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nadezda [96]
3 years ago
15

In the diagram which two angles are corresponding angles with angle 12?

Mathematics
2 answers:
Aleks04 [339]3 years ago
4 0
Corresponding angles:
8< and <16

hope it helps
Taya2010 [7]3 years ago
4 0

Answer:

∠8 and ∠16 are corresponding angles with ∠12  

Step-by-step explanation:

Given the diagram we have to find the angles which are corresponding angles with ∠12.

Those angles which are on the same side of traversal called corresponding angles.

By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.

Hence, ∠8 and ∠16 are corresponding angles with ∠12

Option 1 is correct.

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Perform the indicated matrix row operation and write the new matrix
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Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

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x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6  = 15

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