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2 years ago

AAS theorem SSS postulate SAS postulate ASA postulate Which one?

Mathematics

2 answers:

I am Lyosha [343]2 years ago

6 0

Answer:

ASA is the correct postulate

Step-by-step explanation:

ASA applies when there is a side between 2 corresponding angles

SSS applies when there are three corresponding sides

SAS applies when there are 2 corresponding side and one angle inbetween

AAS applies when there are corresponding angles but no side inbetween.

valentina_108 [34]2 years ago

3 0

Answer:

ASA postulate

Step-by-step explanation:

You have 2 angles that are congruent and also 1 side is congruent

BUT

the side(S) must be in between the angles

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same

masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

$z=\dfrac{72-64}{2.7}=2.96296296\approx2.96$

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0

2 years ago

What is the least common multiple of 2, 3, and 20?

tia_tia [17]

Answer:

Step-by-step explanation:

The least common multiple of 2 and 20 is 20.

The only factor that is shared with 20 and 3 is 1. Therefore, the least common multiple will have to be 20*3, which is 60.

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2 years ago

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Another easy one

andreyandreev [35.5K]

The limit is equivalent to the value of the derivative of $\cos x$ at $x=\dfrac\pi2$ . (See definition of derivative)

$(\cos x)'=-\sin x\implies (\cos x)'\bigg|_{x=\pi/2}=-\sin\dfrac\pi2=-1$

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2 years ago

How you write 980,000 in scientific notation?

MatroZZZ [7]

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer: 9.8 × 10 (4 squared)

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2 years ago

2.1 x 10^10 OVER 7 x 10^17

vlabodo [156]

2.1 x 10^10/ 7 x 10^17
= 3 x 10^-8

hope this helps and have a great day :)

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3 years ago

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