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°.
Initial temperature = (-4.8)
Rise = 6.3
So, temp. after rise = -4.8 + 6.3 = 1.5
Again, fall = (-5.6)
So, temp after fall = 1.5 - 5.6 = (-4.1)
The answer is x= 4 and y= -3
6x-4y=36 -- (1)
2x-8y=32- (2)
from (1)
-4y= 36-6x
y= -9+3/2x
(3) into (2)
2x-8(-9+3/2x)=32
2x+72-12x=32
72-10x=32
-10x= -40
x= 4
sub x=4 into y= -9+3/2x
y= -9+3/2(4)
y= -3
Answer:
It is 2
Step-by-step explanation:
You answer is 1300. hope that helps
