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Alisiya [41]
3 years ago
15

In which figure is DE\\BC ? figure 1 figure 2 figure 3 figure 4

Mathematics
2 answers:
Daniel [21]3 years ago
5 0

Answer:

#4  figure is correct answer just took test on it and it was correct

Step-by-step explanation:


PtichkaEL [24]3 years ago
3 0
The answer is figure #4

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HELP ASAP!!!!!!!!PLEASE<br><br> Solve for x. Please explain. Thank you
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The values are x=8 and y=10

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

Where QR = 2x-4 and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q = (6y+x)°

Hence, to determine the value of x for the side QR, we have,

Equating the values in GF = QR,we get,

12=2x-4\\16=2x\\8=x

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Substituting x in the angle Q to determine the value of y.

Thus, we have,

∠F = ∠Q

68=6y+x\\68=6y+8\\60=6y\\10=y

Thus, the value of y is 10.

Hence, The values are x=8 and y=10

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