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vovikov84 [41]
3 years ago
9

Triangle DEF is a right triangle. Angle F is a right angle and m∠E=29°. What is m∠D?

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0

Answer:

The Answer To Your Question Is 61

Step-by-step explanation:

Step One. 29 + 90 = 119

We Got 90 <u>Because If Angle DEF Is A Right Triangle That Means That A Right Triangle Is 90 Degrees.</u>

Step Two 180 - 119 = 61

We Got 180 Because <u>No Matter The Triangle Every Triangle Is 180 Degrees.</u>

<u></u>

Your Answer To This Question Is 61 Degrees.

Hope I Helped You With This Question And Have A Nice Day (:

Aleksandr-060686 [28]3 years ago
5 0

All triangles have 180o in them when the 3 angles making them up are added together.


Givens

F = 90

E = 29

D = ???


Equation

<D + <E + <F = 180


Substitute and solve

<D + 90 + 29 = 180

<D + 119 = 180

<D = 180 - 119

<D = 61

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The tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm2 and a stand
Elanso [62]

Answer:

95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

Yes, this data suggest that the tensile strength was changed after the adjustment.

Step-by-step explanation:

We are given that the tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm 2 and a standard deviation of 2.15.

A machine was recently adjusted and a sample of 50 items were taken to determine if the mean tensile strength has changed. The mean of this sample is 74.28. Assume that the standard deviation did not change because of the adjustment to the machine.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                         P.Q. = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean strength of 50 items = 74.28

            \sigma = population standard deviation = 2.15

            n = sample of items = 50

            \mu = population mean tensile strength after machine was adjusted

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

So, 95% confidence interval for the population mean, \mu is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level of

                                                  significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u><em>95% confidence interval for</em></u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                 = [ 74.28-1.96 \times {\frac{2.15}{\sqrt{50} } } , 74.28+1.96 \times {\frac{2.15}{\sqrt{50} } } ]

                 = [73.68 kg/mm2 , 74.88 kg/mm2]

Therefore, 95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

<em>Yes, this data suggest that the tensile strength was changed after the adjustment as earlier the mean tensile strength was 72 kg/mm2 and now the mean strength lies between 73.68 kg/mm2 and 74.88 kg/mm2 after adjustment.</em>

8 0
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Suppose you have to use right-triangle trigonometry to find the apothem of a regular polygon. Which is greater, the apothem or t
asambeis [7]
The apothem represents one side of the right triangle to be solved. Specifically, it represents the height of the triangle.
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17,800 is correct answer or the third one
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Degger [83]

Square numbers are numbers with an odd number of factors. For example, 1 and 4 are square numbers.

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skad [1K]

Answer:

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Step-by-step explanation:

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