B=7
3(b-4)+5b=44
3b-12+5b=44
8b=44+12
8b=56
b=7
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
__
<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
No it is not equal. 3.55 divided by 5=0.71. 0.3 divided by 5+ 0.05 divided by 5 equals to 0.07.
27. N > -1
29. T < 2
31. K= -12
33. 30= 4m + 2
Answer: m = 7
