Two vertical poles 20 m and 30 m high, are 60 m apart. A rope is to be attached from the top of one pole to a point on the ground halfway between the poles, and then to the top of the other pole. How long a rope is needed?

Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.

Suppose i flip two identical coins. what is the probability that i get one head and one tail?

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.