1 Expert Answer
Two triangles are congruent by SAS.
By corresponding parts of congruent triangles are equal:
2x - 7 = 2y + 1
4y - 6 = 3x - 10
move terms so in familiar form:
2x - 2y = 8
-3x + 4y = -4
multiply 1st equation by 2
4x - 4y = 16
-3x + 4y = -4
add two equations together:
x = 12
substitute x = 12 into equation 2x - 2y = 8
2(12) - 2y = 8
24 - 2y = 8
-2y = -16
y = 8
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Stanton D.
Come on, Buddy S., you should be able to see that the line is a perpendicular bisector of the triangle? That sets up congruent triangles, use that info to set up 2 equations in 2 unknowns (relating the congruent sides of the triangles), which has a unique solution, most likely. --Mr. d.12/01/21