The first one, A..................
Answer:
x=3 y=4
Step-by-step explanation:
The diagonals in a parallelogram bisect each other
DG = GC and KG = GU
4x-7 = x+2
Subtract x from each side
4x-x-7 = x+2-x
3x-7 = 2
Add 7 to each side
3x-7+7 =2+7
3x=9
Divide by 3
3x/3=9/3
x=3
KG = GU
5y-8 = 3y
Subtract 5y from each side
5y-8-5y = 3y-5y
-8 = -2y
Divide by -2
-8/-2 = -2y/-2
4 =y
EXPLANATION:
To get the solution of the simultaneous equation, using the elimination method:
We will have the following steps:
Step 1:
Write the two equations:

Step2: Subtract the two equations:

Step 3: Simplify the expression

Step 4: Substitute x=-2 into the formula:

Therefore, the answer is

Thus,
Option B is correct
Look at the picture.
The triangle ADC and the triangle CDB are similar.
Therefore corresponding sides are all in the same proportion:

Answer: 4√3