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alukav5142 [94]
3 years ago
7

Can u help me in this problem. i don't know how to do it​

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0

Answer:

x=11

Step-by-step explanation:

  • The angles directly opposite 80 and 60 are also 80 and 60 respectively, because they are vertical angles
  • Now the triangle we see there, on the bottom left corner the angle is 80 degrees and the bottom right the angle is 60 degrees
  • Theorem states that the sum of angles in a triangle is 180 degrees
  • So 80 degrees plus 60 degrees plus the angle (x+51) is equal to 180
  • 80+60+(x+51)=180\\x+80+60+51=180\\x+191=180\\x+191-(191)=180-(191)\\x=11
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3 years ago
Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t
liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

\textrm{The percentage of John's Votes }  = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }}  \times 100

= \frac{m}{10m}  \times 100 = 10

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.

3 0
4 years ago
You have nine books that you want to arrange on a book shelf. How many different ways can you arrange the books on one shelf?
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Hello!

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3 years ago
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Ghella [55]

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Step-by-step explanation:

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15 is still factorable.  We get:

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4 years ago
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