Answer
with
Step-by-step explanation:
Statement Reasons
1.∠1 ≅ 4 Given
2.∠1 = ∠2 Being Vertically opposite angles.
3.∠4 = ∠3 Being Vertically opposite angles.
4.∠2 = 3 From Statement no 2 & 3, Transitive property.
5.∠2 ≅ 3 From Statement 4
Proved.
The weight of each fish would be multiplied by 10.
Assume the first time, the weight was 800 lb. Since there were 100 fish caught, the weight of each fish would be 800/100 = 8 lb.
This time, however, only 10 fish were caught. The weight would be 800/10 = 80 lb.
80 = 8(10), so the weight is 10 times more.
Answer:
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Step-by-step explanation:
Given:
Let,
point S( x₁ , y₁) ≡ ( -1 , 1)
point T( x₂ , y₂) ≡ (3 , -5)
Point M( x , y ) is the Mid point of segment ST.
To Find:
Point M( x , y )= ?
Solution:
As Point M( x , y ) is the Mid point of segment ST.
So we have Mid Point Formula as
![Mid\ pointM(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})](https://tex.z-dn.net/?f=Mid%5C%20pointM%28x%2Cy%29%3D%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%20%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%20%7D%7B2%7D%29)
On substituting the given values in above equation we get
![M(x,y)=(\frac {-1+3}{2},\frac{-5+1}{2})\\\\M(x,y)=(\frac{2}{2},\frac{-4}{2}) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}](https://tex.z-dn.net/?f=M%28x%2Cy%29%3D%28%5Cfrac%20%7B-1%2B3%7D%7B2%7D%2C%5Cfrac%7B-5%2B1%7D%7B2%7D%29%5C%5C%5C%5CM%28x%2Cy%29%3D%28%5Cfrac%7B2%7D%7B2%7D%2C%5Cfrac%7B-4%7D%7B2%7D%29%20%5C%5C%5C%5CM%28x%2Cy%29%3D%281%2C-2%29%5C%20%5Ctextrm%7Bwhich%20the%20required%20midpoint%7D)
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
$86.62 would be the total after 15% tax.