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Determine the value of y that maintains the congruence of the figures.

Determine the value of y that maintains the congruence of the figures.-example-1
User Benni
by
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1 Answer

7 votes

Answer:

We conclude that the value of y = 11 cm.

Explanation:

Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.

Thus,

The length of DQ = The length of EL

Given

The length of DQ = 3y - 1

The length of EL = 32 cm

so

The length of DQ = The length of EL

3y - 1 = 32

Adding 1 to both sides

3y - 1 + 1 = 32+1

3y = 33

Dividing both sides by 3

3y/3 = 33/3

y = 11

Thus, the value of y = 11 cm

Therefore, we conclude that the value of y = 11 cm.

User Nikos Kyr
by
3.6k points