2. A computer software store received two shipments of software. The cost of the first shipment, which contained 12 identical antivirus programs and 10 identical design programs,
was $1780. The second shipment, at the same prices, contained 5 copies of the antivirus
program and 8 copies of the design program. The cost of the second shipment was $1125. Find
the cost for one copy of the antivirus program and the cost for one copy of the design program.
Identify the variables, set up a system of linear equations then solve, and write a conclusion.

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.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58