The line crossing the two parallel lines forms an allied angle
So using the theory “allied angles add up to 180 degrees” we can find x
76 + x =180
x= 180-76
x=104 (Option B)
<h3>
Answer: C. If two lines are parallel, then the alternate interior angles formed are congruent.</h3>
This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.
The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).
We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.
if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8 ok
(2) y = 2x – 5
-2=2*4-5=3---------->-2 is not 3
the point (4, –2) is not solution of the system of equations
It is B.Scale factor=New length/old length=8/2=4
Answer:
is the correct answer.
Step-by-step explanation:
Given:
To find:
if given term is written as following:
<u>Solution:</u>
We can see that the resulting expression does not contain anything under 
(square root) so we need to rationalize the denominator to remove the square root from denominator.
The rule to rationalize is:
Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.
Applying this rule to rationalize the given expression:
Comparing the above expression with:
A = 5, B = 6 (Not divisible by square of any prime)
C = -10
D = 2 (positive)
GCD of A, C and D is 1.
So, 
