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°.
There are 30 days in April, so if you randomly pick a date in April there are 30 equally likely outcomes
Answer:
84 grams; 5 ounces
Step-by-step explanation:
1oz = 28g
3*1oz = 3*28g
3 oz = 84g
140g = 5*28g = 5*1oz
140g = 5oz
Answer: Its C, 9.1
Step-by-step explanation: Did it on usa prept :)
Answer:
D. |C -305,000| ≤ 80,000
Step-by-step explanation:
Such an equation will say that the difference from the average of these values is at most half of their difference.
| C -(225000+385000)/2 | ≤ (385000 -225000)/2
|C -305,000| ≤ 80,000 . . . . . matches choice D
