5. In the diagram shown, the construction of a regular hexagon has been shown. Extra segments (normally not drawn) have been drawn in
dashed.
(a) Explain why triangle ACM , triangle DBM , triangle BEM , and triangle AFM are all
congruent, equilateral triangles.
(b) Now, why would triangle CDM and triangleEFM also have to be equilateral and congruent to these other four?

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.