The miller family made mathematical statement out of their ages as follows. tom is 4 less than twice gary’s age. rebecca is the youngest and she is two less than half gary’s age after it was increased by three. sam’s age is the ratio of seven more than gary’s age to eight less than gary’s age. translate each of the miller family members age into algebraic expressions in terms of gary’s age, g

let t = Tom's age

let g = Gary's age

let r = Reb's age

let s = Sam's age

:

tom is four less than twice gary's age.

t = 2g - 4

:

Gary's age

2g - 4 = t

2g = t + 4

g = t+4 over 2

:

rebecca is the youngest and she is two less than half gary's age after it was increased by three.

r = .5(g+3) -2

:

sam's age is the ratio of seven more than gary's age to eight less than gary's age.

s= (g+7) over (g-8)

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

understand that i don't know the answers

will someone answer his question