AD = 42-x
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides ⇒
AB/BC = AD/DC
36/27 = (42-x)/x
36x = 27(42-x)
36x = 1134 - 27x
36x + 27x = 1134
63x = 1134
x = 1134/63
x = 18
The answer is C. Just took the quiz and B was wrong. It needs to be the one with the smaller 12.
Answer:
1348 light years.
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between KA-7 and KA-11.
We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.
We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.
Upon substituting our given values in above formula we will get,



Let us take square root of both sides of our equation.


Therefore, KA-7 and KA-11 are approximately 1348 light years apart.
Answer:
F= 40
Step-by-step explanation:
F=ka
25 = k 5
k = 5
F=5a
F=5*8
F= 40
Answer:
The approximate percentage is 25%.
Step-by-step explanation:
The initial population was = 12089 rounded off to 12000.
The final population is = 15025 rounded off to 15000.
Change in population = 
So, the approximate percent increase is =

= 25%.