2 years ago

Please help!!!

Mathematics

1 answer:

STALIN [3.7K]2 years ago

7 0

Answer:

B BC=EF

Step-by-step explanation:

You know that angle B=angle E and that angle C=angle F

You need to knows that segment BC=segment EF because they are between the known angles (ASA, Angle Side Angle).

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sammy [17]

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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:

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

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

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

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2 years ago

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marshall27 [118]

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2 years ago

Which statement is true? A. ABD DBC by SSS B. ABD DBC by SAS C. ABE DBC by SAS D. ABE CBD by SSS

Bumek [7]

Answer:

D. ABE =CBD by SSS.

Step-by-step explanation:

Given that AB = BD and BE = BC, the lengths of AE and CD are equal to each other. Hence, triangles ABE and BCD are congruent by SSS Theorem. The answer is D.

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3 years ago