Question

1. If △NMK ≅ △TRP, then answer the following questions: (attached is the photo)

Solve for X

Answer 1

Answer:x=7

Step-by-step explanation: Set up 3x-1 equal to 20

Then do your usual distributing.

Answer 2

If △NMK ≅ △TRP, applying the theorem of congruent triangles, the value of x is: 7

Recall:

• If two triangles are congruent, their corresponding sides will be equal to each other.

Given that △NMK ≅ △TRP, it implies that:

NM = TR

MK = RP

NK = TP

To find the value of x, set NM equal to TR

NM = TR

• Substitute

20 = 3x - 1

• Add 1 to both sides

20 + 1 = 3x - 1 + 1

21 = 3x

• Divide both sides by 3

7 = x

x = 7

Therefore, if △NMK ≅ △TRP, applying the theorem of congruent triangles, the value of x is: 7

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