Mathematics: New Tab Solve the following for x (5x+6)/(8x+5) X=

A. S(n) =11+4nStep-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn....

New Tab Solve the following for x (5x+6)/(8x+5) X= - id56858506609, imogengrzemskip4rq0p

Caleb0018

06.02.2022

∠(5x + 6)° and ∠(8x + 5)° are a linear pair, which means their sum will add upto 180° .

Which means :-

= 5x + 6 + 8x + 5 = 180

= 13x + 6 + 5 = 180

= 13x + 11 = 180

= 13x = 180 - 11

= 13x = 169

$= x = \frac{169}{13}$

$\implies\color{olive} {\: x =\color{hotpink} 13}$

Then :-

∠(5x + 6)° :-

$= 5 \times 13 + 6$

= 65 + 6

$\color{olive}∠(5x + 6)°\color{hotpink} = 71°$

∠(8x + 5)° :-

$= 8 \times 13 + 5$

= 104 + 5

$\color{olive}∠(8x + 5)°\color{hotpink} = 109°$

As the measure of both angles are adding up to form 180° (71+109=180), we can conclude that we have found out the correct value of x .

Therefore , the value of :-

$\boxed{\color{hotpink}x = \bold13}$

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