What is the value of x?

enter your answer in the box.

x = __ cm

This is a proportionality question.  We have two transversals meeting at a point; the indicated congruent angles indicates the traversals intersecting parallel lines.  Usually in these sorts of questions the parallel lines are on the same side of the common vertex, but here the vertex is in between, so the x is proportional to the 42.

x/6 =42/36

x =  6(42/36) = 42/6 = 7

7

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

9x