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:
The outlier of the data would be 0
Step-by-step explanation:
This is true because it is 5 away from the closest one, whereas 12 is only 3 away from the closest one.
Answer:
8
Step-by-step explanation:
m2 - 2mn + n2 ,m = -2 and n = 4
= -2( 2 ) - 2( -2 )( 4 ) + ( -2 )2
= -4 + 4( 4 ) - 4
= -4 + 16 - 4
= 8
For the first equation, to get an equation that only has 1 solution your two missing numbers could be 3x and 6. This is because when you solve it, you get 7x + 2 = 3x + 6
- 3x
4x + 2 = 6
- 2
4x = 4
x = 1
For the second equation, your two numbers could be 7x and 4, because it means that x has to be different as 7 multiplied by one number and added to 2 cannot equal 7 multiplied by the same number but added to 4.
I hope this helps!
Eliminate the fractions by multiplying by least common multiple.
4,9,12 all go into 36 evenly. Multiply entire equation by 36.
36/4 = 9
36/9 = 4
36/12 = 3
New equation looks like:
