Marta receive x amount dollars for helping her dad in the backyard she spent 1.77 of that amount on snacks after buying those sn
2 answers:
Answer:
$15.50.
Step-by-step explanation:
We have been given that Marta receive x amount dollars for helping her dad in the backyard she spent 1.77 of that amount on snacks. After buying those snacks she had 13.73 left over. We are supposed to find the money that Marta got from his dad.
Amount left after spending $1.77 on snacks would be .
Since Marta has $13.73 left over after buying the snacks, so we will equate with 13.73 as:
Therefore, Marta received $15.50 from her dad.
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Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.
Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'
Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.