This is the isosceles right triangle, the diagonal of a square, the thing that so upset the Pythagoreans. The two sides and diagonal of a square are in ratio
so we get

We could have also gotten this using Trig:


Or by recognizing u=v because remaining angle is 45 so this must be isosceles so



Answer:

Step-by-step explanation:
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
9514 1404 393
Answer:
A = -68.75p +2906.25
Step-by-step explanation:
We can solve for m and b using the given values of A and p.
1600 = m·19 +b
2150 = m·11 +b
Subtracting the second equation from the first, we have ...
-550 = 8m
m = -550/8 = -68.75
Substituting this into the first equation gives ...
1600 = 19·(-68.75) +b
b = 1600 +1306.25 = 2906.25
The desired linear equation is ...
A = -68.75p +2906.25
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<em>Additional comment</em>
Revenue will be maximized at the price that cuts attendance to half the value when the price is 0, about $21.14.
Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.
hope that helps.