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sergey [27]
3 years ago
14

31 and 81 are in the bottom corners of the triangle X is at the top . What is X?

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer:

The top angle of the triangle is, X = 68°.

Step-by-step explanation:

Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.

Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.

In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°

⇒ 31° + 81° + X = 180°

⇒ X = 68°

Therefore, the top angle of the triangle is 68°. (Answer)

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3 years ago
What is the angle of L​
Murrr4er [49]

Answer:

<h2><u><em>54°</em></u></h2>

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°,

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3 years ago
3. In 1862, two companies were given the rights to build a railroad from Omaha, Nebraska to
densk [106]

Answer:

Step-by-step explanation:

Interesting bit of trivia if true.

The central Pacific Railway had a 24 month head start. Each month let them go 8.75 miles, so the total distance the rail went was 24*8;75 = 210 miles. They built this before the Union Pacific had done 1 mile of track.

So now when the Union Pacific started building, there remained 1590 - 210 miles of track to be laid. 1590 - 210 = 1380 miles of track.

The rest is pretty straight forward. Between the two rail companies, they built 28.75 miles of track a month.

Therefore the number of months = 1380/28.75 = 48 months.

The project took (in total) 48 + 24 = 72 months to build.

The Union Pacific built 48 * 20 = 960 miles of rail

The Central Pacific built 72 * 8.75 = 630 miles of rail

Total distance = 1590 miles which is the stated total.

Answers

Total Time = 72 months.

Union Pacific distance built = 960 miles

Central Pacific distance built = 630 miles

5 0
4 years ago
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ohaa [14]
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3 years ago
A gerbil cage,priced at $18, is discounted 20% for one week, and then this price is marked up 20%. is the price back to 20% expl
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3 years ago
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