Answer:
x=72 and the exterior angle is 154
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.
y + 2x+10 =180
Solve for y by subtracting 2x+10 from each side.
y + 2x+10 - (2x+10) =180 - (2x+10)
y = 180-2x-10
y = 170-2x
The three angles of a triangle add to 180 degrees
x+ y+ 82 = 180
x+ (170-2x)+82 = 180
Combine like terms
-x +252=180
Subtract 252 from each side
-x+252-252 = 180-252
-x = -72
Multiply each side by -1
-1*-x = -72*-1
x=72
The exterior angle is 2x+10. Substitute x=72 into the equation.
2(72)+10
144+10
154
The graph is shown in the figure attached.
Step-by-step explanation:
We need to solve the inequality 
and graph the solution.
Solving the inequality:
Switch sides and reverse the inequality:
Multiplying both sides by -2 and reverse the inequality
The graph is shown in the figure attached.
Keywords: Graph the inequality
Learn more about Graph the inequality at:
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Step-by-step explanation:
domain is the valid interval for the x (input) values for the function.
the range is the valid interval for the y (result) values of the function.
so, we have a function definition and a valid domain interval for x. we therefore try the x values and see what result values they create. and that defines the range.
x = -6
y = 4 - -6 = 4 + 6 = +10
c
x = 2
y = 4 - 2 = +2
x = 7
y = 4 - 7 = -3
we have therefore a range of {-3, 2, 10}
I positive 15 and negative 15, in effect the absolute value function just removed negative signs
Step-by-step explanation:
Answer attached :)
Hope it helps :D
