The hypotenuse of a right triangle is 6 more than the shorter leg. the longer leg is three more than the shorter leg. find the length of the shorter leg

9

Step-by-step explanation:

shorter leg = x

longer leg = x + 3

Hypotenuse = x + 6

x² + (x + 3)² = (x + 6)²

x² + x² + 6x + 9 = x² + 12x + 36

2x² + 6x + 9 = x² + 12x + 36

x²  - 6x  - 27 = 0

(x - 9) ( x + 3) = 0

x = 9 or x = -3 (rejected)

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).