Answer:
The width of rectangle is
or ![8\frac{4}{13}\ cm](https://tex.z-dn.net/?f=8%5Cfrac%7B4%7D%7B13%7D%5C%20cm)
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to
![P=2(L+W)](https://tex.z-dn.net/?f=P%3D2%28L%2BW%29)
where
L is the length of rectangle
W is the width of rectangle
we have
![P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm](https://tex.z-dn.net/?f=P%3D26%5C%20cm%5C%5CL%3D%28x%2B4%29%5C%20cm%5C%5CW%3D12x%5C%20cm)
substitute
![26=2(x+4+12x)](https://tex.z-dn.net/?f=26%3D2%28x%2B4%2B12x%29)
solve for x
![26=2(13x+4)](https://tex.z-dn.net/?f=26%3D2%2813x%2B4%29)
![26=26x+8](https://tex.z-dn.net/?f=26%3D26x%2B8)
![26x=26-8](https://tex.z-dn.net/?f=26x%3D26-8)
![26x=18](https://tex.z-dn.net/?f=26x%3D18)
![x=\frac{18}{26}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B26%7D)
simplify
![x=\frac{9}{13}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B13%7D)
<em>Find the width of rectangle</em>
![W=12x\ cm](https://tex.z-dn.net/?f=W%3D12x%5C%20cm)
substitute the value of x
![W=12(\frac{9}{13})=\frac{108}{13}\ cm](https://tex.z-dn.net/?f=W%3D12%28%5Cfrac%7B9%7D%7B13%7D%29%3D%5Cfrac%7B108%7D%7B13%7D%5C%20cm)
Convert to mixed number
![\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm](https://tex.z-dn.net/?f=%5Cfrac%7B108%7D%7B13%7D%5C%20cm%3D%5Cfrac%7B104%7D%7B13%7D%2B%5Cfrac%7B4%7D%7B13%7D%3D8%5Cfrac%7B4%7D%7B13%7D%5C%20cm)
It will be D. because you have to add the like terms which is 13 + 5 which will be 18 and so 10p doesn't have no like terms it just stays the same so it will be 10p+18
Hope this helps! Answer: k = 2f/p
Answer:
m/0.75
Step-by-step explanation:
75% as a decimal is 0.75.
Divide m, her previous time by 0.75 to see how long it takes her now.
m/0.75 is your expression
Solution:
we have been asked to find the true statement about the exterior angle from the given statements.
As we know that the exterior angles are always out of the triangle and it makes a sum of 180 with anyone of the internal angle of the triangle.
The pair lies on the same straight line and makes a pair.
Hence we can say that it is formed by a linear pair with one of the interior angles of the triangle.
Hence the correct option is D.