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belka [17]
3 years ago
9

One angle of a triangle measures 94°. The other two angles are congruent.

Mathematics
2 answers:
shtirl [24]3 years ago
4 0
Awnser is 3 is your awnser
sveticcg [70]3 years ago
3 0

Answer:

Each congruent angle measures 43°.

Step-by-step explanation:

One angle of a triangle measures 94° and the other two, congruent angles each measure <em>x</em>°.

Recall that the interior angles of a triangle must total 180°. Hence:

\displaystyle 94 +  2x = 180

To find the measure of each congruent angle, solve for <em>x</em>. Subtract:

2x = 86

And divide. Hence:

x = 43

In conclusion, each congruent angle measures 43°.

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Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

                               Online                             By Mail            Total

             Male             12                                      8                   20

           Female           24                                     6                   30      

             Total             36                                     14                  50    

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

\frac{6}{50}P(Pays bill by mail/Customer is female) = \frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}

Now, Probability that customer is female =  \frac{30}{50}

Also, Probability that customer pays bill by mail and is female =   \frac{6}{50}

So, Required probability =  \frac{\frac{6}{50} }{\frac{30}{50} }

                                         =  \frac{6}{50}\times \frac{50}{30}

                                         =  \frac{1}{5}   =  0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

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