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if ab=2x-2.4,ac=2.3x-4.23 and be is the perpendicular bisector of ac determine which of the following values are correct. c a. ) x=4.1

Question

If AB=2x-2.4,AC=2.3x-4.23 and BE is the perpendicular bisector of AC determine which of the following values are correct. c A. ) x=4.1 B. x=6.1 C. AB=9.8 D. AE=2.6 E. AB=5.8 F. Perimeter of Delta SPQ=16.8

Answer

4.1 (137 Votes)
Verificación de expertos
Dylan Veteran · Tutor for 10 years

Answer

Let's solve the problem step by step.Step 1: Understand the given information.We have a triangle ABC with a point E on AC such that AE = 2x-1 and EC = 1.5x-0.35. AB is given as 7.3x, and BC is given as 7.23. However, there is a discrepancy in the question as it also states that AB = 2x-2.4. Since BE is the perpendicular bisector of AC, AE = EC.Step 2: Set up the equation for AE = EC.Since BE is the perpendicular bisector of AC, we have AE = EC. Therefore, we can set up the following equation:2x - 1 = 1.5x - 0.35Step 3: Solve for x.2x - 1.5x = -0.35 + 10.5x = 0.65x = 0.65 / 0.5x = 1.3Step 4