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LenaWriter [7]
2 years ago
15

Find value of x PLEASE SHOW WORK!!!

Mathematics
1 answer:
kogti [31]2 years ago
4 0

Answer:

the value of X is 122

Step-by-step explanation:

First, all triangle angles add up to 180 so to find the missing angle we subtract  51 and 71 from 180 and get 58

Now we know straight lines always equal 180 as well so we subtract 58 from 180 and get 122 and that is the value of x

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Answer:

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Step-by-step explanation:

The figure given has two similar triangles: ΔABC and ΔDEF.  Although the triangles are similar, their orientation is different and ΔDEF is flipped.  Since the triangles are similar, their side lengths are proportional to each other.  Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF.  The only answer that matches these up proportionally is the third one.  Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle.  Final answer being:

\frac{AC}{BC}=\frac{DF}{EF}

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