What figure appears to be the image of figure h after a dilation by a scale factor of 1/2 and a rotation of 180 degrees?

Figure D

Step-by-step explanation:

we know that

If the scale factor of the dilation is 1/2, that means the dilation is a reduction

so

the answer is between the Figure C and Figure D

but  

a rotation of 180° eliminate the Figure C

therefore

The answer is the Figure D

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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