Answer:
x = 71
Step-by-step explanation:
x + 25 = 96
=> x = 96 - 25
=> x = 71
381 1/10- 214 43/100= 166 67/100
Answer:
x^2 - 8xy + 3y^2 - 2
Step-by-step explanation:
(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2
- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2
- unknown = -x^2 + 8xy - 3y^2 + 2
Unknown = x^2 - 8xy + 3y^2 - 2
Check:
(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)
= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2
= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2
= x^2 + 2
Answer:
![A+B+C=130](https://tex.z-dn.net/?f=A%2BB%2BC%3D130)
![F+E+D=273](https://tex.z-dn.net/?f=F%2BE%2BD%3D273)
Step-by-step explanation:
From the question we are told that:
Dimension of ABC
A=9
B=11
C=110
Dimension of FED
D=231
Generally the equation for the similar triangles is mathematically given by
![\frac{A}{F}=\frac{B}{E}=\frac{C}{D}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7BF%7D%3D%5Cfrac%7BB%7D%7BE%7D%3D%5Cfrac%7BC%7D%7BD%7D)
Therefore solving for F
![\frac{9}{F}=\frac{110}{231}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7BF%7D%3D%5Cfrac%7B110%7D%7B231%7D)
![F=\frac{9*231}{110}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%2A231%7D%7B110%7D)
![F=18.9](https://tex.z-dn.net/?f=F%3D18.9)
Therefore solving for E
![\frac{11}{E}=\frac{110}{231}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7BE%7D%3D%5Cfrac%7B110%7D%7B231%7D)
![E=\frac{11*231}{110}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B11%2A231%7D%7B110%7D)
![E=23.1](https://tex.z-dn.net/?f=E%3D23.1)
Measure of ![\triangle ABC](https://tex.z-dn.net/?f=%5Ctriangle%20ABC)
![A+B+C=130](https://tex.z-dn.net/?f=A%2BB%2BC%3D130)
Measure of ![\triangle FED](https://tex.z-dn.net/?f=%5Ctriangle%20FED)
![F+E+D=273](https://tex.z-dn.net/?f=F%2BE%2BD%3D273)