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nikdorinn [45]
3 years ago
6

Easy math question please help

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

135 = x

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to and exterior angle that is supplementary to the third interior angles

88 + 47 = x

135 = x

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Find the LCM of 40a2b and 48ab4.​
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Step-by-step explanation:

40a²b =  2* 2 * 2 * 5 * a² * b      =  2³ * 5 * a² * b

48ab⁴ = 2 * 2 * 2 * 2 * 3 * a *b⁴  = 2⁴ *  3 * a * b⁴

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Pipe A can fill a tank in 5 hours. Pipe B can fill it in 2 hours less time than it takes pipe C, a draining pipe, to empty the t
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Answer: Time taken by pipe C to empty the tank = 5 hours.

Step-by-step explanation:

Pipe A can fill a tank in 5 hours.

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Now, with all 3 pipes open, it takes 3 hours to fill the tank, it can be represented as

\dfrac15+\dfrac1{x-2}-\dfrac1x=\dfrac 13\\\\\Rightarrow\ \dfrac{x-(x-2)}{x(x-2)}=\dfrac13-\dfrac15\\\\\Rightarrow\ \dfrac{x-x+2}{x^2-2x}=\dfrac{5-3}{15}\\\\\Rightarrow \dfrac{2}{x^2-2x}=\dfrac2{15}\\\\\Rightarrow\ x^2-2x=15\\\\\Rightarrow\ x^2-2x-15=0\\\\\Rightarrrow\ x^2-5x+3x-15=0\\\\\Rightarrow\ x(x-5)+3(x-5)=0\\\\\Rightarrow\ (x-5)(x+3)=0\\\\\Rightarrow\ x=5, -3

Time cannot be negative,

So, x=5

Thus, Time taken by pipe C to empty the tank = 5 hours.

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Step-by-step explanation:

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