Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:

Answer:

Step-by-step explanation:
Given
on solving this mixed fraction we get;

Now adding these fractions by same denominator method.
![-\frac{29\times3}{10\times3} +[-\frac{64\times2}{15\times2} ]\-\frac{87}{30} +[-\frac{128}{30}]\ = -\frac{215}{30}](https://tex.z-dn.net/?f=-%5Cfrac%7B29%5Ctimes3%7D%7B10%5Ctimes3%7D%20%2B%5B-%5Cfrac%7B64%5Ctimes2%7D%7B15%5Ctimes2%7D%20%5D%5C-%5Cfrac%7B87%7D%7B30%7D%20%2B%5B-%5Cfrac%7B128%7D%7B30%7D%5D%5C%20%3D%20-%5Cfrac%7B215%7D%7B30%7D)
Mean, mu=44 cm
standard deviation, sigma = 4 cm
X=41
We calculate the Z-value for 41 cm
Z(41)=(41-mu)/sigma=(41-44)/4=-0.75
The probability that x>X
P(x>X)
=P(x>41)
=1-P(x<41)
=1-0.2266274 (from standard normal distribution tables for left-tail of Z=-0.75)
= 0.7733726
Answer:
°
Step-by-step explanation:
An alternative method is to use the exterior angle.
the sum of the exterior angles is ALWAYS 360 °
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are 18 sides ( n = 18 ) , then each exterior angle is:
°
The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.
∴ each interior angle is 180° - 20° = 160°