The blue circle has radius 2 and the green circle has radius 1 AB is a common tangent and all 3 circles touch each other. Find the radius of the smallest circle. The answer is btw 6 - 4√2 how ever I'm only getting as to far as (6-2√2)/7 Please solve with working

Martha needs 22.25 strawberries for every 5 smoothies she makes. complete the table to see how many strawberries she would need to make 10 smoothies and 20 smoothies.

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Kayla and alberto are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. kayla sold 3 small boxes of grapefruit and 1 large box of grapefruit for a total of $65. alberto sold 1 small box of grapefruit and 1 large box of grapefruit for a total of $55. what is the cost each of one small box of grapefruit and one large box of grapefruit?