What is the measure of ∠x?

angle x= 38 degrees

Step-by-step explanation:

Supplementary angles are equal to 180 degrees. We know angle y is equal to 142 degrees. Therefore, the equation is 180-142 which is equal to 38. Angle x is equal to 38 degrees.

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c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$15 each

step-by-step explanation:

$45/3 children= $15 each