Answer:

Step-by-step explanation:
The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula
is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.
That is a distance formula I was gonna type it but I didn’t have the symbols so use the picture attached.
We are given these three people age below:
- Jim's age
- Carla's age
- Tomy's age
We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

Combine like terms and solve for x.

Then we substitute the value of x in ages to find these three people ages.
- Jim's age = x = 5
- Carla's age = x+5 = 5+5 = 10
- Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.
Answer
- Jim's age = 5
- Carla's age = 10
- Tomy's age = 16
12(x-3) + 18 = 4(2x-3)
12x-36+18 = 8x-12
12x -18 = 8x-12
12x-8x = -12 + 18
4x = 6
x = 6/4 or 3/2
one solution A
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2
so if base is 6 then height is (6√3)/2=3√3
area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches