Supplementary means that the angles have to add up to 180, so you have your equation.
180=5x+17x-18
198=22x
x=9
Then to find the measures of the angles, you plug x back in.
m∠ABD=5(9)=45 degrees
m∠BDE=17(9)-18=153-18=135 degrees
Answer:
He does that because he is short and his hand can't reach the 20th floor button
Step-by-step explanation:
Mitch does that simply because he is short.
When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.
The expectation would be that the player would not get much money. 3, 4, 5, 6, 8, 9, 10, and 11 does not get a lot due to the entrance fee of $3. 20 - 3 = 17. 5 - 3 = 2.
Step-by-step explanation:
In Exercise B, the complement of an angle is 90° - ∠X
4. 90° - 45° = 45°
5. 90° - 20° = 70°
6. 90° - 30° = 60°
7. 90° - 55° = 35°
8. 90° - 75° = 15°
9. 90° - 80° = 10°
In Exercise C, the supplement of an angle is 180° - ∠X
10. 180° - 20° = 160°
11. 180° - 105° = 75°
12. 180° - 90° = 90°
13. 180° - 150° = 30°
14. 180° - 135° = 45°
15. 180° - 120° = 60°
We'll use elimination for this system of equations. What variable should get canceled? The x or y? Well to cancel, we need a positive and negative variable.
x + y = 10
x - y = 0
In this case, the y's will cancel out.
Then we will add the x's together and the 10 and 0.
x + y = 10
x - y = 0
Becomes
2x = 10
Now, solve for x. Just simply divide by 2.
2x / 2 = 10 / 2
x = 5
Now we know what the x variable is equal to!
To solve for the y variable, just replace the x variable in one of the equation and solve for y.
I'll use the x + y = 10 equation
We know x is equal to 5.
5 + y = 10
Subtract both sides by 5.
5 - 5 + y = 10 - 5
y = 5
So, both x and y are equal to 5.
