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9.1.4 AA Triangle Similarity
9-45. ∆ABC is similar to ∆DEF.
a. Find the scale factor from ∆ABC to ∆DEF. 5
b. Find x. x = 7.7
c. Find y. y = 40
9-46. Sketch an example of each type of graph described below.
b. non-linear and increasing
a. linear and decreasing.
9-47. Louis recorded how many times he could jump rope without stopping. Here is his data:
50 15 102 64 29 55 100 97 48 81 61
Find the median, first quartile, and third quartile of his data.
Median = 61, first quartile = 48, third quartile = 97
9-49. Use what you know about the angles in a triangle to find x in each diagram below.
Show all work. Then classify each triangle as acute, right, or obtuse.
x = 60°, acute
x = 24°, obtuse
9-48. Solve the system of equations below by each of the ways described in parts (a) and (b)
below. Then compare your answers in part (c).
a. Graph the system on graph paper. Then write its
solution (the point of intersection) in (x, y) form.
(-2, 3)
b. Now solve the system using the Equal Values Method.
(-2, 3)
c. Did your solution in part (b) match your result from part (a)? If not, check your work
carefully and look for any mistakes in your algebraic process or on your graph.
Yes, the answers should match
9-50. Jason is interested in buying a used Panda hybrid car because he heard of its incredible
gas mileage. Jason collected data from listings on the Internet.
a. Make a scatterplot of the data.
b. Fully describe the association.
Strong negative linear association
c. Draw a line of best fit for the data. Find the equation
of the line of best fit.
Should be close to: y = −3x + 35
d. Use the equation to predict the expected cost of a 6year-old car.
e. Interpret the slope and y-intercept in context. Slope
of –3 means the car is losing $3000 in value each
year, y-intercept of 35 means the cost when new
was $35,000