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Svetach [21]
3 years ago
13

Help Me With This Question Please!

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

Lines A , B, C and D meet at a point, O. Different angles are formed at this poin, O.

The sum of the angles at point O is 360 degrees. It means that

x + (2x + 80) + (5x + 40) + 4x = 360 degrees

x + 2x + 80 + 5x + 40 + 4x = 360 .

x + 2x + 4x + 5x + 80 + 40 = 360

12x + 120 = 360

12x = 360 - 120 = 240

x = 240/12 = 20

Therefore

Obtuse angle AOB = 2x + 80 =

2 × 20 + 80 = 120 degrees

Obtuse angle BOC = 5x + 40 = 5 × 20 + 40 = 140 degrees

Obtuse angle BOD = x + 2x + 80 = 20 + 2 × 20 + 80 = 140 degrees

Andrej [43]3 years ago
3 0

Answer:

∠AOB = 120°

∠BOC = 140°

∠BOD = 140°

Step-by-step explanation:

First, find X !

Full circle is 360°

360 = (2x + 80) + (5x + 40) + 4x + x

360 = 12x + 120

240 = 12x

x = 20°

Substitute the X

∠AOB ≡ (2x + 80) =

(2(20) + 80) = 120°

∠BOC ≡ (5x + 40) =

(5(20) + 40) = 140°

∠BOD = ∠AOB + ∠DOA ≡

120 + x = 120 + 20 = 140°

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Answer:

<h2>\frac{1}{1311}</h2>

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The probability of occurring the event A is \frac{1}{57}.

The probability to occur the event B is \frac{1}{23}.

It is also given that the events are independent that is they do not depends on each other.

So, the probability of occurring both the events simultaneously can be get by simply multiplying the probabilities of both the events.

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Choose all of the expressions that are equal to -9.
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Answer:

-|9|   and -|-9|

Step-by-step explanation:

Given

Expression = -9

Required

Select all equivalent expressions

To do that, we examine each of the options.

<em></em>

<u><em>First Option</em></u>

-|9|

This can be rewritten as

-|9| = -1 * |9|

|9| = 9

So, the expression becomes

-|9| = -1 * 9

-|9| = -9

<em>Hence, |-9| is equivalent to -9</em>

<u><em>Second Option</em></u>

|-9|

|-9| = 9

<em>So, the expression is not equivalent to -9</em>

<em></em>

<u><em>Third Option</em></u>

-|-9|

This can be rewritten as

-|-9| = -1 * |-9|

|-9| = 9

So, the expression becomes

-|-9| = -1 * 9

-|-9| = 9

<em>Hence, -|-9| is equivalent to -9</em>

<em>Fourth Option</em>

-(-9)

This can be rewritten as

-(-9) = -1 *(-9)

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-(-9) = 9

<em>Hence, -(-9) is not equivalent to -9</em>

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The distance from 0 to 9

This is calculated as thus;

Difference = 9 - 0

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<em>Hence, the difference from 0 to 9 is not equivalent to -9</em>

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Answer:

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