Find the values of the variable and the lenghts of the sides of this kite. Left top is y-3 right top is x+2 bottom left is 2x+2bottom right is x+11 i know that X=9 and Y =14 but is there more to it because there are some numbers here that i fo not know where they come from



Answer :

Question:

Solution:

The bottom sides are the same length, then:

[tex]2x\text{ +2 = x+11}[/tex]

putting the similar terms together, we have:

[tex]2x\text{ -x = 11-2 }[/tex]

this is equivalent to:

[tex]x\text{ = 9}[/tex]

now, notice that the topsides are the same length, then:

[tex]y-3\text{ = x+2}[/tex]

replacing x= 9 into the previous equation, we get:

[tex]y\text{ - 3 = 9 + 2}[/tex]

this is equivalent to:

[tex]y\text{ -3 = 11}[/tex]

solving for y, we get:

[tex]y\text{ = 11+3 = 14}[/tex]

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