Ch.3_4 Test Review.pdf

Ch.3/4 Test Review 1. Solve for the missing variables. The following describes a right triangle. Draw the diagram for each scenario. a. Hypotenuse is 28. Opposite side to 𝜃 is 17. Solve for 𝜃. b. Angle is 34°. Adjacent side is 8. Hypotenuse is x. Solve for x. c. Angle is 58°. Opposite side is x. A...

Ch.3/4 Test Review 1. Solve for the missing variables. The following describes a right triangle. Draw the diagram for each scenario. a. Hypotenuse is 28. Opposite side to 𝜃 is 17. Solve for 𝜃. b. Angle is 34°. Adjacent side is 8. Hypotenuse is x. Solve for x. c. Angle is 58°. Opposite side is x. Adjacent side is 7. Solve for x. 2. Factor the following expressions. Make sure to factor out GCF first if there is one. a. 𝑥 2 − 𝑥 − 6 b. 4𝑥 2 − 25𝑥 − 21 c. 6𝑥 2 − 18𝑥 − 24 d. 25𝑥 2 − 49 3. Triangle ABC is similar to triangle DEF. If AB = 9, DE = 16, BC = 5, what is EF? 4. You own 20 sweaters and 10 pants. You have 15 red sweaters and 5 blue sweaters. You have 6 red pants and 4 blue pants. a. Create an area model showing the probabilities. b. What is the probability that you choose a red sweater and red pants? c. What is the probability that you choose a red sweater or red pants? 5. You have an isosceles triangle. The two base angles are labeled 2𝑥 + 4° and 𝑥 + 36°. What is x? What is the measurement of the two base angles?