Answer:
If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning
Step-by-step explanation:
You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)
edit: Question 4) is similar following the AA statement for triangles
Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are
rectangles!
Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.
Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.
Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor
Answer:
At most 9.12 joules should be required for the bottom 80% of bottled water
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
![\mu = 8.7, \sigma = 0.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%208.7%2C%20%5Csigma%20%3D%200.5)
How much energy should be required for the bottom 80% of bottled water?
At most the 80th percentile.
The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.
![X - 8.7 = 0.84*0.5](https://tex.z-dn.net/?f=X%20-%208.7%20%3D%200.84%2A0.5)
![X = 9.12](https://tex.z-dn.net/?f=X%20%3D%209.12)
At most 9.12 joules should be required for the bottom 80% of bottled water
Answer:it’s
Step-by-step explanation:because I gave up