Answer:
x = y = 2
Explanation:
You want the values of x and y that make the triangles congruent by HL, where the hypotenuses are labeled 2x+3 and 3y+1, and the legs are labeled x and y.
Congruence
For HL congruence, the legs must be congruent. This requires ...
x = y
Also, the hypotenuses must be congruent, so we have ...
3y +1 = 2x +3
Using x for y, we have ...
3x +1 = 2x +3
x = 2 . . . . . . . . . . subtract 2x+1
Then y = x = 2.
The values of x and y are both 2.
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