Find the value of x. then find the measure of each labeled angle.

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x = 20; the labeled angles are 80° and 100° ⇒ the last answer

Step-by-step explanation:

* Lets revise some facts about a parallelism

- If two lines are parallel, and intersected by a line, there are 3

 pair of angles are formed

1) Alternate angles equal in measures (corners of Z letter)

2) Corresponding angles equal in measure (corners in F letter)

3) Interior supplementary angles their sum is 180° (corners of U letter)

* Now lets solve the problem

∵ There are two parallel lines intersect by another line

- The formed U letter

∴ The labeled angles are interior supplementary angles

∴ Their sum = 180°

∴ 5x + 4x = 180° ⇒ add the like terms

∴ 9x = 180° ⇒ divide both sides by 9

∴ x = 20°

* Lets find the measure of the labeled angles

∵ The measure of one of them is 4x°

∴ Its measure = 4(20) = 80°

∵ The measure of the other is 5x°

∴ Its measure = 5(20) = 100°

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

plz yuo

step-by-step explanation: