The pentagon has five sides as shown in the figure. The perimeter can be expressed as 5 + 5 + 2 x + x + 2 x.

A pentagon with side lengths of 5, 5, 2 x, 2 x, and x.

Which expression is equivalent to the perimeter expression?
5 + 4 x
10 + 4 x
5 + 5 x
10 + 5 x

D

Step-by-step explanation:

To find the perimeter, let's add up all the sides and combine like terms.

5 + 5 + 2x + 2x + x

Adding 5 and 5 gets us 10, and adding 2x, 2x, and x gets us 5x.

So, the perimeter should be 10 + 5x, or D

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.