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2 years ago

These figures are congruent. What is the length of side LM?

Mathematics

2 answers:

Anestetic [448]2 years ago

5 0

I think it would be 5

sergiy2304 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

congruent means sides are equal

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If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No

Effectus [21]

If A and B are independent, then $P(A\cap B)=P(A)P(B)$ .

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)$

$P(A\cup B)=0.5+0.2-0.5\cdot0.2$

$\boxed{P(A\cup B)=0.6}$

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

$P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)$

$P(A^c\cap B^c)=1-0.6$

$\boxed{P(A^c\cap B^c)=0.4}$

c. DeMorgan's law can be used here too:

$P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)$

$P(A^c\cup B^c)=1-0.5\cdot0.2$

$\boxed{P(A^c\cup B^c)=0.9}$

4 0

2 years ago

Please help me i’m desperateeee!!!

lara31 [8.8K]

Answer:

option no.D

6y+15x

Step-by-step explanation:

hope it helps

7 0

2 years ago

Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm

mash [69]

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances $\frac{1}{8}\ inch$ each time

Annalee hammered 4 times

So, total advancement of nail= $4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch$

3 0

2 years ago

If the Quadratic functions for the equations are graphed, which is the widest?

Amanda [17]

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is

y = 2x^2

7 0

2 years ago

Five over seven plus blank over six equals fifty one over forty two

NISA [10]

Answer:

The blank is 3

Step-by-step explanation:

1 - Give the blank a variable

x = our blank

2 - Write it out

$\frac{5}{7} + \frac{x}{6} = \frac{51}{42}$

3 - Get the denominators equal

$\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}$

4 - Simplify

$\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}$

5 - Solve for the numerators

30+7x = 51

-30 -30

7x = 21

x = 3

6 0

2 years ago