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aalyn [17]
2 years ago
10

What's the value of X?

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0
As they both are vertical angles, their magnitude would be same
3x - 25 = 6x - 80
6x - 3x = 80 - 25
3x = 55
x = 55/3

In short, Your Answer would be 55/3

Hope this helps!
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The lateral edge PA of a triangular pyramid ABCP is perpendicular to the base and PA = 2sqrt5 in. The base edges AB = 10 in, AC
DIA [1.3K]

Answer:

PQ = √84 = 2√21 in ≈ 9.165 in

Step-by-step explanation:

The base edges AB = 10 in, AC = 17 in, and BC = 21 in

Q ∈ BC and AQ is the altitude of the base.

Let BQ = x in ⇒ CQ = (21 - x) in

ΔAQB a right triangle at Q

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ΔAQC a right triangle at Q

∴ AQ² = AC² - CQ² = 17² - (21-x)²  ⇒(2)

Equating (1) and (2)

∴  10² - x² = 17² - (21-x)²

∴ 10² - x² = 17² - (21² - 42x + x²)

∴  10² - x² = 17² - 21² + 42x - x²

∴ 10² - 17² + 21² = 42x

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∵ The lateral edge PA of a triangular pyramid ABCP is perpendicular to the base

∴ PA⊥AQ

∴ ΔPAQ is a right triangle at A,

PA = 2sqrt5 in  and AQ = 8 in

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2 years ago
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about
avanturin [10]

Answer:

  • <u>The odds are 2 : 23, or about 0.09 :  1 (0.09 to 1).</u>

Explanation:

The <em>odds </em>of an event is the ratio of occurrence to non-occurrence of the event.

When you know the <em>probability</em> of an event, then you can calculate the odds by dividing the probability of occurence by the probability of non-occurrence.

Calling p the probability that an event will happen, 1 - p is the probability that it will not happen and the odds will be:

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You have p = 8% = 0.08, and 1 - p = 1 -0.08 = 0.92.

Therefore:

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