Solve similar triangles (advanced)

 18/7

This approximates to 2.5714

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Explanation:

The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.

Because , this means:

As those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.

From that, we can form the proportion below to solve for x

AB/AD = BC/DE

3/(3+4) = x/6

3/7 = x/6

3*6 = 7*x

18 = 7x

7x = 18

x = 18/7

You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: