Alibrary ordered 1060 new books. they ordered 12 times

as many mystery books as romance. they ordered 52

more science fiction books as they did romance books.

how many of each type of books were ordered?

mystery:

science fiction:

romance:

Each type of books ordered were:

Mystery: 864 books.

Science Fiction: 124 books.

Romance: 72 books.

Step-by-step explanation:

Given:

Total new books ordered by library = 1060.

12 times as many mystery books as romance, 52 more science fiction as romance books.

Let, the romance books be .

So, the mystery books is .

And, the science fiction books is .

According to question:

⇒

⇒

⇒

⇒

⇒

⇒ .

Romance: .

Mystery: .

Science Fiction: .

Therefore, each type of books ordered were:

Mystery: 864 books.

Science Fiction: 124 books.

Romance: 72 books.

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.

24+x=y

step-by-step explanation: