2 times (9+7) is correct.
9 + 7 = 16.
16 multiplied by 2 is 32.
Answer:
The correct option is 3. The length of XC is 30.
Step-by-step explanation:
It is given that triangle ABC and triangle XYC are similar.
According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.
In triangle ABC and triangle XYC,
![\frac{AB}{XY}=\frac{BC}{YC}=\frac{AC}{XC}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BXY%7D%3D%5Cfrac%7BBC%7D%7BYC%7D%3D%5Cfrac%7BAC%7D%7BXC%7D)
Let the length of XC be x.
From the below figure it is notices that
![AC=AX+XC=18+x](https://tex.z-dn.net/?f=AC%3DAX%2BXC%3D18%2Bx)
![BC=BY+YC=6+10=16](https://tex.z-dn.net/?f=BC%3DBY%2BYC%3D6%2B10%3D16)
![\frac{16}{10}=\frac{18+x}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B10%7D%3D%5Cfrac%7B18%2Bx%7D%7Bx%7D)
![16x=180+10x](https://tex.z-dn.net/?f=16x%3D180%2B10x)
![6x=180](https://tex.z-dn.net/?f=6x%3D180)
![x=30](https://tex.z-dn.net/?f=x%3D30)
Therefore correct option is 3. The length of XC is 30.
Answer:
x=33
Step-by-step explanation:
............,.....
I believe y=x+2 and y=-x+3 are perpendicular lines.