A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?

The ratio of gallons of blue paint to gallons of yellow paint that make the same shade of green paint is 5/9

Step-by-step explanation:

The ratio represents how many units are of one kind compare with another kind.  

In this case ,  we are comparing gallons of blue paint with gallons of yellow paint. To get the green color we use  5 gallons of blue paint with every 9 gallons of yellow paint To get the ratio we divide both amounts.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.