Answer:
x = 10
Step-by-step explanation:
Use CPCTC (Corresponding parts of congruent triangles are congruent).
Set the ratios:
![\frac{6.5}{5} = \frac{6.5 + 6.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B6.5%7D%7B5%7D%20%3D%20%5Cfrac%7B6.5%20%2B%206.5%7D%7Bx%7D)
First, simplify. Combine like terms:
![\frac{6.5}{5} = \frac{13}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B6.5%7D%7B5%7D%20%3D%20%5Cfrac%7B13%7D%7Bx%7D)
Next, cross multiply.
![5 * x * \frac{6.5}{5} = \frac{13}{x} * x * 5\\x * 6.5 = 13 * 5\\6.5x = 65\\](https://tex.z-dn.net/?f=5%20%2A%20x%20%2A%20%5Cfrac%7B6.5%7D%7B5%7D%20%20%3D%20%5Cfrac%7B13%7D%7Bx%7D%20%2A%20x%20%2A%205%5C%5Cx%20%2A%206.5%20%3D%2013%20%2A%205%5C%5C6.5x%20%3D%2065%5C%5C)
Isolate the variable, x. Divide 6.5 from both sides of the equation:
![\frac{(6.5x)}{6.5} = \frac{(65)}{6.5} \\\\x = \frac{65}{6.5}\\x = 10](https://tex.z-dn.net/?f=%5Cfrac%7B%286.5x%29%7D%7B6.5%7D%20%3D%20%5Cfrac%7B%2865%29%7D%7B6.5%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B65%7D%7B6.5%7D%5C%5Cx%20%3D%20%2010)
Check:
![\frac{5}{6.5} = \frac{x}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6.5%7D%20%3D%20%5Cfrac%7Bx%7D%7B13%7D)
Plug in 10 for x (Your answer). Cross multiply, then simplify:
![\frac{5}{6.5} = \frac{10}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6.5%7D%20%3D%20%5Cfrac%7B10%7D%7B13%7D)
![13 * 6.5 * \frac{5}{6.5} = \frac{10}{13} * 13 * 6.5](https://tex.z-dn.net/?f=13%20%2A%206.5%20%2A%20%5Cfrac%7B5%7D%7B6.5%7D%20%3D%20%5Cfrac%7B10%7D%7B13%7D%20%2A%2013%20%2A%206.5)
![13 * 5 = 10 * 6.5](https://tex.z-dn.net/?f=13%20%2A%205%20%3D%2010%20%2A%206.5)
(True).
~
Answer: 394.6 m^3
Step-by-step explanation:
-
It would be 6. for an example (3+2+1=6 | 3*2*1=6)
Answer:
The answer is B
Step-by-step explanation:
The opposite of the opposite of the number is the number itself
-(- turns positive
Lwh=volume (12)(12)(10) 144(10) =1,440
hope this helped have a great day!!