

To solve for x in the parallelogram ABCD, given that the opposite sides are equal, we have two expressions for the sides: (8x + 30) and (4x + 18), both multiplied by 5. Since it's a parallelogram, these expressions must be equal to each other because opposite sides in a parallelogram are congruent. Therefore, setting them equal gives us the equation:

5(8x + 30) = 5(4x + 18)

Step 1: Distribute the 5 in both expressions.

40x + 150 = 20x + 90

Step 2: Subtract 20x from both sides to get the terms with x on one side.

20x + 150 = 90

Step 3: Subtract 150 from both sides to isolate the x term.

20x = -60

Step 4: Divide both sides by 20 to solve for x.

x = -3

Questions:

'Given ABCD, solve for X. Please show me how you did it too, if possible. Thank you!!! Given ABCD, solve for _ (8x+ 30)5 (4x+ 18)5'

ABCD is parallelogram.