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Naily [24]
3 years ago
6

Using complete sentences, write an indirect proof proving that if x=30, then 3/4x+5≠20 (3/4 being three over four)

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
<span>hypothesis :-
 if x=30, then 3/4x+5≠20
 let Q:- x=30 P:- 3/4x+5≠20
 we need to prove if Q then P (Q →P)
 
proof :-
lets assume 34x+5=20 is true
now x=30
 so
  3/4(30)+5=27.5 ≠20
which is a contradiction
   
proved ^</span>
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First we have to calculate the least common multiple (LCM) of 24 and 30

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Answer:

<h3>\boxed{ \boxed{ \bold{ \sf{51.68  \: , \: 48.34 \:,  \: 80.02}}}}</h3>

Step-by-step explanation:

Let's solve:

As we know that the sum of angles of traingle adds to 180°

\sf{2y - 5 + y + 20 + 3y - 5 = 180}

Collect like terms

⇒\sf{6y - 5 + 20 - 5 = 180}

⇒\sf{6y   + 15 - 5 = 180}

⇒\sf{6y + 10 = 180}

Move constant to right hand side and change it's sign

⇒\sf{6y = 180 - 10}

Calculate the difference

⇒\sf{6y = 170}

Divide both sides of the equation by 6

⇒\sf{ \frac{6y}{6}  =  \frac{170}{6} }

Calculate

⇒\sf{y = 28.34}

Now, let's replace the value:

⇒\sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}

⇒\sf{y + 20 = 28.34  + 20 = 48.34}

⇒\sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}

Hope I helped!

Best regards!!

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