Answer:
B. 4.5
Step-by-step explanation:
(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,
6x + 42 = 18x - 12
Solve for the value of x. Combine like terms.
6x - 18x = -42 - 12
-12x = -54
Divide both sides by -12
-12x/-12 = -54/-12
x = 4.5
Therefore, x = 4.5 would prove lines l and m are parallel to each other.
Answer: rotation can be expressed as the composition of two reflections. A composition of reflections over two parallel lines is equivalent to a translation. Example: Given a || b, and pre-image ΔABC, where parallel lines are vertical. The composition of reflections over two intersecting lines is equivalent to a rotation. A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines). i hope this helps.
Step-by-step explanation:
Answer:
2 sqrt(15)
Step-by-step explanation:
Using the secant tangent formula
(whole secant) x (external part) = (tangent)^2
(5+7) * 5 = x^2
12*5 = x^2
60 = x^2
Taking the square root
sqrt(60) = sqrt(x^2)
sqrt(4*15) = x
2 sqrt(15) =x
Considering 32 outside the square root .
Here we have to combine like terms, and like terms are 8 , 98 ,3, 32 and 5 square root x and 6 square root x .
We need to remove the parenthesis and since there is a minus sign outside the second parenthesis , so we have to flip the sign of the terms of second parenthesis. THat is
=
And that's the final answer .