Question

consider kite fghj. what are the values of a and b? a = 14, b = 6 a = 14, b = 8 a = 17, b = 6

Explanation:

1. First, recall the properties of a kite:

• In a kite, two - pairs of adjacent sides are equal. Let's assume that in kite \(FGHJ\), \(FG = FH\) and \(GH=GJ\).
• If we assume that the two - equal adjacent sides give us the following equations based on the side - length expressions:
• Let's assume \(2a - 4=30\) (equating two adjacent sides).
• Solve the equation \(2a−4 = 30\) for \(a\):
• Add 4 to both sides of the equation: \(2a=30 + 4=34\).
• Divide both sides by 2: \(a = 17\).
• Now, assume \(3b+6 = 24\) (equating the other pair of adjacent sides).
• Subtract 6 from both sides of the equation: \(3b=24 - 6 = 18\).
• Divide both sides by 3: \(b = 6\).

1. Check the multiple - choice options:

• The option that has \(a = 17\) and \(b = 6\) is the correct one.

Answer:

a = 17, b = 6