Since AED forms a straight line, all involved angles sum to 180°. Therefore AEB + BED = 180. Also, since EC bisects BED, BEC = CED, and BED = 2× CED. Now to substitute the first equation:
AEB + BED = 180
AEB + 2×CED = 180
11x-12 + 2(4x+1) = 180
11x-12+8x+2 = 180
19x-10 = 180
19x-10+10 = 180+10
19x = 190
x = 10
So what is m<AEC?? It is the sum of AEB + BEC, and since BEC = CED we can say that:
AEC = AEB + CED
AEC = 11x-12 + 4x+1 = 15x-11 = 15(10)-11 = 150-11
m<AEC = 139°
Answer:
Option The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above
the line
Step-by-step explanation:
we have

The solution of the inequality is the shaded area above the dashed line The equation of the dashed line is 
The slope of the dashed line is positive 
The y-intercept of the dashed line is -8
see the attached figure to better understand the problem
So megan is four years younger than her aunt
m+4=a
or
m=a-4
the sum of their ages is at least 40
m+a<u>></u>40
subsitute a-4 for m
a-4+a<u /><u>></u>40
combine like terms
2a-4<u>></u>40
the answer is the third from the top
Answer:
first one is A and the second one is B.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!