In a triangle all of the angles always add up to 180, so let's set up an equation.
79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64
The value of y is 64.
Hopefully this helps! If you have any more questions or don't understand, please comment or DM me, and I'll get back to you ASAP. :)
Okay, the exponential function is

The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes

Let's see at t=2, where the price is g=2000:

Take natural logarithm:



So, the difference between t=0 and t=2 is

And then we get the change of x in one year equal to 0.035.
So, the final equation is

You can insert any t and see that it is correct, for example t=7
Assuming that the pool was drained at a constant rate, the speed at which it was drained can be expressed as a function of time. In this case, the pool level will be expressed in feet per hour.
The time changed by 4 hours (6-2), and the level of the pool changed by -8 feet (2-10). Diving the feet by the hours to get the rate of decreasing depth, we find that the rate equals -2 feet/hour.
Answer:

Step-by-step explanation:
<em>Hey there!</em>
<em />
In most cases "the number" would be x.
So if the statement says 8 <u><em>"more than a number",</em></u>
It is saying 8 plus x or 8 + x.
<em>Hope this helps :)</em>
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph