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.
A triangle has one side that is 5 units long and an adjacent angle that measures \(25^\circ\). The two other angles in the triangle measure \(90^\circ\) and \(65^\circ\). 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. If not, explain your reasoning.
Segments \(CD\), \(AB\), and \(FG\) intersect at point \(E\). Angle \(FEC\) is a right angle. Identify any pairs of angles that are complementary.
For access, consult one of our IM Certified Partners.(From Unit 7, Lesson 2.)
Match each equation to a step that will help solve the equation for \(x\).
For access, consult one of our IM Certified Partners.(From Unit 5, Lesson 15.)
- 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?
For access, consult one of our IM Certified Partners.(From Unit 4, Lesson 8.)