Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90

to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90

and we get 18 which is X.

Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.

First, distribute 5(y + 11)

Then you get this equation :

Now, add the two equations together

and you get this equation

Now subtract 45 from both sides

and divide by 9 on both sides

and you get your answer

So

and
Answer:
B a rotation about point H
Step-by-step explanation:
Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation?
a reflection across the line containing HK
a rotation about point H
a reflection across the line containing HJ
a rotation about point K
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
About 100. (Im not quite sure)