Use the segment addition postulate to write three equations using the diagram below

Mathematics

1 answer:

creativ13 [48]3 years ago

8 0

Answer:

$PQ + QR = PR$ => equation 1

$RS + ST = RT$ => equation 2

$PR + RT = PT$ => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

$PQ + QR = PR$ => equation 1

$RS + ST = RT$ => equation 2

$PR + RT = PT$ => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

$PQ + QR + RS + ST = PT$

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<u>Explanation:</u>

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3 years ago

Read 2 more answers

Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3

Tomtit [17]

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$