Question

a)
♦ = 2 ♦ = 2 ♦ = 2 ♦ = 2 hexagon = 6 hexagon = 6 = 12
♦ = 2 hexagon = 6

Explanation:

Step1: Calculate left - side total

We know that a diamond (\(\diamondsuit\)) is 2 and there are 3 diamonds, and a hexagon (\(\hexagon\)) is 6 and there is 1 hexagon. So the total value of the left - side is \(3\times2 + 6\).
First, calculate \(3\times2=6\), then \(6 + 6 = 12\).

Step2: Calculate right - side total

There are 2 hexagons, and each hexagon is 6. So the total value of the right - side is \(2\times6=12\).
Since the left - side total (\(12\)) is equal to the right - side total (\(12\)), the value of the diamond is correct as 2.

Answer:

The value of the diamond (\(\diamondsuit\)) is 2.