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:
$15. 90
Step-by-step explanation:
3% of 530= 15.9
Hope this helps you, and good luck in the future :)
Answer:
length : 15 ft
width : 3 ft
Step-by-step explanation:
perimeter = 2×l(ength) + 2×w(idth) = 36
l = 3w + 6
=> 2×(3w+6) + 2w = 36
6w + 12 + 2w = 36
8w = 24
w = 3
=> l = 3w + 6 = 3×3 + 6 = 9+6=15
<span>Determine the lower limit of the 95% interval for the true mean weight. ... A diver descended at a constant rate of 12.24 feet every 3 minutes. .... weight of 16.05 ounces. at the 5% level of significance can we conclude that ...</span><span>
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