In a square, the sum of the length of three sides is 48 and in a rectangle the difference between a length and width is 7 in if a width of the rectangle is the same as a side of the square how long is length of the rectangle.

23

Step-by-step explanation:

The sides of a square are all the same length, so if 3 of them total 48, one of them must be 48/3 = 16.

If the length of the rectangle is 7 longer than the side of the square, it is

... 16 + 7 = 23

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

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.