Answer:
- x = 7
- y = 16
- top sides: 12
- bottom sides: 19
Explanation:
You want the values of x and y and the side lengths in the figure of the kite shown.
Hash marks
Segments with the same hash marks have the same length. This lets you write two equations in the two unknowns:
- y -4 = x +5 . . . . . . . segments with a single hash mark
- 2x +5 = x +12 . . . . . segments with a double hash mark
Solution
The second equation is easily solved for x:
x = 7 . . . . . . . . . subtract (x+5) from both sides
Using this value in the first equation gives ...
y -4 = 7 +5
y = 12 +4 = 16
The values of x and y are 7 and 16, respectively.
Side lengths
The top sides of the kite have length x+5 = 7+5 = 12.
The bottom sides of the kite have length x+12 = 7+12 = 19.
<95141404393>