As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:

Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

Then, we know that the hypothenuse of the big triangle is m+p, so we have

which implies

The expression we have is:

And we are given some values for x and y:

The first step will be to substitute the given values into the expression:

The next step is to solve 4^2 which is equal to 16:

And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:

Solving this final multiplication we get the result:

Answer: 512
Puedes multipilar 1/4 con 4, que te da 4/16. Sumas los dos y quedas con 11/16. Restas 16 de 11, y tu resultado sera 5/16.
Answer:
c) -1.75°
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 0, standard deviation of 1:
This means that 
Find the reading that separates the bottom 4% from the others.
This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.




The correct answer is given by option c.