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Answer:
6cm ; 22cm
Step-by-step explanation:
Given that:
Total Length, AD = 28cm
AB =x cm
BC = (x +5)cm
CD = 2x - 1 cm
4x + 4 = 28
4x = 28 - 4
4x = 24
x = 24 / 4
x = 6cm
The length of BD
BD = BC + CD
BD = (x + 5) + (2x - 1)
x = 6
BD = (6 + 5) + (2(6) - 1)
BD = 11 + (12 - 1)
BD = 11 + 11
BD = 22 cm
Answer:
2, 4
Step-by-step explanation:
Let there are two unknown consecutive pairs of even integers 2n and 2n+2.
If the sum of the reciprocals of those two integers is 3/4, then we can write,
1/2n +1/(2n+2) =3/4 ...... (1)
Solving this above equation we can check whether the integers exist or not.
Now, from equation (1) we get,
1/n +1/(n+1) =3/2
⇒
⇒4n +2 =3n²+3n
⇒3n²-n-2 =0
⇒ (n-1)(3n+2) =0
⇒ (n-1) =0 {Since if (3n+2) =0 then, n will be a negative fraction, which is not possible}
⇒ n=1
∴ 2n =2 and 2n+2 =4
Hence, the two integers are 2, 4. (Answer)