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1 year ago

What is true about sides opposite congruent angles within a triangle?

Mathematics

1 answer:

nignag [31]1 year ago

8 0

Answer:

The converse of the base angles theorem is always true. The base angles theorem states that if two sides of a triangle are congruent the angles opposite them are also congruent. The converse of this statement is that if two angles in a triangle are congruent, then the sides opposite them will also be congruent

Step-by-step explanation:

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What is the probability of drawing the compliment of a king or a

inna [77]

Answer:

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

$n( E_{1} ) = 4 _{C_{1} } = 4$

Let E₂ be the event of the card drawn being a queen

$n( E_{2} ) = 4 _{C_{1} } = 4$

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

The probability of drawing of a king or a queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

$= \frac{4}{52} + \frac{4}{52}$

P( E₁ U E₂ ) = $\frac{8}{52}$

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards

$P(E_{1}UE_{2}) ^{-} = 1- P(E_{1} U E_{2} )$

$P(E_{1}UE_{2}) ^{-} = 1- \frac{8}{52}$

$P(E_{1}UE_{2}) ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846$

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

5 0

2 years ago

Changing decimal into fraction and percent 0.15 =

Anarel [89]

Answer:

15% & 3/20

Step-by-step explanation:

convert decimals to % by multiplying by 100

.15 * 100 = 15%

15/100

simplify

3/20

4 0

2 years ago

Read 2 more answers

The following table shows how the average constituency changes for two regional governing boards, joshua and salinas, when a new

AVprozaik [17]

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be

<h3>How to calculate the values?</h3>

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be:

= (1520 - 1232)/1232

= 288/1232

= 0.234

The relative unfairness of an apportionment that gives a new board member to salinas rather than to Joshua will be:

= (1448 - 1333)/1333

= 115/1333

= 0.086

The regional governing board that should receive the new board member is Salinas.

Learn more about tables on:

brainly.com/question/3632175

#SPJ1

5 0

1 year ago

in a class of 32 students the mean height of the 14 boys is 1.56 meters and the mean height of all 32 students is 1.151 meters.

Nimfa-mama [501]

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

( since sum of height of girls and boys is equal to the sum of height of all the students)

so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

4 0

2 years ago

News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in t

Law Incorporation [45]

The given process is an example of a cluster system.

<h3>What is the cluster system?</h3>

The clustered systems are a combination of hardware clusters and software clusters.

The hardware clusters help in sharing of high-performance disks between the systems.

The software clusters makes all the systems work together.

Each node in the clustered systems contains the cluster software.

A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).

In a cluster, each & every computer is known to be a “node”.

To know more about the cluster system click the link given below.

brainly.com/question/4804019

7 0

1 year ago