2 triangles are connected a common side. The length of one side is 2 x + 3. Its corresponding side on the second triangle is 9. The length of another side is y minus 4. Its corresponding side on the second triangle is 7. Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent? x = 3, y = 11 x = 5, y = 5 x = 7, y = 9 x = 9, y = 7

Based on the fact that congruent triangles have corresponding side lengths that are equal, the pairs of values of x and y that would justify that the two triangles are congruent is: x = 3, y = 11

Recall:

If two triangles are congruent, the length of their corresponding side lengths will be equal.

Thus, given that:

side length of one triangle measuring 2x + 3 corresponds to the other side length of the other triangle measuring 9, thus, we will have:

2x + 3 = 9

Solve for x

2x = 9 - 3

2x = 6

x = 3

Also:

y - 4 = 7

Solve for y

y = 7 + 4

y = 11

Therefore, based on the fact that congruent triangles have corresponding side lengths that are equal, the pairs of values of x and y that would justify that the two triangles are congruent is: x = 3, y = 11

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