Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).
tonya is twice kevin's age. in three years, tonya will be 17. and in another three years, uncle rob will be three times tonya’s age.
today, kevin is__
years old, and uncle rob is __
years old.

Kevin is 7, Uncle Rob is 54

Step-by-step explanation:

Let's express the information given by the question statement.

1. Tonya (T) is twice Kevin's (K) age: T = 2K

2. In three years, Tonya (T) will be 17: T + 3 = 17

3. In another three years, Uncle Rob (R) will be 3x Tonya's (T) age: R = 3(T+3+3)

From 2, we can say that Tonya is now 14.

First equation becomes: 17 = 2K ... which means K = 7, Kevin is 7.

Third equation becomes: R = 3 (14 + 3 + 3) = 3 (20) = 60

In six years, Rob will be 60.  So, now, he's 54 (60-6).

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240