Question

Given ABC is congruent to DEF, AB = 9x - 10, BC = 3x - 17, AC = 84 + 3, EF = 5y - 9, DF = 2y + 15. Solve for x and y.

A) X = 6, y = 2.
B) X = 8, y = 9.
C) X = 2, y = 9.
D) X = 9, y = 2.

Answer 1

To solve for x and y in the given congruent triangles ABC and DEF, we set the corresponding sides equal to each other and solve the resulting equations simultaneously.

Step-by-step explanation:

To solve for x and y in the given congruent triangles ABC and DEF, we can set the corresponding sides equal to each other.

AB = EF: 9x - 10 = 5y - 9

BC = DF: 3x - 17 = 2y + 15

Solving these two equations simultaneously will give the values of x and y. After solving, we find that x = 6 and y = 2. So the correct answer is A) X = 6, y = 2.