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Yanka [14]
2 years ago
10

25 points! Please help! Will give brainliest to correct answer!

Mathematics
2 answers:
Elena L [17]2 years ago
6 0

Answer:

I think AC is 6.

Step-by-step explanation:

This looks like an equilateral triangle so that means because there is a 3 on  one side of the line it should be the same on the other side of the line so 3 x 2 = 6.

Angelina_Jolie [31]2 years ago
4 0

Step-by-step explanation:

triangle \: abd \\ using \: pythagoras \: theorem \\  {hyp}^{2} =  {adj}^{2} +  {opp}^{2}  \\   {12}^{2}  =  {3}^{2} +  {opp}^{2}  \\ 144 = 9 +  {x}^{2}  \\ 144 - 9 =  {x}^{2}  \\ 135 =  {x}^{2} \\ take \: the \: square \: of \: both \: sides \\x = 11.62

using the opposite side of triangle and

using \: pythagoras \: theorem \\  {16}^{2} =  {11.62}^{2} +  {x}^{2} \\ 256 = 135.02 +  {x}^{2}  \\ 256 - 135.02 =  {x}^{2}  \\ 120.198 =  {x}^{2}  \\ take \: the \: roots \: of \: both \: sides \\ x = 10.96

therefore the length of line AC

= 3 + 10.96 \\  = 13.96

hope this helps

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David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.
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Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.  

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

9x=2x+80

Now let us solve for x.

9x-2x=80

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x=\frac{80}{7}

Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).

\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}

Upon cancelling out 7 from numerator and denominator we will get,

\text{ Amount of money that Egil will get}=80  

Therefore, Egil will get $80.    

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