Answer:
Step-by-step explanation:
π/2= 1.5707963267948966192313
0.5π = 1.5707963267948966192313
The correct answer is same
To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.
Sides:
![d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}](https://tex.z-dn.net/?f=d_%7BRM%7D%3D%5Csqrt%7B%28-4-1%29%5E2%2B%285-4%29%5E2%7D)
![=\sqrt{(-5)^2+(1)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28-5%29%5E2%2B%281%29%5E2%7D)
![=\sqrt{25+1}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%2B1%7D)
![=\sqrt{26}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B26%7D)
![d_{MB}=\sqrt{(1-2)^2+(4+1)^2}](https://tex.z-dn.net/?f=d_%7BMB%7D%3D%5Csqrt%7B%281-2%29%5E2%2B%284%2B1%29%5E2%7D)
![=\sqrt{(-1)^2+(15)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28-1%29%5E2%2B%2815%29%5E2%7D)
![=\sqrt{1+25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B1%2B25%7D)
![=\sqrt{26}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B26%7D)
![d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}](https://tex.z-dn.net/?f=d_%7BBS%7D%3D%5Csqrt%7B%282%2B3%29%5E2%2B%28-1-0%29%5E2%7D)
![=\sqrt{(5)^2+(-1)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%285%29%5E2%2B%28-1%29%5E2%7D)
![=\sqrt{25+1}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B25%2B1%7D)
![=\sqrt{26}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B26%7D)
![d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}](https://tex.z-dn.net/?f=d_%7BSR%7D%3D%5Csqrt%7B%28-3%2B4%29%5E2%2B%280-5%29%5E2%7D)
![=\sqrt{(1)^2+(-5)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%281%29%5E2%2B%28-5%29%5E2%7D)
![=\sqrt{1+25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B1%2B25%7D)
![=\sqrt{26}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B26%7D)
≅
≅
≅ ![\overline{SR}](https://tex.z-dn.net/?f=%5Coverline%7BSR%7D)
Diagonals:
Use the slope formula: ![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m_{RB}=\dfrac{5+1}{-4-2}](https://tex.z-dn.net/?f=m_%7BRB%7D%3D%5Cdfrac%7B5%2B1%7D%7B-4-2%7D)
![=\dfrac{6}{-6}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B6%7D%7B-6%7D)
= -1
![m_{MS}=\dfrac{4-0}{1+3}](https://tex.z-dn.net/?f=m_%7BMS%7D%3D%5Cdfrac%7B4-0%7D%7B1%2B3%7D)
![=\dfrac{4}{4}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B4%7D%7B4%7D)
= 1
Slopes are opposite reciprocals so they are perpendicular.
***************************************************************************
All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.
First divide 93 by 3 to get 25% of the original price: 31. Then multiply it by 4 to get the whole original price, which is $124. Now onto the shoes.
Divide 119 by 17 to get 7, which is 5% of the original price for the shoes. Then multiply 7 by 20, which is $140 for shoes.
Subtract 124-93 to get 31, the savings on the dress and also subtract
140-119 to get 21, savings on the shoes. Then add them together to get a grand savings total of $52 in savings. Hope this helps!
Step by step explanation:
X + y=25
-y. -y
X=25-y
3x +4y= 90
3(25-y) =90
75-3y=90
-75. -75
-3y =15
/-3. /-3
Y=-5
X=25-(-5)
X= 25+5
X=30
Answer:
x in (-oo:+oo)
x = n/m-k // - n/m-k
k-(n/m)+x = 0
k-(m^-1*n)+x = 0 // - k-(m^-1*n)
x = -(k-(m^-1*n))
x = m^-1*n-k
x = m^-1*n-k
Step-by-step explanation: