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Home » This Teen Bedroom Furniture Hacks Will Transform Your Teen’s Space Overnight! - 500apps

This Teen Bedroom Furniture Hacks Will Transform Your Teen’s Space Overnight! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Determine if this triangle is a right triangle using the Pythagorean theorem.

📌 \( 7^2 = 49 \) and \( 24^2 = 576 \), so \( 49 + 576 = 625 \).

📌 Since both sides are equal, the triangle is a right triangle.

📌 The sum of the first \( n \) positive integers is given by the formula \( S = rac{n(n + 1)}{2} \). If the sum is 5050, find \( n \).

📌 Set up the equation: \( rac{n(n + 1)}{2} = 5050 \).

📌 Multiply both sides by 2: \( n(n + 1) = 10100 \).

📌 Solve the quadratic equation \( n^2 + n - 10100 = 0 \) using the quadratic formula \( n = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \).

📌 Here, \( a = 1, b = 1, c = -10100 \).

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2Pete walked 1.5 miles from his house to the community bus stop, then...
The distance to the hospital was 1.5 + 4.2 = <<1.5+4.2=5.7>>5.7 miles.
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#### 11.4

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