16. Levi has two pieces of decorative tapes, one x cm long and the other x(x+1)
cm long. To decorate an album, she wants to cut them up to produce many
pieces of decorative tapes that are all of the same length, with no left overs.

a. Express in terms of x the greatest possible length, in cm, that she can cut
them into.

b. The difference in length between the two tapes is 4 cm. What is the value of

c. Hence, or otherwise, how many smaller decorative tapes can she produced in
all?

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.

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3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.