anabelle99orkf3o anabelle99orkf3o
  • 02-02-2018
  • Mathematics
contestada

Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x.

A.
7
B.
14
C.
27
D.
28

Respuesta :

ahmedishaal ahmedishaal
  • 02-02-2018
In parallelogram ABCD, opposite sides are congruent, it means 
AB = CD
BC = AD
So, 3y – 6 = 2y + 4 ........1
and 
5x – 8 = 4x –1...........2
now we can find the value of x and y from expression 1 and 2, 
3y – 6 = 2y + 4
3y-2y = 4+6
y = 10
5x – 8 = 4x –1
5x-4x = -1+8
x = 7
Thus, the value of x is 7, option A is the correct.

Answer Link

Otras preguntas

When 70,000 is written as 7.0 10^{n} what is the value of n ? Can you please explain with some details?
Why did the Chinese peasants rebel against the manchus from 1850 to 1864?
Which sign is the less sign and which one is the greater sign (can someone please tell me I really need help! and I never understand the signs!) is this greater
Which of the following nutrient cycles has its largest reservoir in the atmosphere? A) Carbon cycle B) Nitrogen cycle C) Potassium cycle D) Phosphorus cycle E)
Rmshot bought a 3.5oz chocolate bar.within 15minutes he had eaten 0.6 of the bar. How many ounces did he eat?
past perfect tense: the storm STOP by early afternoon.
Madison was driving at 40 mph and went 80 miles. How long did it take madison?
Who benefitted from the corrupt bargain?
type the requested verb form of this verb. future progressive tense: soar
What's the value of pi?