Subjects algebra

Equal Red Strips Af6C5B

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: The two red strips have equal lengths. What is the value of the missing number? Die twee rooi streepe is ewe lank. Wat is die waarde van die onbekende getal? 1 3 3 4 1 2 13/12 12/13 1 1/13 Not gien/Nie gegee nie Graph: a number line from 0 to 2 with two equal red segments; the first red segment goes from 0 to 1/3, the second red segment goes from 3/4 to the missing point between 3/4 and 1, and the missing point is at 13/12, so position_hint=center.
1. **Stating the problem:** We have two red strips on a number line that are equal in length. 2. **Given:** - First red strip length: from $0$ to $\frac{1}{3}$. - Second red strip length: from $\frac{3}{4}$ to the missing number $x$. 3. **Goal:** Find the value of the missing number $x$ such that the two strips have equal lengths. 4. **Formula:** Length of a segment on a number line is the difference between its endpoints. 5. **Calculate the length of the first strip:** $$\text{Length}_1 = \frac{1}{3} - 0 = \frac{1}{3}$$ 6. **Set the length of the second strip equal to the first:** $$x - \frac{3}{4} = \frac{1}{3}$$ 7. **Solve for $x$:** $$x = \frac{1}{3} + \frac{3}{4}$$ 8. **Find common denominator and add:** $$x = \frac{4}{12} + \frac{9}{12} = \frac{13}{12}$$ 9. **Interpretation:** The missing number is $\frac{13}{12}$. **Final answer:** $$\boxed{\frac{13}{12}}$$