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°.
You can do:
16 - 10 and then + 1 (thats 7)
9+ ? is 16 ? ( 7)
Answer:
1) The size of the colony after 4 days is 6553 mosquitoes
2) After 
Step-by-step explanation:
To answer this question you must use the growth formula
Where
is the initial population of mosquitoes = 1000
t is the time in days
k is the growth rate
N is the population according to the number of days
We know that when t = 1 and 
then N = 1600
Then we use these values to find k.
Now that we know k we can find the size of the colony after 4 days.
To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.
Answer:
Option B y=3x -2 is the answer.
Step-by-step explanation:
An easy way to quickly figure it out is to find the y-intercept of the graph. So, from the graph you can see that the line cuts the y axis at -2. Therefore, as per the equation of a straight line, y=mx+c
option B shows that the y intercept is -2. Thus option B is the answer to this question.
Answer:
The total number of students is 36.
Step-by-step explanation:
You would get this answer because twice the square root of 6. 6x6 is 36. Hope this helps :)
