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valentinak56 [21]
3 years ago
8

PLEASE HELP! I WILL GIVE BRAINLIEST

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer:

x=40 degrees

Step-by-step explanation:

there is 180 degrees in half a circle,and 180-100=80

and because there are 2 x values on either side you divide that 80 by 2 which gives you 40.

Nitella [24]3 years ago
6 0

Answer:

x=40

Step-by-step explanation:

The 3 angles are on a straight line, which means they are supplementary. When added together, they must equal 180 degrees.

x+x+100=180

Combine like terms by adding the 2 x's together

2x+100=180

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtract 100 from both sides, because 100 is being added to 2x. Subtraction is the opposite of addition.

2x+100-100=180-100

2x=180-100

2x=80

Next, divide both sides by 2. x is being multiplied by 2, and division is the opposite of multiplication.

2x/2=80/2

x=80/2

x=40

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By how many degrees did the direction of the boat change
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Answer:

The boat turned <u>39°</u> degrees when it made its first turn.

Step-by-step explanation:

The question is as following:

A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.

===================================================

See the attached figure which represent explanation of the problem.

The boat start from point A to point B then stopped at point C

AB = 28 miles, BC = 25 miles and AC = 18 miles.

It is required to find the angle x

By applying the cosine Rule:

AC² = AB² + BC² - 2 * AB * BC * cos x

18² = 28² + 25² - 2 * 28 * 25 * cos x

2 * 28 * 25 * cos x = 28² + 25² - 18²

1400 cos x = 1085

Cos x = 1085/1400 = 0.775

x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.

So, the boat turned <u>39°</u> degrees when it made its first turn.

8 0
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Answer:

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Step-by-step explanation:

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vladimir1956 [14]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Jasmine reading unit rate = total number of words read / time taken

Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute

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Scott reading unit rate = total number of words read / time taken

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or

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