3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees. What is m∠SRW?

18
54
126
108

m∠SRW =

Step-by-step explanation:

Given: <VRW = 3x

          <TRS = (2x + 18)

What is m∠SRW?

<TRS = <VRW (vertically opposite angles)

2x + 18 = 3x

18 = 3x - 2x

x = 18

<VRW = 3x = 3 x 18 =

<TRS = (2x + 18) = 92 x 18 + 18)

           =

Also,

<TRV = <SRW (vertically opposite angles)

So that,

<TRU + <URV = <SRW

But,

<TRV + <SRW + <TRS + <VRW =

<TRV + <SRW +   +   =

<TRV + <SRW + =

<TRV + <SRW = -  

<TRV + <SRW =

2 <SRW =    (∵ <TRV = <SRW)

<SRW =

           =

Therefore,

m<SRW =

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.