Step-by-step explanation:
19 is the greatest value
The assumption here is that, both triangles are similar. Now, if that's the case,
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{small}{large}\qquad \cfrac{25}{35}\implies \stackrel{simplified}{\cfrac{5}{7}}\qquad \qquad \cfrac{5}{7}=\cfrac{\sqrt{270}}{\sqrt{x}}\implies \cfrac{5}{7}=\sqrt{\cfrac{270}{x}} \\\\\\ \left( \cfrac{5}{7} \right)^2=\cfrac{270}{x}\implies \cfrac{5^2}{7^2}=\cfrac{270}{x}\implies x=\cfrac{7^2\cdot 270}{5^2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%5Ctextit%7Bsimilar%20shape%7D%7D%7B%5Ctextit%7Bsimilar%20shape%7D%7D%5Cqquad%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%7Bs%5E2%7D%7D%7B%5Csqrt%7Bs%5E2%7D%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bsmall%7D%7Blarge%7D%5Cqquad%20%5Ccfrac%7B25%7D%7B35%7D%5Cimplies%20%5Cstackrel%7Bsimplified%7D%7B%5Ccfrac%7B5%7D%7B7%7D%7D%5Cqquad%20%5Cqquad%20%5Ccfrac%7B5%7D%7B7%7D%3D%5Ccfrac%7B%5Csqrt%7B270%7D%7D%7B%5Csqrt%7Bx%7D%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B7%7D%3D%5Csqrt%7B%5Ccfrac%7B270%7D%7Bx%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%28%20%5Ccfrac%7B5%7D%7B7%7D%20%5Cright%29%5E2%3D%5Ccfrac%7B270%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B5%5E2%7D%7B7%5E2%7D%3D%5Ccfrac%7B270%7D%7Bx%7D%5Cimplies%20x%3D%5Ccfrac%7B7%5E2%5Ccdot%20270%7D%7B5%5E2%7D)
Answer:
v <u>></u> 14 I believe.
Step-by-step explanation:
He already has 65 points.
240-65=175
He just needs 175 more points.
175/12.5 = 14.
He'll need to visit 14 or more times to get his free movie ticket.
I could be wrong. But I'm pretty sure.
Which one do you need help with?
