Not sure but good luck 25•
Answer:
a) $175 b) It will be $126
Step-by-step explanation:
Cost price of 3 games= $140
Let the original price of games= $ x
Discount is given= 30%
According to question
x
= $140
x
= $140
x ×0.8= $140
x= $ ![\frac{$140}{0.8}](https://tex.z-dn.net/?f=%5Cfrac%7B%24140%7D%7B0.8%7D)
x= $175
Hence, the original price of games $ 140
(b) If Sam had given a discount of 20%
Again a discount = 10%
The price of games=$ 140
Now, the selling price will be= 175
×![\frac{(100-10)}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B%28100-10%29%7D%7B100%7D)
Now, the selling price will be= $ 126
Hence, the price will be different.
The length of YZ is 12.2
Explanation:
From the figure, it is obvious that the triangles XVW and ZYW are similar.
Since, the triangles are similar, then their sides are also proportional.
Also, given that the sides VY = YW and XZ = ZW which implies that XW = 2XZ = 2ZW.
Thus, we have,
![\frac{24.4}{YZ} =\frac{XW}{ZW}](https://tex.z-dn.net/?f=%5Cfrac%7B24.4%7D%7BYZ%7D%20%3D%5Cfrac%7BXW%7D%7BZW%7D)
Since, XW = 2ZW.
Substituting, we have,
![\frac{24.4}{YZ} =\frac{2ZW}{ZW}](https://tex.z-dn.net/?f=%5Cfrac%7B24.4%7D%7BYZ%7D%20%3D%5Cfrac%7B2ZW%7D%7BZW%7D)
Simplifying, we get,
![\frac{24.4}{YZ} =2](https://tex.z-dn.net/?f=%5Cfrac%7B24.4%7D%7BYZ%7D%20%3D2)
![\frac{24.4}{2} =YZ](https://tex.z-dn.net/?f=%5Cfrac%7B24.4%7D%7B2%7D%20%3DYZ)
Dividing, we get,
![12.2=YZ](https://tex.z-dn.net/?f=12.2%3DYZ)
Thus, the length of YZ is 12.2