vazquezbrian0101 vazquezbrian0101

19-10-2018
Mathematics

contestada

In △ABC, ∠A ≅ ∠C. If AB = 4x + 25, BC = 2x + 45, and AC = 3x − 15, determine the length of side AB.

Respuesta :

mhanifa mhanifa

07-01-2021

Answer:

65

Step-by-step explanation:

If angles A and C are congruent, then opposite sides should be congruent as well:

AB = BC
4x + 25 = 2x + 45
4x - 2x = 45 - 25
2x = 20
x = 10

Then AB is:

AB = 4x + 25
AB = 4*10 + 25 = 65

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