Find the value of a in the equation 5/a+3 = 3/a-2

D 9 1/2

Step-by-step explanation:

5/(a+3) = 3/(a-2)

We can use cross products to solve

5 * (a-2) = 3 * (a+3)

Distribute

5a - 10 = 3a +9

Subtract 3a from each side

5a -3a -10 = 3a -3a +9

2a -10 =9

Add 10 to each side

2a -10+10 = 9+10

2a = 19

Divide each side by 2

2a/2 = 19/2

a = 19/2

a = 9 1/2

Option D

Step-by-step explanation:

Please see attached picture for a detailed answer.

yes

step-by-step explanation:

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).