In the figure above, if AB = 8 centimeters, CB = 6 centimeters, and ED = 5 centimeters, then what is the length of EB?
A. 5 centimeters
B. 75 centimeters
C.
10 centimeters
D.
5/5 centimeters

  D.  5√5 centimeters

Step-by-step explanation:

The Pythagorean theorem tells you ...

  BD^2 = CB^2 +AB^2

and it tells you that ...

  EB^2 = ED^2 +BD^2

  EB^2 = ED^2 + CB^2 +AB^2 . . . . . substitute for BD^2

  EB^2 = 5^2 +6^2 +8^2 = 125 . . . . . fill in the vlaues

  EB = √125 = 5√5

The length of EB is 5√5 centimeters.

only 10/60 isn't equivalent

hope this : )

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).