Apair of parallel lines is cut by a transversal:

a pair of parallel lines cut by a transversal is shown. the inside bottom right angle is labeled 80 degrees. the alternate interior angle is cut by a ray and is labeled as x on one side and 15 degrees on the other.

what is the measure of angle x?
60 degrees
65 degrees
70 degrees
80 degrees

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct