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Chap:Quads Assign: 
3+C
1.) Given Kite ADEC Find 
AB

CB=3x+6 BD 
=8x-9 
AB=7x-1
Find 
AB
2.) Given Kite 
ABCD Find 
X and 
Y
Find 
m < D=
6.)
Find 
X and 
Y
7.) Given Kite 
ABCD
8.)
Find 
m < ABC 
m < CED 
m < CEB
10.)
8.)
11.)
9.)

Chap:Quads Assign: 3+C 3+C \newline11.) Given Kite ADEC Find AB A B \newlineCB=3x+6 \mathrm{CB}=3 \mathrm{x}+6 BD =8x9 =8 \mathrm{x}-9 AB=7x1 A B=7 x-1 \newlineFind AB A B \newline22.) Given Kite ABCD A B C D Find X X and Y Y \newlineFind m<D= \mathrm{m}<\mathrm{D}= \newline66.)\newlineFind X X and Y Y \newline77.) Given Kite ABCD A B C D \newline88.)\newlineFind AB A B 33 AB A B 44 AB A B 55\newline1010.)\newline88.)\newline1111.)\newline99.)

Full solution

Q. Chap:Quads Assign: 3+C 3+C \newline11.) Given Kite ADEC Find AB A B \newlineCB=3x+6 \mathrm{CB}=3 \mathrm{x}+6 BD =8x9 =8 \mathrm{x}-9 AB=7x1 A B=7 x-1 \newlineFind AB A B \newline22.) Given Kite ABCD A B C D Find X X and Y Y \newlineFind m<D= \mathrm{m}<\mathrm{D}= \newline66.)\newlineFind X X and Y Y \newline77.) Given Kite ABCD A B C D \newline88.)\newlineFind AB A B 33 AB A B 44 AB A B 55\newline1010.)\newline88.)\newline1111.)\newline99.)
  1. Identify kite properties: Since ADECADEC is a kite, we know that AB=ADAB = AD. Given AB=7x1AB = 7x - 1 and CB=3x+6CB = 3x + 6, we can set up an equation because AB+CB=ACAB + CB = AC, which is a diagonal and equals BDBD.
  2. Set up equation: Write down the equation: AB+CB=BDAB + CB = BD. Substitute the given expressions: (7x1)+(3x+6)=8x9(7x - 1) + (3x + 6) = 8x - 9.
  3. Combine like terms: Combine like terms: 10x+5=8x910x + 5 = 8x - 9.
  4. Subtract 8x8x: Subtract 8x8x from both sides: 2x+5=92x + 5 = -9.
  5. Subtract 55: Subtract 55 from both sides: 2x=142x = -14.
  6. Divide by 22: Divide both sides by 22: x=7x = -7.

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