Logan bought 15 balloons. Four-fifths of the balloons are purple. How many of the balloons are purple

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

If the car had not hit the fence, how much farther would it have skidded? solve the skid-distance formula to find the extra distance that the car would have traveled if it had not hit the fence. round your answer to two decimal places. note that unit conversion is built into the skid distance formula, so no unit conversions are needed.