You download 2 dvds and 10 songs for $18. your friend downloaded 3 dvds and 15 songs for $27. write a system of linear equations that represents this situation. can you determine the price of each dvd and each song? explain.

see explanation

Step-by-step explanation:

let d represent a DVD and s a song then the system of equations is

2d + 10s = 18 → (1)

3d + 15s = 27 → (2)

The equations are multiples of each other and have an infinite number of solutions.

that is (1) ÷ 2 and (2) ÷ 3 , gives

d + 5s = 9 and d + 5s = 9 ← infinite number of solutions

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.