What is m<9? Your response should be at least 3 complete sentences. Be sure to include any relevant measurements and calculations. FAILURE TO SHOW WORK WILL RESULT IN A LOSS OF POINTS. no plagiarism!!

9514 1404 393

  70°

Step-by-step explanation:

Angles 2 and 13 are alternate exterior angles, so are congruent. The value of x can be found by solving the equation that equates the expressions for the measures of these angles. Once x is found, the measure of angle 13 can be determined. The measure of angle 9 is the supplement of angle 13.

So, ...

  m∠2 = m∠13

  8x +14 = 10x -10

  24 = 2x  . . . . . . . .  add 10-2x

  12 = x

  m∠13 = 10x -10 = 10·12 -10 = 110

  m∠9 = 180° -110°

  m∠9 = 70°

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

8

step-by-step explanation: