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2 years ago

Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AB = 8x − 7, what is x? Round to the nearest tenth.

Mathematics

2 answers:

svet-max [94.6K]2 years ago

6 0

Answer: 6.0

Step-by-step explanation:

By CPCTC, $\overline{AB} \cong \overline{DE}$ .

So,

$8x-7=41\\8x=48\\x=\boxed{6.0}$

Nadya [2.5K]2 years ago

5 0

The side AB is equal to the side DE. Then the value of x is 6.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle ABC is congruent to triangle DEF.

If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.

Then the side AB is equal to the side DE.

AB = DE

8x - 7 = 41

8x = 48

x = 6

Then the value of x is 6.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

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How I got this answer:

Define the following events

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B = event of picking a red paper clip on the second drawing

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Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

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P(B|A) = (1/7) * (5/2)

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A more concrete example:

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P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

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