9514 1404 393
Answer:
(-98, 18)
Step-by-step explanation:
We recognize the equation as being in the "point-slope" form.
y -k = m(x -h) . . . . . . . a line with slope m through point (h, k)
__
Comparing this form to the given equation, we identify the parameters as ...
k = 18, m = 71.3, h = -98
The point on this line is (h, k) = (-98, 18).
Answer:
1,848
Step-by-step explanation:
Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.
It says that three-fourth of the total weight is metal and says to find the weight of wooden part.
We can find the weight of metal part and then subtract it from the total weight to calculate the answer.
Total weight = 14.9 kilograms.
Metal part = three-fourth of total weight = 
Wooden part = 14.9 - 11.175 = 3.725 kilograms.
Hence, the wooden part is 3.725 kilograms.
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.
__
<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°.
