Answer:
SAS
Step-by-step explanation:
If you flip the first triangle right side up, we can see that they are congruent in the same exact spots. The two sides are congruent, as well as the angle.
Answer:
The coordinates of k are (-2,-1)
Step-by-step explanation:
Here, we are interested in calculating the coordinates of point k.
Mathematically, we will use the internal division formula for this;
This would be;
(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where m = 1 , n = 4
x1 = -2 , x2 = 8
y1 = -4 , y2 = 11
we now make the substitutions into the formula;
(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)
(x,y) = (-8-2)/5 , (-16 + 11)/5
(x,y) = -10/5 , -5/5
(x,y) = (-2, -1)
What is the outlier in the following data set:<br>
15,11,10,8,9,1,8,7,5,4,2,3, and 37?
NeTakaya
Step-by-step explanation:
The steps to find an outlier:
1. Put the data in numerical order.
2. Find the median.
3. Find the medians for the top and bottom parts of the data. This divides the data into 4 equal parts.
The median with the smallest value is called Q1. The median for all the values - usually just called the median is also called Q2. The median with the largest value is Q3.
4. Subtract...Q3 - Q1. This value is the InterQuartileRange or IQR. Remember that the range means taking the largest minus the smallest. This is a special range having to do with the quartiles.
5. Multiply...1.5 * IQR
6. Take your answer from #5 and do 2 things with it. A). Subtract it from Q1 and B) Additional to Q3.
7. Look at all your data points. If any are SMALLER than Q1 - 1.5 *IQR, they are outliers. If any are LARGER than Q3 + 1.5 *IQR, they are also outliers.
For your data....the median, Q2 is
(43+38)/2 = 40.5.
Q1 = (30+26)/2 = 28.
Q3 = (54+52)/2 = 53
The IQR is 53 - 28 = 25
1.5 * IQR = 37.5
Q1 - 37.5 = 28 - 37.5 = -9.5. There is no data value less than -9.5.
Q3 + 37.5 = 53 + 37.5 = 90.5. there is no data value greater than 90.5.
My conclusion is that there are no outliers in this data.
I hope this helps!
There are 26 letter and 5 vowels. That means that the probability is 5/26.
Hope this helps!
Answer:
(rs)(4) = 8
(r/s)(3) = 2
Step-by-step explanation:
it was on my hw.
