10. an equation is shown. 5 1/2 + 5 1/? = 10 4/6
what is the value of the missing number?

The value of the missing number is 6, as denominator of the mixed number 5 1/6

Step-by-step explanation:

Let's find the value of the missing number, this way:

5 1/2 + 5 1/? = 10 4/6

Converting mixed numbers to fractions:

If we observe carefully, we notice than both mixed numbers on the left start with 5 as whole number and their sum are the whole number of the result of the right

5 + 5 = 10

Therefore, just let's work with the fractions, this way:

1/2 + 1/? = 4/6

1/? = 4/6 - 1/2

1/? = 4/6 - 3/6

1/? = 1/6

The value of the missing number is 6, as denominator of the mixed number 5 1/6

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).