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°
5(20) + 4y = 216
100 + 4y = 216
4y = 216 - 100
4y = 116
y = 116/4
y = 29.....so they sold 29 four-dollar yogurts + 20 five-dollar yogurts....for a total of 49 yogurts sold <==
Answer:
s=31
Step-by-step explanation:
hi again so what you are gonna do is find out the opposite of subtraction which is addition then you are gonna do the opposite..so add 19 and 12 together then your sum would be 31.....to check your answer you must subtract 31 from 19 and then you get 12....so therefore s=31
hope you are getting a better understanding!
The answer is going to be H because if you plug in x from the table it will give you y.
Y = 4x - 3
y = -x - 13
Since both equations equal y, we will just substitute both equations to equal each other.
4x - 3 = -x - 13
+x on both sides
5x - 3 = -13
+3 on both sides
5x = -10
/5 on both sides
x = -2
Substitute x = -2 into one of the equations.
y = -x - 13
y = -(-2) - 13
y = 2 - 13
y = -11
To check answer, plug in both x and y values into one of the equations.
y = -x -13
-11 = -(-2) - 13
-11 = 2 - 13
-11 = -11
Answer:
x = -2
y = -11
