Which of the following statements is false? a)the product of two rational numbers is always irrational. b) the sum of a rational number and an irrational number is always irrational. c) the product of a nonzero rational number and an irrational number is always irrational. d) the product of two irrational numbers is either rational or irrational.

A

Step-by-step explanation:

because √25* √25 equals an irrational number but

53*53 equals a rational number so a product of two whole numbers can be rational or irrational.

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.