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bonufazy [111]
3 years ago
9

When x = 8, y = 20. Find y when x = 42

Mathematics
2 answers:
GenaCL600 [577]3 years ago
4 0
8x20
42xy
cross multiply both the equation 
8y=42*20
8y=840
y=840/8
y=105
snow_tiger [21]3 years ago
3 0
The answer that I got was y=105
     
Hope this helps!
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LenKa [72]

Answer:

The option is C i.e 115°, 65°. proof is given below.

Step-by-step explanation:

Given:

ABCD is a quadrilateral.

m∠ A = 100 + 5x

m∠ B = 77 - 4y

m∠ C = 106 + 3x

m∠ D = 47 + 6y

To Prove:

ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.

m∠ A = m∠ C and

m∠ B = m∠ D

Proof:

ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.

∴ m∠ A = m∠ C

On substituting the given values we get

∴  100 + 5x  = 106 +3x

∴ 5x-3x=106-100\\\\2x=6\\\\x =\frac{6}{2} \\\\x=3

m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°

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∴  m∠ A = m∠ C = 115°

Similarly,

∴ m∠ B = m∠ D

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10y = 77 - 47

10y =30

∴y=\frac{30}{10} \\y = 3\\

m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°

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∴ m∠ B = m∠ D = 65°

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Step-by-step explanation:

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