Suppose x is any positive number. Circle 1: center (0, 0) and radius 2x
Circle 2: center (0, 0) and radius 10x
Why iS circle 1 similar to circle 2?
• Both circles have congruent diameters.
• 1 Circle 1 and circle 2 have equal areas.
O Circle 2 is a dilation of circle 1 with a scale factor of 0.2.
O Circle 2 is a dilation of circle 1 with 1 a scale factor of 5.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c