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3 years ago

Which values of x and y make triangle CDE = triangle HFG?

Mathematics

1 answer:

taurus [48]3 years ago

5 0

Answer:

Option (4)

Step-by-step explanation:

By the property of congruence of the triangles given in the figure,

ΔCDE ≅ ΔHFG

By applying triangle sum theorem in ΔCDE,

m∠C + m∠D + m∠E = 180°

32° + 112° + m∠E = 180°

m∠E = 180° - 144°

m∠E = 36°

Corresponding side and angles of two congruent triangles are equal in measure.

Therefore, m∠E = m∠G

36° = (4y + 8)°

4y = 36 - 8

4y = 28

y = 7

Similarly, FG = DE

41 = 3x + 2

3x = 41 - 2

3x = 39

x = 13

Therefore, Option (4) will be the correct option.

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Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options

Murljashka [212]

Answer:

The value of X is more than equal to -1.83.

Step-by-step explanation:

We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'

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3 years ago