Answer:
Reason 3: Vertical Angles Theorem
Reason 4: ASA theorem.
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:

y=60+25sin(pi/6)t
The maximum value will occur when
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is
. So




That is the number of months after April 15, which is 3 months. So July 15.
To get y you can move the x's to one side, so 120y=500-35x
then you can isolate the y, y= 500/120-35x/120
:)
Answer:
I'm going to write both of these because maybe you have a fill in the blank question. I don't know.

Simplify:

Step-by-step explanation:
is the equation of a circle with center (h,k) and radius r.
You are given (h,k)=(4,5) because that is the center.
You are given r=9 because it says radius 9.
Let's plug this in.

Simplify:

Answer:
A. q = 39
Step-by-step explanation:
Since the lines are parallel, their sides will be proportional,
So,
Taking their proportion
=> 
Cross Multiplying
q × 40 = 26 × 60
q = 
q = 39