03babyj
03babyj 03babyj
  • 24-05-2019
  • Mathematics
contestada

What is the value of x if line a is parallel to line b and is cut by a transversal?

What is the value of x if line a is parallel to line b and is cut by a transversal class=

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 24-05-2019

Answer:

x=35

Step-by-step explanation:

The angles are alternate interior angles.  Alternate interior angles are equal if the lines are parallel.

3x+16 = 5x-54

Subtract 3x from each side

3x -3x+16 = 5x-3x-54

16 = 2x-54

Add 54 to each side

16+54 = 2x-54+54

70 = 2x

Divide each side by 2

70/2 = 2x/2

35 =x

Answer Link

Otras preguntas

Why do scientists make biological collections
Is cyclopentane an isomer of pentane? Explain.
the floor of our classroom is 50 feet by 75 feet what is the area of our floor
The height of the flagpole is three fourths the height of the school. The difference is their heights is 4.5 m. What is the height of the school?
what is the lcm of 5,6, and 7
What is the estimate of 137,638 plus 52,091
How do I graph the inequalities 2x+y>1 and 3x-y>6?
where are atolls usually located around?
What is the estimate of 137,638 plus 52,091
must be added to 14056 to result in a sum of 38,773?