Math is basically useless rn but it’s the last week until Christmas break just 2 days left finish your math so your not stuck doing it later!! and enjoy your time off as much as you can!
Answer:
base = e
Step-by-step explanation:
The general log function is defined as
.... (1)
where, a is the base of the log function.
The natural logarithm function is

It can be rewritten as
.... (2)
where, e is a constant or Euler's number is:
e ≈ 2.71828183
On comparing (1) and (2) we get

Therefore, the base of the natural logarithm function is e.
By comparing the right triangle ABC with the triangle XYZ, we will see that:
<h3>
How to find the given segments?</h3>
So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.
Also, remember that for right triangle we have the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Now, the problem tells us that:
tan(x) = 5/2.5
For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.
Then we have:
YZ = 5
XY = 2.5
Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:
AC = 2*XY = 2*2.5 = 5
CB = 2*YZ = 2*5 = 10
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer: Whats the Question?
Step-by-step explanation: