Find the value of x. if your answer is not an integer, leave it in simplest radical form. the diagram is not drawn to scale.

x = 5sqrt(3)

Step-by-step explanation:

This is a right triangle.  We can use the Pythagorean theorem to solve

a^2 +b^2 = c^2

5^2 +x^2 = 10^2

25+x^2 = 100

Subtract 25 from each side

25-25 +x^2 = 100-25

x^2 = 75

Take the square root of each side

sqrt(x^2) = sqrt(75)

x = sqrt(3*25)

Remember sqrt(ab) = sqrt(a)sqrt(b)

x = sqrt(5)sqrt(3)

x = 5sqrt(3)

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

a. (14,375+570)(5.3) b. 158,417$

step-by-step explanation:

a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.

b.   14,375+570= 14,945

      14,945 x 5.3 = 79,208.5

      79,208.5 x 2(years) = 158,417(answer)