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:
6k^3(2 - 5k)
Step-by-step explanation:
12k^3 - 30k^4
Factor out 6k^3
6k^3(2 - 5k)
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
Answer:
$426
Step-by-step explanation:
Step one:
given data
He bought a video game system for $299
2 games at $49 apiece= 2*49= $98
total cost = 299+98=$397
tax= 7.33%
=7.33/100*397
=0.0733*397
=29.1001
total cost = 29.1001+397
=$426
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are the following expression and we are to expand it by multiplying the term outside the parenthesis with terms inside it:
[ t e x ] - 2 x ^ 2 ( 3 x ^ 3 - 5 x ^ 2 + 6 x - 1 ) [ / t e x]
Multiplying the term [ t e x ] - 2 x ^ 2 [/ t e x ] with each of the terms inside the brackets to get:
Note that the exponents are added when multiplied and since each terms has a different exponent so they cannot be added or subtracted.
