2 years ago

1. Which diagram(s) show adjacent angles?

Mathematics

1 answer:

disa [49]2 years ago

6 0

Answer:

1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side

2. diagram B. are vertical angles

3. diagram A. are complementary angles

4. diagram E. are supplementary angles

5. diagram D. is a linear pair

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Answer:

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Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

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We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

$B - A = \frac{2}{5}(C - A)$

$x - 3 = \frac{2}{5}(5 - 3)$

$x - 3 = \frac{4}{5}$

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y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

$B - A = \frac{2}{5}(C - A)$

$y - 4 = \frac{2}{5}(11 - 4)$

$y - 4 = \frac{14}{5}$

$y = 2.8 + 4 = 6.8$

Thus the correct answer is:

(3.8, 6.8)

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