<span>In triangle WXZ,
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
0.11 would be to the nearest hundredths
Answer:
Felipe is correct
Step-by-step explanation:
Note the difference between consecutive terms is constant, that is
16 - 24 = 8 - 16 = 0 - 8 = - 8
This indicates the sequence is arithmetic
The explicit formula for an arithmetic sequence is
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 24 and d = - 8, thus
f(n) = 24 - 8(n - 1) = 24 - 8n + 8 = 32 - 8n ← Felipe's answer
I assume you are being asked to solve these equations. Since there wasn't an explanation as to how you are expected to solve them, I chose to demonstrate how to use a calculator matrix function. You can find matrix calculators online. My instructions are for a TI-84
Push the blue 2nd button then push x^-1 button (it says matrix above this button in blue)
Arrow over to edit to change the dimensions of the matrix and to put in your values. You have 3 equations (3 rows) and 4 terms (4 columns) so you put a 3x4 in for the dimension and the coefficients (see images).
You use the rref option in the math column in matrix to calculate the answer.
The numbers at the end are the solutions. x = -4, y = 2, z = -1
Answer:
0% probability cab tires depths would be shallower than 0.25cm.
Step-by-step explanation:
Problems of normally distributed samples can be 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 problem, we have that:
What is the probability cab tires depths would be shallower than 0.25cm.
This probability is the pvalue of Z when X = 0.25. So
has a pvalue of 0.
0% probability cab tires depths would be shallower than 0.25cm.
