Answer: The first question is a corrosponding angle, which means the measure is the same. So, angle KRQ is 146°.
And QRN is 128°.
It is given in the question that
M is the MIDPOINT OF FG.

Since M is the midpoint of FG, therefore GM is half of FG. That is


Therefore

And FM is 13 too .
Answer:
a)F
b)A
c)F
d)F
Step-by-step explanation:
a)3+4=7 which is the total number of pupils in class
So, the fraction should be 3/7✅not 3/4❌
b) The girls in the class are 4 and the total number of pupils in class are 7. So, the fraction is correct✅.
c) The number of boys in class is 3✅ which is given in the ratio. Not 6❌
d) If you add the both numbers in the ratio, you will get the total number of pupils which is 7✅not 12❌
Hope this will help ya!
Answer: Prokhorova is more outstanding.
Step-by-step explanation: To compare scores from different distributions, first standardize it:
z-score = 
where
x is the individual mean you want to compare
μ is the mean of the population
σ is standard deviation
For <u>Gertrud Bacher</u>:
z-score = 
z-score =
(s)
The negative sign indicates Bacher's mean is less than the mean
For <u>Yelena Prokhorova</u>:
z-score = 
z-score = 2 (cm)
The positive sign indicates Prokhorova's mean is more than the mean.
Using z-score table, you determine the percentiles are:
For Bacher: Percentile = 5.5%
For Prokhorova: Percentile = 97.7%
Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.