Exceeding 7 means it is greater than 7.
So.... x > 7 LETTER C
Answer:
four is the right answer i think
1/3s+12=23
-12 on all sides
1/3s= 11
multiply reciprocal which is 3
s=33 <span />
![\bold{\huge{\green{\underline{ Solution}}}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Chuge%7B%5Cgreen%7B%5Cunderline%7B%20Solution%7D%7D%7D%7D)
![\bold{\underline{ Given :- }}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cunderline%7B%20Given%20%3A-%20%7D%7D)
- <u>We </u><u>have </u><u>given </u><u>a</u><u> </u><u>right</u><u> </u><u>angled </u><u>triangle </u><u>whose </u><u>values </u><u>are </u><u>m</u><u>, </u><u> </u><u>n </u><u>and </u><u>2</u><u> </u>
![\bold{\underline{ To \: Find :- }}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cunderline%7B%20To%20%5C%3A%20Find%20%3A-%20%7D%7D)
- <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>m </u><u>and </u><u>n</u>
![\bold{\underline{ Let's \: Begin :- }}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cunderline%7B%20Let%27s%20%5C%3A%20Begin%20%3A-%20%7D%7D)
<u>In </u><u>the </u><u>given </u><u>right </u><u>angled </u><u>triangle</u><u>, </u><u>we </u><u>have </u>
- Perpendicular height = n units
- Base = 2 units
- Hypotenuse = m units
<u>Now</u><u>, </u><u> </u><u>By </u><u>using </u><u>trigonometric </u><u>ratios </u>
![\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cpink%7B%20Sin%20%CE%A6%20%3D%20%7D%7D%7B%5Cbold%7B%5Cpink%7B%5Cfrac%7BPerpendicular%20%7D%7BHypotenuse%7D%7D%7D%7D)
![\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cred%7B%20Cos%20%CE%A6%20%3D%20%7D%7D%7B%5Cbold%7B%5Cred%7B%5Cfrac%7BBase%7D%7BHypotenuse%20%7D%7D%7D%7D)
![\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cblue%20%7B%20tan%20%CE%A6%20%3D%20%7D%7D%7B%5Cbold%7B%5Cblue%7B%5Cfrac%7BPerpendicular%20%7D%7BBase%20%7D%7D%7D%7D)
<u>According </u><u>to </u><u>the </u><u>question </u><u>:</u><u>-</u>
![\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}](https://tex.z-dn.net/?f=%5Cbold%7B%20Cos%20%5C%3A%2045%C2%B0%20%3D%20%7D%7B%5Cbold%7B%5Cfrac%7B2%7D%7Bm%7D%7D%7D)
![\bold{ 1/√2= }{\bold{\frac{2}{m}}}](https://tex.z-dn.net/?f=%5Cbold%7B%201%2F%E2%88%9A2%3D%20%7D%7B%5Cbold%7B%5Cfrac%7B2%7D%7Bm%7D%7D%7D)
![\bold{\red{ m = 2√2 \: units }}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cred%7B%20m%20%3D%202%E2%88%9A2%20%5C%3A%20units%20%7D%7D)
- <u>We </u><u>know </u><u>that </u><u>,</u><u> </u><u>Sum </u><u>of </u><u>Angles</u><u> </u><u>of </u><u>triangle </u><u>is </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u><u>.</u>
<u>Therefore</u><u>, </u>
Let the unknown angle be x
![\sf{ 45° + x + 90° = 180° }](https://tex.z-dn.net/?f=%5Csf%7B%2045%C2%B0%20%2B%20x%20%2B%2090%C2%B0%20%3D%20180%C2%B0%20%7D)
![\sf{ x = 180° - 135 ° }](https://tex.z-dn.net/?f=%5Csf%7B%20x%20%3D%20180%C2%B0%20-%20135%20%C2%B0%20%20%7D)
![\sf{ x = 45° }](https://tex.z-dn.net/?f=%5Csf%7B%20x%20%3D%2045%C2%B0%20%20%20%7D)
<u>Now</u><u>, </u>
![\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}](https://tex.z-dn.net/?f=%5Cbold%7B%20Cos%20%5C%3A%20x%C2%B0%20%3D%20%7D%7B%5Cbold%7B%5Cfrac%7Bn%7D%7B2%E2%88%9A2%7D%7D%7D)
![\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}](https://tex.z-dn.net/?f=%5Cbold%7B%20Cos%20%5C%3A%2045%C2%B0%20%3D%20%7D%7B%5Cbold%7B%5Cfrac%7Bn%7D%7B2%E2%88%9A2%7D%7D%7D)
![\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}](https://tex.z-dn.net/?f=%5Cbold%7B%201%2F%E2%88%9A2%3D%20%7D%7B%5Cbold%7B%5Cfrac%7Bn%7D%7B2%E2%88%9A2%7D%7D%7D)
![\bold { n = 2√2/√2 }](https://tex.z-dn.net/?f=%5Cbold%20%7B%20n%20%3D%202%E2%88%9A2%2F%E2%88%9A2%20%20%7D)
![\bold{\red{ n = 2\: units }}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cred%7B%20n%20%3D%202%5C%3A%20units%20%7D%7D)
Thus, The value of m = 2√2 and n = 2
![\sf{\blue{ Hence, \: option \: D \: is \: Correct }}](https://tex.z-dn.net/?f=%5Csf%7B%5Cblue%7B%20Hence%2C%20%5C%3A%20option%20%5C%3A%20D%20%5C%3A%20is%20%5C%3A%20Correct%20%7D%7D)