Discover how IDNLearn.com can help you find the answers you need quickly and easily. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

Find the values of the variables and the lengths of the sides of this kite. (image attached)thank you ! :)

Find The Values Of The Variables And The Lengths Of The Sides Of This Kite Image Attachedthank You class=

Sagot :

Given:

Given that a kite having the lengths

[tex]\begin{gathered} y-4 \\ x+5 \\ 2x+5 \\ x+12 \end{gathered}[/tex]

Required:

To find the value of the variable and the lengths of the sides of the kite.

Explanation:

From the given figure

[tex]\begin{gathered} 2x+5=x+12 \\ \\ 2x-x=12-5 \\ \\ x=7 \end{gathered}[/tex]

Now the length of the sides become

[tex]\begin{gathered} 2x+5=2(7)+5 \\ =14+5 \\ =19 \end{gathered}[/tex][tex]\begin{gathered} x+12=7+12 \\ =19 \end{gathered}[/tex]

And

[tex]\begin{gathered} x+5=7+5 \\ =12 \end{gathered}[/tex]

Now the value of y is

[tex]\begin{gathered} y-4=12 \\ y=12+4 \\ y=16 \end{gathered}[/tex]

Final Answer:

The value of variable is

[tex]\begin{gathered} x=7 \\ y=16 \end{gathered}[/tex]

The sides lengths are 12,12,19 and 19.