Seudónimo Seudónimo
  • 22-07-2019
  • Mathematics
contestada

ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.
A. -10
B. -20
C. 20
D. 30

ABCD is a parallelogram Find the values of x and y Solve for the value of z if zxy A 10 B 20 C 20 D 30 class=

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 28-07-2019

Answer:

C

Step-by-step explanation:

Parallel and opposite sides of a parallelogram are equal. Hence, we can say:

x + 30 = 2x - 10

and

2y-10 = y +10

Solving first one, we get:

x + 30 = 2x - 10

30+10 = x

x = 40

Also

2y - 10 = y + 10

y = 10 + 10

y = 20

Now, z = x - y, so

z = 40 - 20 = 20

Answer C is right.

Answer Link
awesomeluigi54
awesomeluigi54 awesomeluigi54
  • 26-07-2021

I can confirm that the answer is right.

Parallelograms have equal opposite sides. Do the math:

x - y = z

40 - 20 = 20

z = 20

Answer Link

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