X-(4.5+1.5+1+3)= 8
x-10=8
+10. +10
x= 18
He took $18 to the fair. You take his original amount and subtract the things he paid for/bought to get what he came home with. I hope it helps!
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.
If BP= 6 cm and CP= 5 cm, we have:
BP/CP = AB/AC
We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:
1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm
2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm
Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>
Answer:

Step-by-step explanation:

Answer:
18√3
Step-by-step explanation:
tan Ф = opposite/adjacent
tanФ = AB/AC
tan 60 = AC/AB
Tan 60 =√3 AB=18
√3=AC/18
AC=18√3
Answer:
yes
Step-by-step explanation: