In parallelogram ABCD if m

145 degrees

Step-by-step explanation:

All angles in a parallelogram always add up to 360 degrees when added together.

And all angles are the same as the angle adjacent to them.

Since we already know that angle DAB is 35, then the adjacent angle BCD, is also 35.

And since we know that all the angles add up to 360, we just gotta do the math.

35 + 35 = 70 and when you subtract 70 from 360 you get 290. Now all you have to do is divide 290 by 2, and you get 145, which is also the same as angle ABC since they are adjacent to each other.

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

47

step-by-step explanation: