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d

Step-by-step explanation:

D. 78

Step-by-step explanation:

1. Define/explain

Median - the 'middle number' of a data set.

In order to find the median of a data set, you must first put the numbers in numerical order.

2. Arrange/order.

78, 85, 74, 97, 85, 90, 71, 75, 73

                       ↓

71, 73, 74, 75, 78, 85, 85, 90, 97

3. Solve.

Lastly, the median is the 'middle number' of a data set.

71, 73, 74, 75, 78, 85, 85, 90, 97

4. Conclude.

I, therefore, believe the median of this data set is 78.

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.