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3 years ago

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Triangle ABC is congruent to triangle XYZ. In ΔABC, AB = 12 cm and AC = 14 cm. In △XYZ, YZ = 10 cm and XZ = 14 cm. What is the p

erimeter of ΔABC? 36 cm 38 cm 40 cm 50 cm

1 answer:

daser333 [38]3 years ago

5 0

Answer: 36cm

Step-by-step explanation:

edge2020

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Coach Evans recorded the height, in inches of each player on his team. The results are shown.

marysya [2.9K]

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile $(Q_1)$

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile $(Q_3)$

Terms in arranged in ascending order:

$57,60,60,61,62,62,63,63,64$

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

$Q_1$ is median of terms $57,60,60,61$

Number of terms (n) = 4

Median = $\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60$

So, $Q_1=60$

So, 25% of the heights of a team is less than 60 inches

$Q_3$ is the median of terms $62,63,63,64$

Median = $\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63$

So, $Q_3=63$

So, 75% of the heights of a team is less than 63 inches

Interquartile range = $Q_3-Q_1=63-60=3$

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

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2 years ago

Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it?

Alenkinab [10]

Answer:

G

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

$\sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c$

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3 years ago

Find the median 13,22,21,25,15

Ber [7]

Arrange these numbers :

13, 15, 21, 22, 25

So, the median is 21

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3 years ago

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Find a26 of the sequence-2,-8,-14,-20

ddd [48]

The numbers decrease by 6.

-1, -8, -14, -20, -26, -32, -38, -44, -50, -56, -62, -68, -74, -80, -86, -92, -98, -104, -110, -116, -122, -128, -134, -140, -146

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3 years ago

5. How many even positive integers less than 600 can be written using

Alinara [238K]

Answer:

The answer to this question is: 44.

Step-by-step explanation:

The even numbers that we can form with the numbers 2,4,5 and 8 are:

2, 4, 8, 22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88, 222, 224, 228, 242, 244, 248, 252, 254, 258, 282, 284, 288, 422, 424, 428, 442, 444, 448, 482, 484, 488, 522, 524, 528, 542, 544 and 582, 584, 588.

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3 years ago