<span>
<span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>
<span><span>2n = -3m + 280
</span>
</span><span>n = -3/2
m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>
<span><span>2n = -5m + 320
</span>
</span><span>n = -5/2m + 160
</span><span><span>
so now you have
</span>-3/2m + 140 = -5/2m + 160 </span>
<span><span>Rearrange to become:
</span>
</span><span><span>-3/2m + 5/2m = 160 - 140
</span>
</span><span>m = 20
</span><span>
</span>
<span>Now place 20 into the very 1st</span><span><span> equation in place
of the letter m
</span>
</span><span><span>2n + 3(20) = 280
</span>
</span><span><span>2n + 60 = 280
</span>
</span><span><span>2n = 220
</span>
</span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>
Correspondency
corresponding sides are similar in similar figures
corresponding sides are congruent in congruent figures
congruent figures are similar
Answer: It is being dilated by a scale factor of 1/3.
Step-by-step explanation:
The pre-image has the coordinates (0,0) (6,0) (6,-3) and (0,-3) and a transformation has been applied to it to get the coordinates of the image to be (0,0) (2,0) (2,-1) ( 0,-1)
Looking at the coordinates we can see that to get from 6 to 2 you will have to multiply by 1/3 and to get from -3 to -1 you will have to multiply by 1/3.
This means that pre-image was dilated by a scale factor of 1/3.
