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nadya68 [22]
2 years ago
14

What is the measure of AngleDCF? Three lines extend from point C. The space between line C D and C E is 75 degrees. The space be

tween lines C E and C F is 54 degrees. The measure of AngleDCF is degrees.
Mathematics
2 answers:
Eddi Din [679]2 years ago
4 0

Answer:

129 degrees

Step-by-step explanation:

.

Ainat [17]2 years ago
3 0

Answer:

129 degrees

Step-by-step explanation:

Space from D and E = 75

Space from E and F = 54

Space from D and F = 75 + 54

=> Space from D and F = 129 degrees

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Which triangle is a translation of triangle P?
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2 years ago
The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?
lozanna [386]

Answer: SECOND OPTION.

Step-by-step explanation:

Given the following point identified as "A":

A(-1,4)

You can identify that the x-coordinate of the point is:

x=-1

And its y-coordinate is:

y=4

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.

Therefore, you can conclude that the rule that best describe the translation of the point A(-1,4) is the following:

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Then, the point translated is:

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6 0
3 years ago
Read 2 more answers
Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W
rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

                                                   = 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0
3 years ago
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