It cost $5 for his brother's ticket.
Step-by-step explanation:
Let,
Micheal's ticket price= x
His brother ticket price = y
According to given statement;
x+y=12 Eqn 1
y = x-2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
![x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\](https://tex.z-dn.net/?f=x%2B%28x-2%29%3D12%5C%5Cx%2Bx-2%3D12%5C%5C2x%3D12%2B2%5C%5C2x%3D14%5C%5C)
Dividing both sides by 2;
![\frac{2x}{2}=\frac{14}{2}\\x=7](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B14%7D%7B2%7D%5C%5Cx%3D7)
Putting x=7 in Eqn 2
![y=7-2\\y=5](https://tex.z-dn.net/?f=y%3D7-2%5C%5Cy%3D5)
It cost $5 for his brother's ticket.
Keywords: linear equation, substitution method
Learn more about linear equations at:
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Answer:
Y= -2x +40
Step-by-step explanation:
Answer:
ABC~WXY by AA
Step-by-step explanation:
In ΔABC
∠B = 90°
∠A = 27°
To Find ∠C
Angle sum property: The sum of all angles of triangle is 180°
∠A+∠B+∠C=180°
27°+90°+∠C=180°
∠C=180°-117°
∠C=63°
In ΔWXY
∠X = 90°
∠Y = 63°
We will use angle sum property
So, ∠W+∠Y+∠X=180°
90°+63°+∠W=180°
∠W=180°-(90°+63°)
∠W=27°
So, ∠A=∠W
∠B =∠X
∠C = ∠Y
So, ABC~WXY by Angle - Angle property.
Hence ABC~WXY by AA