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.
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<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°.
Answer:
(7x+6y) is a binomial factor of the given expression 
Therefore 
Step-by-step explanation:
Given expression is
To find the binomial factor :
Rewritting the above expression as
( using the formula 
here a=7x and y=6y )
( using the formula 
)
Therefore
(7x+6y) is a binomial factor of the given expression
Answer:
-3
Step-by-step explanation:
complete operations and rearrange to y = mx + b format
y + 1 = -3(x-5)
y + 1 = -3x + 15
y = -3x + 14
slope is -3
Answer:
4.
Step-by-step explanation:
Since Eve has already knitted nine scarves we just need to add of few more. Our equation is this: 9 + _ + _ = ?
If you do 9 + 4 + 4, you get 17. Therefor, Eve must knit four scarves per day to meet her goal.
