Answer:
A. 
Step-by-step explanation:
We have been given a graph of two parallel lines and we are asked to find the value of x.
We can see that angle that measure x and the angle that measure 34 degrees is inside our parallel lines a and b and on the opposite side of transversal, so these angles are alternate interior angles.
Since the alternate interior angles are equal, therefore, value of x is 34 degrees and option A is the correct choice.
Triangles ABC and DEF may or may not be congruent, because the angle-angle-angle (AAA) postulate is not a criterion for congruency of any two triangles. This is because the angle-angle-angle postulate only incorporates the angles of the triangles, and the side lengths are not specified, so congruency may or may not be true for these triangles.
Answer:
5 gallons of water must be added.
10 gallons to start with
adding 'x' gallons of water final volume = 10 + x
.9 (10) = amount of vinegar
.1(10) = amount of water
amount of vinegar before and after water addition is constant
.9(10) = .6(10+x)
9 = 6 + .6x
3 = .6x
x = 5 gallons of water to be added
(i truly hope i helped you
Common factors of 50: 1, 2, 5, 10, 25, 50
Common factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Common factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
You're welcome.
Answer:
19 degrees
Step-by-step explanation:
You know the sum of the interior angles of a triangle is 180 degrees.
So then you can make the equation 82 + 41 + 3x = 180
By solving for x, you get the answer:
123 + 3x = 180
3x = 57
x = 19 degrees
Hope dis helps ya
