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The shorter leg, s, is the geometric mean between h and m

The longer leg, b, is the geometric mean between h and n

Step-by-step explanation:

By the right triangle geometric mean theorem, we have;

The altitude of a right triangle, 'h', which intersects with the hypotenuse side of the right triangle at a point such that it creates two segments, 'a' and 'b' on the hypotenuse side , then we have;

h = √(a·b)

Therefore, we have;

Description                                                                                       Proportion

The altitude of ΔAYES is the geometric mean between m and n  

a² = m·n → a = √(m·n)

The shorter leg, s, is the geometric mean between h and m  

s² = m·h → s = √(m·h)

The longer leg, b, is the geometric mean between h and n  

b² = n·h → s = √(n·h)

c. 6tan80

step-by-step explanation:

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right