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emmainna [20.7K]
2 years ago
13

Using Sarai’s measurements, Line 3 must be parallel to Line 5 according to which postulate or theorem?

Mathematics
1 answer:
trasher [3.6K]2 years ago
6 0

Using Sarai's measurements, Line 3 must be parallel to Line 5 according to (A) Converse of Alternate Exterior Angles Theorem.

Alternate Exterior Angles theorem states that, "If two lines are parallel and they are intersected by same straight line then the alternative exterior angles formed by the figure are equal to each other."

Converse of the above theorem states that, "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."

Here in Sarai's measurement we can see that Line 3 and Line 5 are intersected by one straight line and the formed alternate exterior angles both are 65, which shows they are equal to each other.

Hence by Converse of Alternate Exterior Theorem we can say that Line 3 and Line 5 are parallel to each other.

So, Line 3 must be parallel to Line 5 according to Converse of Alternate Exterior Angles Theorem.

Hence Option (A) is correct.

Learn more about Alternate Exterior Angles here -

brainly.com/question/2398628

#SPJ10

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According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
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Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

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Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

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Step-by-step explanation:

Hope it helps.

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