3y= 21
I think 3y would be 21 because in the equation, 5y+13=48, y= 7. So if we know that y is 7 that’ll mean we’ll use 7 to interpret y for 3y.
Answer:
84°
Step-by-step explanation:
![\because (13n - 16) \degree + (7n + 12) \degree + (6n)\degree \\= 360\degree \\ \\ \therefore \: (26n - 4) \degree= 360\degree \\ \\ \therefore \: 26n - 4= 360 \\ \\ \therefore \: 26n = 360 + 4 \\ \\ \therefore \: 26n = 364 \\ \\ \therefore \: n = \frac{364}{26} \\ \\ \therefore \: n = 14 \\ \\\because m\overset { \frown}{BC} = (6n)°\\ \\\therefore \:m \overset { \frown}{BC} =(6\times 14)° \\ \\ \huge \purple {\boxed {\therefore \:m\overset { \frown}{BC}= 84°}} \\](https://tex.z-dn.net/?f=%5Cbecause%20%2813n%20-%2016%29%20%5Cdegree%20%2B%20%287n%20%20%2B%2012%29%20%5Cdegree%20%2B%20%286n%29%5Cdegree%20%5C%5C%3D%20360%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%2826n%20-%204%29%20%5Cdegree%3D%20360%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%2026n%20-%204%3D%20360%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%2026n%20%3D%20360%20%2B%204%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%2026n%20%3D%20364%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20n%20%3D%20%20%5Cfrac%7B364%7D%7B26%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20n%20%3D%20%2014%20%5C%5C%20%20%5C%5C%5Cbecause%20%20m%5Coverset%20%7B%20%5Cfrown%7D%7BBC%7D%20%3D%20%286n%29%C2%B0%5C%5C%20%20%5C%5C%5Ctherefore%20%5C%3Am%20%5Coverset%20%7B%20%5Cfrown%7D%7BBC%7D%20%3D%286%5Ctimes%2014%29%C2%B0%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cpurple%20%7B%5Cboxed%20%7B%5Ctherefore%20%5C%3Am%5Coverset%20%7B%20%5Cfrown%7D%7BBC%7D%3D%2084%C2%B0%7D%7D%20%5C%5C%20)
For this one your answer is -309
Answer:I think the answer is 6x because
18= 6x3
42= 6x7
30= 6x5
Step-by-step explanation:
18= 6x3
42= 6x7
30= 6x5 And 6x(3x+7x^3+5x^4) it became 18x^2+42x^4+30x^5
Answer:
1) 11![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
2) 2
3) ![20\sqrt{3} + 15\sqrt{2}](https://tex.z-dn.net/?f=20%5Csqrt%7B3%7D%20%20%2B%2015%5Csqrt%7B2%7D)
4) ![53 + 12\sqrt{10}](https://tex.z-dn.net/?f=53%20%2B%2012%5Csqrt%7B10%7D)
5) -2
6) ![7\sqrt{2} - 5\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D%20%20-%205%5Csqrt%7B3%7D)
Step-by-step explanation:
1) 2
+ 3
- ![\sqrt{75}](https://tex.z-dn.net/?f=%5Csqrt%7B75%7D)
=(2 × 2
)+ (3 × 4
) - 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
= 4
+ 12
- 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
= 11![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
2) 4
-2
+ ![\sqrt{128}](https://tex.z-dn.net/?f=%5Csqrt%7B128%7D)
= (4 × 2
) - (2 × 7
) + 8![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
= 8
- 14
+8
= 2
3) 5
- 3![\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%20%2B%204%20%5Csqrt%7B72%7D%20%20%2B2%5Csqrt%7B75%7D)
= 5×
- 3×
+ 4×
+ 2×![5\sqrt{3}](https://tex.z-dn.net/?f=5%5Csqrt%7B3%7D)
= ![10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}](https://tex.z-dn.net/?f=10%5Csqrt%7B3%7D%20-%209%5Csqrt%7B2%7D%20%2B24%5Csqrt%7B2%7D%20%2B10%5Csqrt%7B3%7D)
= ![20\sqrt{3} + 15\sqrt{2}](https://tex.z-dn.net/?f=20%5Csqrt%7B3%7D%20%20%2B%2015%5Csqrt%7B2%7D)
4) ![(2\sqrt{2} + 3\sqrt{5} )^{2}](https://tex.z-dn.net/?f=%282%5Csqrt%7B2%7D%20%20%2B%203%5Csqrt%7B5%7D%20%29%5E%7B2%7D)
= ![8 + 12\sqrt{10} + 45](https://tex.z-dn.net/?f=8%20%2B%2012%5Csqrt%7B10%7D%20%2B%2045)
= ![53 + 12\sqrt{10}](https://tex.z-dn.net/?f=53%20%2B%2012%5Csqrt%7B10%7D)
5) ![(1+\sqrt{3} ) (1-\sqrt{3} )](https://tex.z-dn.net/?f=%281%2B%5Csqrt%7B3%7D%20%29%20%281-%5Csqrt%7B3%7D%20%29)
= ![1 - 3](https://tex.z-dn.net/?f=1%20-%203)
= -2
6) ![(2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )](https://tex.z-dn.net/?f=%282%5Csqrt%7B6%7D%20-1%29%20%28%5Csqrt%7B3%7D%20-%5Csqrt%7B2%7D%20%20%29)
= ![2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}](https://tex.z-dn.net/?f=2%5Csqrt%7B18%7D-2%5Csqrt%7B12%7D%20%20-%5Csqrt%7B3%7D%20%20%2B%5Csqrt%7B2%7D)
= 2×
- 2×
- ![\sqrt{3} + \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%2B%20%5Csqrt%7B2%7D)
= ![6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}](https://tex.z-dn.net/?f=6%5Csqrt%7B2%7D%20%20-%204%5Csqrt%7B3%7D%20-%5Csqrt%7B3%7D%20%2B%5Csqrt%7B2%7D)
= ![7\sqrt{2} - 5\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D%20%20-%205%5Csqrt%7B3%7D)
Hope the working out is clear and will help you. :)