Answer:
m∠AYB = 85°
m∠C = 50°
Step-by-step explanation:
By is the angle bisector of ∠ABC,
Therefore, m∠1 = m∠2 = 30°
m∠3 = 35°
m∠AYB + m∠YAB + m∠ABY = 180°
m∠AYB = 180° - [(m∠1 + m∠2) + m∠3]
= 180° - [(30° + 30°) + 35°]
= 180° - 95°
= 85°
m∠A + m∠B + m∠C = 180°
2(30°) + 2(35)° + m∠C = 180°
60° + 70° + m∠C = 180°
m∠C = 180° - 130°
m∠C= 50°
Answer:
y=24
Step-by-step explanation:
y/3=8
What we can do is multiply both sides of the equation by 3. If we do this then we will get:
3y/3=8 x 3
The fraction 3y/3 can be simplified to just y. 8 multiplied by 3 is equal to 24.
Therefore, y=24
Answer:
![\sqrt[4]{7^5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B7%5E5%7D)
Step-by-step explanation:
I apologize, I do not know how to explain this.
Answer:
![x + y = 1042](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%201042)
![1.5x + 0.75y = 1140](https://tex.z-dn.net/?f=1.5x%20%2B%200.75y%20%3D%201140)
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of regular fares paid.
y is the number of reduced fares paid.
1,042 total fares were paid
This means that ![x + y = 1042](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%201042)
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.
This means that:
![1.5x + 0.75y = 1140](https://tex.z-dn.net/?f=1.5x%20%2B%200.75y%20%3D%201140)
System of equations:
The system of equations is:
![x + y = 1042](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%201042)
![1.5x + 0.75y = 1140](https://tex.z-dn.net/?f=1.5x%20%2B%200.75y%20%3D%201140)
3x-2=4.5 3x=4.5+2 x=2.17
-x+y/2=-1.25 y/2=-1.25+x y=-2.5+2x