High School

Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown to the right.

Answer :

The correct answer for the following diamond pattern problem is

  • A. 3 and 5 respectively
  • B. 3 and 1 respectively
  • C. 2 and 7 respectively
  • D. 1/6 and 5/6 respectively

Solving diamond patterned problem

The given diamond pattern is solved by multiplying the right and left number to give the top number. Then adding the right and left number to give the lower number.

A:

x × y = 15

x + y = 8

From (2)

x = 8 - y

x × y = 15

(8 - y) × y = 15

-y² + 8y = 15

-y² + 8y - 15 = 0

y² - 8y + 15 = 0

y² - 5y - 3y + 15 = 0

y(y - 5) - 3(y - 5) = 0

(y - 5) (y - 3) = 0

y = 5 or y = 3

When y = 5

Substitute into

x + y = 8

x + 5 = 8

x = 8 - 5

x = 3

When y = 3

Substitute into

x + y = 8

x + 3 = 8

x = 8 - 3

x = 5

B.

3 × 1 = 3

3 + 1 = 4

C.

5 × y = 10

5y = 10

y = 10/5

y = 2

5 × 2 = 10

5 + 2 = 7

D.

1/2 × 1/3 = 1/6

1/2 + 1/3 = (3+2) /6

= 5/6

The complete question is attached as an image

Read more on pattern problem:

https://brainly.com/question/17386984

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