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LiRa [457]
3 years ago
15

A. It is not possible to determine if the triangles are congruent

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

C. ∆ABD ≅ ∆CBD by the SSS Postulate

Step-by-step explanation:

We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.

The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.

From the diagram shown,

AB ≅ CB,

AD ≅ CD

BD = BD

We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.

Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate

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The following data points represent the weight (in kilograms) of 5 randomly selected dogs at the pound.
Tomtit [17]

The standard deviation of the data set is 19.3

<h3>How to find the standard deviation of the data set?</h3>

The dataset is given as:

82, 94, 105, 68, 57

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (82 + 94 + 105 + 68 + 57)/5

Evaluate

Mean = 81.2

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}

So, we have:

SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]

This gives:

SD = √[1490.8/4]

So, we have:

SD = 19.3

Hence, the standard deviation of the data set is 19.3

Read more about standard deviation at

brainly.com/question/4514629

#SPJ1

8 0
1 year ago
Select all the points that are on the graph of the line:<br> 2x + 4y=20
Firlakuza [10]

Answer:

B=10

Step-by-step explanation:

worked it out on a graph on the internet

5 0
2 years ago
Help please
user100 [1]

Answer:

31 (i.e 3 tens and 1 unit)

Step-by-step explanation:

217 can be split up as,

2 hundreds, 1 tens, and 7 units.

186 can be split up as,

1 hundred, 8 tens and 6 units

If we solve straight we'll have

(2-1)hundreds + (1-8)tens + (7-6)units.

(1-8)tens will give a negative value, complicating the operation.

To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes

1 hundred, 11 tens and 7 units.

The operation becomes

(1-1)hundreds + (11 - 8)tens + (7-6)units

= 0 hundred + 3tens + 1 unit

= 3 tens + 1unit

= (3 x 10) + 1 = 31

4 0
3 years ago
11. A wave has a wavelength of 125 meters is moving at a speed of 20 m's. What is its frequency?
olga_2 [115]

Answer:

.16hertz

Step-by-step explanation:

3 0
3 years ago
HURRY!!
ankoles [38]

Answer: A. 8x+13

Step-by-step explanation:

9+4(2x-1)+8

Use distributive property

9+8x-4+8

Combine like terms

8x+13

4 0
3 years ago
Read 2 more answers
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