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4 years ago

The following triangles are congruent because ?

Mathematics

1 answer:

adelina 88 [10]4 years ago

8 0

Answer:

Step-by-step explanation:

The triangles are congruent because they are the same shape, size, and angle measure. The lines on the angles show that two angles have the same measure. The line on the line segments shows that it hads the same length.

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If f(1) =5 and f(n) = f(n-1)+2, then f(4) =

Vadim26 [7]

Answer:

3.11

Step-by-step explanation:

f(4)=f(4-1)+2

=f(3)+2

=f(3-1)+2+2

=f(2)+4

=f(2-1)+2+4

=f(1)+6

=5+6 (f(1)=5)

=11

5 0

3 years ago

at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

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6 0

2 years ago

Read 2 more answers

9. Find the number that completes the following problem. (3 + 5) + 2 = 2(+2)

kirill115 [55]

Answer:

Step-by-step explanation:

(8)+2=4

16=4

16=4•4

16=16

4 0

3 years ago

What is y=x-4;(-2,3)

Yuki888 [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Which number is the exponent in 10 by the power of 5

almond37 [142]

The exponent in the equation is the 5.

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3 years ago

The following triangles are congruent because￼￼ ?

The following triangles are congruent because ?