Find the values of x and y.

Answers: x = 13 and y = 11

Let's focus on the angle expressions that have x in them.

They are adjacent angles and they form a straight line. So we consider them a linear pair. All linear pair angles always add to 180

(3x+89)+(7x-39) = 180

(3x+7x) + (89-39) = 180

10x+50 = 180

10x = 180-50

10x = 130

x = 130/10

x = 13

We'll use the same idea to find y

(3y+19)+(4y+84) = 180

(3y+4y) + (19+84) = 180

7y+103 = 180

7y = 180-103

7y = 77

y = 77/7

y = 11

Extra info (optional section)

Let's find the measures of the four angles based on the x and y values we found.

3x+89 = 3*13+89 = 1287x-39 = 7*13-39 = 523y+19 = 3*11+19 = 524y+84 = 4*11+84 = 128

It's not a coincidence that the 3x+89 and 4y+84 angles are equal (to 128). These are vertical angles which are always congruent. The other pair of congruent vertical angles are the 3y+19 and 7x-39 angles.

Note how 128+52 = 180 to help further confirm we have the correct values.

Another thing to notice is that all four angles add up to 360 degrees.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote

1.5 pounds because you put 9over 6 and then divide by 6