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strojnjashka [21]
3 years ago
10

Solve for b1176327160​

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0

Answer:

B) 27

Step-by-step explanation:

Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:

153+b=180

b=180-153

b=27

Hope this helps!

Alisiya [41]3 years ago
3 0

Answer:

27

Step-by-step explanation:

180-153=b

b=27

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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
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Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

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2 years ago
WILL GIVE BRAINLIEST
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Answer:

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Look at the image below :)

In case you didn't know, corresponding angles are equal to each other and are on the same side of the traversal

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you have a work meeting that starts at 1:15 pm. you arrived at 12:53 pm. how many minutes early were you?
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I totally forgot that I am having meeting at my work place. All of sudden, I remembered that meeting through a hint given by my colleague while having discussion about our project work. I have to present a topic which I didn't prepare yet. Meeting is at 1.15pm. OMG! It's already 12.30 pm. Within few minutes I went to the meeting place with my topic. When I entered the meeting hall, the time was 12.53pm. I was happy to know that I arrived 22 minutes earlier.
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I need some help with this, please explain well. It's Trigonometry with right triangles, please let me know if you need a better
andreyandreev [35.5K]

Answer:

x = 12

Step-by-step explanation:

First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.

Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.

Next get x alone by making the equation: x=tan^-1(5/23).

Then put it into the calculator and round to get 12.

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