Problem

(7) Greg draws three lines on the board. Lines $m$ and $n$ are that the measure of $\angle 2$ is $\frac{2}{3}$ the measure of $\angle 1$. What is the measure of $\angle 2$ ? (8) Math Journal Ava's turtle is half as old as her parrot. In 10 years, her turtle will be $\frac{3}{4}$ as old as her parrot. Write an equation to represent this situation. How old is Ava's turtle? End of Lesson Checklist INTERACTIVE GLOSSARY Find the entry for variable. Write a definition for a younger student. Show an example. SELF CHECK Go back to the Unit 3 Opener and see what you can

Solution

Step 1 :The first question is asking for the measure of angle 2 given that it is 2/3 the measure of angle 1. However, the problem does not provide the measure of angle 1. Therefore, it is impossible to find the measure of angle 2 without additional information.

Step 2 :The second question is asking for the age of Ava's turtle given that it is half as old as her parrot and in 10 years, it will be 3/4 as old as her parrot. This can be solved by setting up an equation and solving for the turtle's age.

Step 3 :Let's denote the age of the turtle as \(t\) and the age of the parrot as \(p\). We know that \(t = \frac{p}{2}\) and in 10 years, \(t + 10 = \frac{3}{4}(p + 10)\).

Step 4 :Solving these equations, we find that \(p = 10\) and \(t = 5\).

Step 5 :Final Answer: Ava's turtle is \(\boxed{5}\) years old.

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Source: https://solvelyapp.com/problems/20634/

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