In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.

For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).

Part A: Write an equation to represent the corresponding relationship between A and B.

Part B: Use the equation to find the measures of A and B.

Answers and Step-by-step explanation:

We know that angles A and B are corresponding angles. By definition, this means that A and B are equal in degree measure. A = 4x and B = -5(x - 18), so we can set these equal to each other.

A. 4x = -5(x - 18)

B. Now, we need to solve for x.

4x = -5x - 5 * (-18) = -5x + 90

9x = 90

x = 10

Plug this value into each expression of A and B:

A = 4x = 4 * 10 = 40 degrees

B = -5(x - 18) = -5(10 - 18) = -5 * (-8) = 40 degrees.

Thus A = B = 40 degrees.

Hope this helps!

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!