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Gekata [30.6K]
2 years ago
15

Choose the abbreviation of the postulate or theorem that supports the conclusion that WAS NOT. Given: A = O, W = N, SW = TN.

Mathematics
1 answer:
BartSMP [9]2 years ago
4 0
The answer is ASA. 
Given that ∠A = ∠O, ∠W = ∠N, SW = TN, this shows that the two angles (∠A and ∠W) and the included side SW of the first triangle are equal to the two angles (∠O and ∠N) and the included side TN of the second triangle. This means that third angles ∠S and ∠T are also equal. Therefore, the two triangles ΔWAS and ΔNOT are congruent based from the ASA Postulate.
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The test scores of 32 students are listed below. Construct a boxplot for the data set and include the values of the 5-number sum
zhenek [66]

Answer:

Boxplot is constructed using quartiles and 5 No. summary means including minimum value of data, 1st quartile, 2nd quartile, 3rd quartile and maximum value of data.

As data already in increasing order, we find quartiles using the following formula,

value\:of\:K_{th}\:Quartile\:,\, Q_k=\:value\:of\:(\frac{k\times{(n+1)}}{4})\,\:th\,observation

where n = No. of Observations.

∴, 1st Quartile,

Q_1 = \frac{1\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=8.25\,th\:observation\\\: \:\:= 8th\,+0.25(9th-8th)\\\:\:\:= 55 + 0.25(57-55)\\\:\:\:= 55.5

2nd Quartile,

Q_2 = \frac{2\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=16.5\,th\:observation\\\: \:\:= 16th\,+0.5(17th-16th)\\\:\:\:= 69 + 0.5(70-69)\\\:\:\:= 69.5

3rd Quartile,

Q_3 = \frac{3\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=24.75\,th\:observation\\\: \:\:= 24th\,+0.75(25th-24th)\\\:\:\:= 79 + 0.75(81-79)\\\:\:\:= 80.5

Minimum value of data = 32 & Maximum value of data = 99

So, Values of 5 no. that are to ne include in Boxplot are 32, 55.5, 69.5, 80.5, 99.

BoxPlot is attached with this ans.

7 0
3 years ago
What is the height of a cylinder with volume 6,908 cubic feet and with a radius of 10 feet? (Round to the nearest integer)
Eduardwww [97]
21.99 but rounds to 22
4 0
3 years ago
Rectangles
snow_lady [41]

Answer: rectangles are congruent if both of them have the opposite sides are equal

Step-by-step explanation: rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

6 0
2 years ago
Read 2 more answers
Josiah ran 4/5 mile. How many tenths are equal to 4/5 mile? Use bar diagrams to find the answer.
solmaris [256]
Ok so u multiply the numbers by 2 since 5x2 =10 so u do that to the top num and bottom so
5x2 and 4x2 and then replace the4/5 with the answers you get
8 0
3 years ago
Which statement about the area of a right triangle is true?
timurjin [86]

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

5 0
3 years ago
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