Chap:Quads Assign: 3+C1.) Given Kite ADEC Find ABCB=3x+6 BD =8x−9AB=7x−1Find AB2.) Given Kite ABCD Find X and YFind m<D=6.)Find X and Y7.) Given Kite ABCD8.)Find AB3AB4AB510.)8.)11.)9.)
Q. Chap:Quads Assign: 3+C1.) Given Kite ADEC Find ABCB=3x+6 BD =8x−9AB=7x−1Find AB2.) Given Kite ABCD Find X and YFind m<D=6.)Find X and Y7.) Given Kite ABCD8.)Find AB3AB4AB510.)8.)11.)9.)
Identify kite properties: Since ADEC is a kite, we know that AB=AD. Given AB=7x−1 and CB=3x+6, we can set up an equation because AB+CB=AC, which is a diagonal and equals BD.
Set up equation: Write down the equation: AB+CB=BD. Substitute the given expressions: (7x−1)+(3x+6)=8x−9.
Combine like terms: Combine like terms: 10x+5=8x−9.
Subtract 8x: Subtract 8x from both sides: 2x+5=−9.
Subtract 5: Subtract 5 from both sides: 2x=−14.
Divide by 2: Divide both sides by 2: x=−7.
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