Of the 45 members of the henley middle school drama club, 28 are girls. which is a part-to-part ratio that describes this situation?

17 boys : 28 girls

Step-by-step explanation:

we know that

Part-to-part ratios provide the relationship between two distinct groups

Let

x ----> the number of boys of the Henley Middle School Drama Club

y ----> the number of girls of the Henley Middle School Drama Club

we know that

----> equation A

----> equation B

substitute equation B in equation A and solve for x

therefore

There are 17 of boys and 28 girls at the Henley Middle School Drama Club

A part-to-part ratio is

17 boys : 28 girls

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: