Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
-12 + 5(3) = total yards at the end
So your answer would be 3 yards
<span>Given that Devorah
is filling a pool with a hose. The volume.H. In liters, of water coming
out of the hose in .m.minutes is given by the function H(m)=17.4m.
However it is a sunny day, and water is also evaporating from the pool.
Therefore,the volume ,V, in liters, of water in the pool m minutes after
devorah started filling it is given by V(m)=17m.
IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .
The formula for E(m) in terms of H(m) and V(m) is given by
E(m) = H(m) - V(m)
And
The formula for E(m) in terms of m is given by
E(m) = 17.4m - 17m = 0.4m</span>
Problem 7: Correct
Problem 8: Correct
Problem 9: Correct
The steps are below if you are curious
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Problem 7
S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15
I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.
===========================================================================================
Problem 8
First find y
y+116 = 180
y+116-116 = 180-116
y = 64
which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x
x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99
===========================================================================================
Problem 9
With any polygon, the sum of the exterior angles is always 360 degrees
The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96
