Remember that an absolute value is the measure of something's distance from 0 on the number line. A key piece of that idea is that distances cannot be negative.
So, any absolute value set equal to or less than 0 or any negative number cannot have any solution.
Working out way up from the bottom...
That bottom one, is clearly an issue, since you have an absolute value set less than -2.
To decide on the others, you need to get the absolute value by itself.
On the third inequality, you need to divide by -2 to get the abs val by itself. When you do that, you'll end up with |3x-5| ≤ -3/2. That's a problem, so that won't have any solution.
On the second one, you'd start by subtracting 17 from both sides and you'd get |3x-6| > -2. That'll always be true, since an absolute value is always 0 or positive.
And you have the same thing with the first inequality too, that it's already set > a negative, so it's always true.
So, just the last two will not have solutions.
Answer:
Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.
Step-by-step explanation:
Even if both 1/4 is left, that doesn't mean you started with the same amount. Also, both 1/4 pieces are different shapes and sizes, making him wrong.
Hope this helped!! :)
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°
Answer:
Sin x= D
Tan x= F
Cos x= F
Step-by-step explanation:
Sin= opp/adj
cos= adj/hyp
tan=opp/adj
The digit in the thousands place is 1