Answer:
The length of NO is

Explanation:
step 1
Find the value of x
we know that
The Kite has two pairs of equal-length adjacent (next to each other) sides.
so
The perimeter is equal to
![P=2[MN+NO]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8zyf1rattabmbi00a4f2l6j6s6qtcnan7c.png)

so
![80=2[MN+NO]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m3nr4ex1qg5l17mgk3h2husx2uh3zmz461.png)
![40=[MN+NO]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3nl2uam8ipf77aco2cnalynkm3eb81aah6.png)
substitute the values and solve for x
![40=[(3x+5)+(x-7)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ghstfv9sx48fbj3tg550q4jwh62gcldb46.png)
![40=[4x-2]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qkuzydykx5vvq9s48et86ixwb2a7v8cqx5.png)


step 2
Find the length of NO
