9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the triangle proportionally.
The base segment to the right of the bisector is 6-x, so we can write the proportion ...
x/6 = (6-x)/4
Multiplying by 12, we get ...
2x = 3(6 -x)
5x = 18 . . . . . add 3x
x = 18/5 . . . . divide by 5
x = 3.6
_____
<em>Alternate solution</em>
Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:
left-part / sum-of-both-parts = x/6 = 6/(6+4)
Then the solution is x = 6(6/10) = 36/10 = 3.6.
Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."
Answer:
a = 629
Step-by-step explanation:
a = w * L
w = 17
L = 2w + 3
a = (17) * (2w + 3)
a = (17) * (2(17) + 3)
a = 17 * (34 + 3)
a = 17 * (37)
a = 629
No. If you divide 69 by 100 you would get 0.69. If you divided 6 by 10 you would get 0.6. Therefore 69/100 and 6/10 is not equivalent.
Answer: I think it would be 4a(a−2b squared)
I am guessing that the correct form of equation
is:
f(x)
= 16,800(0.9)^x
where
x is the exponent of (0.9)
Since
we are looking for the original population and x stand sfor the number of years,
therefore x=0
substituting:
f(x) = 16,800(0.9)^0
Since (0.9)^0 would just be equal to 1. Therefore
the original population is
16,800.
Answer: B. 16,800
