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8090 [49]
3 years ago
12

What values for x and y make △MNO≅△PRT?

Mathematics
2 answers:
skad [1K]3 years ago
4 0
The answer is g) y= 27.6 and x=11
1.5y=41.4
1.5y/1.5=41.4/1.5
y=27.6
Scrat [10]3 years ago
4 0

We have to determine the values of 'x' and 'y' such that \Delta MNO\cong \Delta PRT

For triangles to be congruent, all corresponding sides and angles are congruent.

For triangles to be congruent,

MN=PR, NO=RT, MO=RT or \angle M=\angle P , \angle N=\angle R and \angle O=\angle T.

Consider MN=PR

3x-9=24

3x=24+9

3x=33

x = 11

Also, \angle N=\angle R

1.5y^{\circ}=41.4^{\circ}

y=\frac{41.4}{1.5}

y =27.6

The values of 'x' and 'y' are '11' and '27.6' respectively for the given triangles to be congruent.

Therefore, Option g is the correct answer.

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