Alibrary is selling books to raise money. all paperbacks cost the same amount, and all hardcover books cost the same amount. if one person buys 5 paperback books and 4 hardcover books and spends $124.91, and another person buys 3 paperback books and 2 hardcover books and spends $66.95, how much does each type of book cost? \

paperbacks are $8.99; hardcover books are $19.99.

Step-by-step explanation:

Letting p and h represent the costs of paperback and hardcover books, respsectively, we can write two equations for the cost of a book purchase based on the problem statement.

... 5p +4h = 124.91

... 3p +2h = 66.95

If we subtract the first equation from twice the second, we can find the cost of a paperback.

... 2(3p +2h) -(5p +4h) = 2(66.95) -124.91

... p = 8.99 . . . . . simplify

Using this value in the second equation gives ...

... 3·8.99 +2h = 66.95

... 2h = 39.98 . . . . . subtract 26.97

... h = 19.99 . . . . . . . divide by 2

Paperbacks are $8.99; hardcovers, $19.99.

angle addition postulate

2x=56

step-by-step explanation:

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.