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IM 7.7.10 Practice: Drawing Triangles (Part 2)

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description? Explain or show your reasoning. Use the applet below to help you.

A triangle has one side that is 5 units long and an adjacent angle that measures 25°. The two other angles in the triangle measure 90° and 65°. Use the applet below to complete the two diagrams to create two different triangles with these measurements.

Is it possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees?

  • If so, draw an example in the applet below.
  • If not, explain your reasoning.

Segments , and  intersect at point . Angle  is a right angle. Identify any pairs of angles that are complementary.

Match each equation to a step that will help solve the equation for x.

If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?

If you leave this money in the account, how much will be in your account after 2 years?