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3 years ago

The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

Ans: the numbers are: 4,6 and 8.

Let the three consecutive positive even integers be n, n+2, and n+4

According to the given problem, The sum of squares of three consecutive positive even integers is 116

Therefore, check the image for the factorization part:

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3 years ago

SM=3x−4, and RN=9x−20. Find the value of x

Rudik [331]

Answer:

Option (A).

Step-by-step explanation:

Given question is incomplete; find the complete question with the attachment.

In the triangle NRL,

Points P, S and M are the midpoints of the sides NR, RL and LN respectively.

Sides SM = (3x - 4), NR = (9x - 20)

By the theorem of midpoints in a triangle,

SM = $\frac{1}{2}\text{NR}$

(3x - 4) = $\frac{1}{2}(9x-20)$

6x - 8 = 9x - 20

9x - 6x = 20 - 8

3x = 12

x = 4

Therefore, Option (A) will be the answer.

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3 years ago