Find the value of x in the kite below. TU = 15x – 23 and UV = 3x + 37
15x-23=3x+37
15x-3x-23=3x-3x+37
12x-23=37
12x-23+23=37+23
12x=60
x=5
To find the value of x in the given kite, we need to set up an equation based on the given information and then solve for x.
In a kite, the lengths of the two pairs of consecutive sides are equal. So, the equation for the given kite is:
TU = UV
Substituting the given expressions for TU and UV, we have:
15x - 23 = 3x + 37
Now, we can solve this equation to find the value of x.
First, let's simplify the equation by combining like terms:
15x - 3x = 37 + 23
12x = 60
Next, isolate x by dividing both sides of the equation by 12:
12x/12 = 60/12
x = 5
Therefore, the value of x in the given kite is 5.