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
I haven't got a calculator right now but substitute the values into the cosine law so:
8² = 5² + c² - (2 x 5 x c x cos58)
and then use sine law to find B
sin58/8 = sinB/5
Answer:
This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.
295/110,000. Hopefully this helped.
Answer:
The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.
Step-by-step explanation:
For an exponential distribution we have
The expected value μ = 80
No of trails n = 200
Thus we have
The deviation is related to expected value and probability as
Thus the values between the given deviation is
Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.