find three consecutive number whose sum shall equal 45
Answer:
150°
Step-by-step explanation:
To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180
(12-2)=10
10*180=1800
Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.
So,
1800/12=
150
Hope this helps!
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°.
The correct option is: Option (C) 2Explanation:The slope formula is = m =
Insert the values in the above formula:
m =
Which is Option (C).
