Answer:

Step-by-step explanation:
Given two points, we can find the equation of the line between them with the following:

First, we can calculate m, or slope

Next we can use the top equation and solve for b, the y-intercept


Answer:
m∠AEC = 139°
Step-by-step explanation:
To make the equations easier to write, let's say all measures are in degrees, and define ...
p = m∠AEB = 11x -12
q = m∠CED = m∠CEB = 4x +1
Then ...
p + 2q = 180
(11x -12) + 2(4x +1) = 180
19x -10 = 180 . . . . . . . . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
p = 11x -12 = 110 -12 = 98
q = 40 +1 = 41
The angle of interest is ...
m∠AEC = p +q = 98 +41
m∠AEC = 139 . . . . degrees
Answer:
8 = 4 +$
Step-by-step explanation:
Answer:
<em>x = - 11 ; m∠B = 132° </em>
Step-by-step explanation:
(33 - 9x)° + 48° = 180°
33 - 9x + 48 = 180
81 - 9x = 180
- 9x = 99
<em>x = - 11</em>
m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°
<em>m∠B = 132°</em>
Answer:
x=11
Step-by-step explanation:
first add 1 to both sides and the -1 will cancel out. Your left with 4x=3x+11.
Then subtract 3x from both sides and you will be left with. x=11