Question

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 1

Question:

Solution:

The bottom sides are the same length, then:

`2x\text{ +2 = x+11}`

putting the similar terms together, we have:

`2x\text{ -x = 11-2 }`

this is equivalent to:

`x\text{ = 9}`

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

`y-3\text{ = x+2}`

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

`y\text{ - 3 = 9 + 2}`

this is equivalent to:

`y\text{ -3 = 11}`

solving for y, we get:

`y\text{ = 11+3 = 14}`