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°.
<em><u>It's 30</u></em>
<em>Hope that helped!</em>
all
150+67=217 woohoo it's 217 not 2000 sooo him and all boxes
Answer:
Triangle
Step-by-step explanation:
The triangle has the formula that have b*h/1/2.
If you would like to know about how far does a car travel in 7.1 seconds, you can calculate this using the following steps:
51.3 feet ... 1 second
x feet = ? ... 7.1 seconds
51.3 * 7.1 = x * 1
x = 51.3 * 7.1
x = 364.23 feet
The correct result would be 364.23 feet in 7.1 seconds.
