Question

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


f) x=15,y=27.6
g) x=11,y=27.6
h) x=11,y=13.8
j) x=15,y=13.8

Answer 1

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

Answer 2

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.