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scoundrel [369]
4 years ago
6

Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon's age and j + 3 represents Laura's ag

e, what value of j
could be Jon's age?
Mathematics
1 answer:
Serga [27]4 years ago
8 0

Answer:

35

Step-by-step explanation:

j(j + 3) = 1330

Trial and error method:

j and j + 3 are pretty close to each other. Start by taking the square root of 1330.

sqrt(1330) = 36.5. One number is less than 36.5 and the other number if 3 more than that.

Since the product of j and j + 3 is 1330 which ends in 0, it is a multiply of 10 and 5.

Try 35 and 38. 35 * 38 = 1330

Answer: 35

Equation method:

j(j + 3) = 1330

j^2 + 3j - 1330 = 0

(j + 38)(j - 35) = 0

j = -38 or j = 35

Answer: 35

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A is the correct answer
(to find diagonal of a square , you can get help from Pythagorean Theorem)

{10}^{2}  + 10 {}^{2}  =  {x}^{2}  \\ 100 + 100 =  {x}^{2}  \\  {x}^{2}  = 200 \\ x =  \sqrt{200}




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kati45 [8]

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find x, we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.

This means that 9 should also be the side length of side AD, which we're given a value of x/3.

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