Answer:
Step-by-step explanation:
Answer:
10/45 == 2/9
Step-by-step explanation:
Answer: C) similar, SAS similarity, triangle LQR
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Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
The five number summary data for the data-set is:
<h3>What is the five number summary of a data-set?</h3>
The five number summary of a data-set is composed by:
- The smallest and the greatest value.
- The first quartile, which is the median of the bottom 50%.
- The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.
- The third quartile, which is the median of the upper 50%.
For this problem, we have that:
- The smallest value is of 0.
- The greatest value is of 11.
The data-set has 10 elements, which is an even cardinality, hence the median is the <u>mean of the 5th and the 6th elements</u>, hence:
Me = (5 + 5)/2 = 5.
The first half of the data-set is:
0, 2, 2, 4.
Hence the first quartile is:
Q1 = (2 + 2)/2 = 2.
The second half of the data-set is:
5,5,7,11.
Hence the third quartile is:
Q3 = (5 + 7)/2 = 6.
More can be learned about the five number summary data of a data-set at brainly.com/question/17110151
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