Answer:
30
Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.
In this case,
AOC & DOB are vertically opposite angles so both of them are 2x°
EOD & COF are vertically opposite angles so they are both 3x°.
FOB & EOA are vertically opposite angles so they are both x°.
Adding the values of all 6 angles, we get:
3x + 3x + 2x + 2x + x + x = 12x
We also know that
12x = 360°
x = 30°
Option 1:
is the right answer
Step-by-step explanation:
The slope-intercept form is given by:

Here m is the slope and b is y-intercept
Given
m = -3
Point = (-1,6)
Putting the value of slope

To find the value of b, putting the given point (-1,6) in the equation

Putting the value of b in slope-intercept form

Hence,
Option 1:
is the right answer
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
Answer:
I think these are the correct answers:
C.
The outcome of one event occurs at a different time than the outcome of the other event.
D.
The outcome of one event is not changed by the outcome of the other event.
Answer:
x=0
y=6
Step-by-step explanation:
3y- 12x = 18
2y-8x= 12
rearrange the equation
2y-8x=12
add 8x to both sides
2y=8x+12
divide both sides by 2
y=4x+6
now substitute it into 3y-12x=18
3(4x+6)-12x=18
simplify
12x+18-12x=18
simplify
18=18
x=0
substitute to find y
2y-8(0)=12
2y=12
y=6
Recheck:
3(6)-12(0)=18
18=18
2(6)-8(0)=12
12=12