0 Please Help
im stuck on this problem

x = 40

Step-by-step explanation:

We know that the angles marked (x+20)º and 120º form a straight line, so they add to 180º. This means that x + 20 + 120 = 180, so x = 40.

Note: the sum of the interior angles of any triangle is equal to 180º. Another way to solve this problem would be to set (x+20) + 2x + x equal to 180 and solve for x. You would be able to solve the problem this way if you were not given that the exterior angle was 120º.

21.4 i did it already for s1

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true