First option: correct. This is because angles WOX and XOZ are supplementary, so
Second option: correct. By the inscribed angles theorem, we have
Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.
Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means
Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.
Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have
Answer: (5^3) / (5^7) = 5^ -4
or
1 / 5^4
Step-by-step explanation:
2a+3p=18 because you don’t know how many apples or peppers you bought, all you know is how much money in total you spent which is $18
Answer:
Acute, Obtuse and right angled triangle are the three triangles on the basis of angles.
Equilateral, Isosceles and Scalene are three triangles on the basis of of sides.
The seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.
Answer:
a
b
c
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
=> 
=>
Generally the standard deviation is mathematically represented as
=> 
=>
Generally the z-score of 158 is mathematically represented as
=>
=>
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
