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elena-14-01-66 [18.8K]
3 years ago
11

If the measure of angle ABD and DBC are a linear pair, with a measure of angle ABD = (5x+29) and measure of angle DBC=(2x+32),wh

at is the value of x?​
Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

Answer:

x = 17

Step-by-step explanation:

5x + 29 + 2x + 32 = 180    (linear pair means that these angles add up to 180 cos they are in a line)

7x = 119

x = 17

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Answer:

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Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h  = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

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How many sides does the polygon have?<br> 8<br> 10<br> 12<br> 15
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Answer:

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Step-by-step explanation:

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