the measure the measure of the angle of Pentagon are x minus 5 x minus 6 2 x minus 7 x and 2 x minus 2 find the value of x​

x = 56°

Step-by-step explanation:

Applying,

Sum of the interior angles in a polygon = (n-2)180

Where n = number of sides.

From the question,

Given: n = 5 sides (Pentagon)

Therefore, sum up all the given interior angle of the polygon

(x-5)+(5x-6)+(2x-7)+x+(2x-2) = (5-2)180

10x-20 = 540

10x = 540+20

10x = 560

x = 560/10

x = 56°

(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

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.