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:
-1/21
Step-by-step explanation:
2/3 + -5/7
Get a common denominator of 21
2/3 *7/7 = 14/21
-5/7*3/3 = -15/21
14/21 - 15/21 = -1/21
Answer:
Whole numbers are positive numbers (this includes 0) that do not have decimals or fractions to them.
Example:
1, 2, 3, 4, 5,etc are all whole numbers, because they are positive and do not have decimals or fractions
1.25 would not be a whole number, because although it is positive, it has a decimal.
Answer:
Step-by-step explanation:
a = 180 - 100
= 80 degrees
b = 180 - 80
= 100 degrees
c = 180 - 135
= 45 degrees
Act like it's a whole circle and find the perimeter, then divide by 2.
P = 2 * pi * r
P = 2 * 3.14 * 9
P = 56.52
Now divide by 2:
P = 28.26
