What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!

11 ; 12°

Step-by-step explanation:

3x + 28 + 2x - 10 + 5x + 52 = 180

10x = 180 - 70

x = 11

m∠C = 2(11) - 10 = 12°

Angle ACB = 12°

Step-by-step explanation:

All angles in a triangle always add up to 180°, which gives us an equation to solve for x:

3x + 28 + 5x + 52 + 2x -10 = 180

Combine like terms

10x + 70 = 180

Subtract 70 from both sides

10x = 110

Divide both sides by 10

x = 11

Now we know the value of x, we need to just plug it in to angle ACB's given value:

2(11) - 10 = Angle ACB

22 - 10 = Angle ACB

12 = Angle ACB

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: