Project Devy. The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f = 180 EndLayout
StartLayout Enlarged Left-Brace 1st Row f + d = 240 2nd Row f minus d = 180 EndLayout
StartLayout Enlarged Left-Brace 1st Row f minus d = 240 2nd Row f = 180 + d EndLayout
StartLayout Enlarged Left-Brace 1st Row f minus d = 240 2nd Row f = 180 d EndLayout

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.

correct answer is b. 27/8

step-by-step explanation: