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anyanavicka [17]
2 years ago
11

Triangle ABC is congruent to triangle DEF .

Mathematics
2 answers:
Anastaziya [24]2 years ago
7 0

Answer:

Step-by-step explanation:

Alright lets get started.

Please refer the diagram I have attached.

For both triangles should be congruent, adjacent sides should be congruent or adjacent angles should be same.

BC = EF Which is not matching with our option.

AC = DF Which is not matching with our option.

angle B = angle E Which is not matching with our option.

angle A = angle D adjacent angle, whiich is matching with our option.

Hence angle A = angle D for both triangles should congruent.  :   Answer

Hope it will help :)

Oksi-84 [34.3K]2 years ago
6 0
The statement m∠A=m∠D is true
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Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 40 who visit college professors all
Oduvanchick [21]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Given values:

38, 40, 41, 45, 48, 48, 50, 50, 51, 51, 52, 52, 53, \\\\54, 55, 55, 55, 56, 56, 57, 59, 59, 59, 62, 62, 62, \\ 63, 64, 65,66, 66, 67, 67, 69, 69, 71, 77, 78, 79, 79

Total staff=40

In point a:

To calculate the median number first we arrange the value into ascending order and then collect the even numbers of calls that were also made. Its average of the middle terms is thus the median.

The midterms =55 and 59 so,

Median = \frac{55+59}{2} = \frac{114}{2}=57

In point b:

First-quarter Q_1 = \frac{1}{4} \text{number of 8th call}

                           =\frac{1}{4} \times  30 th \\\\= 7.5 th

The first quarterlies are 7.5th \  \ that  \ is = (7+0.5)th\ \  term

therefore the multiply of 0.5  by calculating the difference of the 7th and 8th term are:

=0.5 \times 0= 0 \\\\\to Q_1 = 50+0=50 \\\\\to Q_3=\frac{3}{4} \text{number of 8th call} \\\\=\frac{3}{4} \times  30 th \\\\=22.5 \ th  = (22+0.5)th  \ \ term

therefore the it is multiply by the 0.5 for the difference of the 22nd and 23rd term:

= 0.5 \times 1=0.5 \\\\\to Q_3= 63+0.5=63.5

In point c:

First decile D_1 = \frac{1}{18} \text{number of 8th call}

= \frac{1}{10} \times  30 th \\\\= 3rd \ \ term\\\\\to D_1= 41 \\\\\to D_9= \frac{9}{10} \times  8\  th\  call\\\\=\frac{9}{10} \times  30 th \\\\=27th \ \ term\\\\\to D9 = 67

In point d:

quartiles are:

Q_1= 51.25 \\\\Q_3=66

The right answers for the decile are:

D_1=45.3 \\\\ D_9=76.4

As for D) P_{33} = 53.53will be available.

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Answer:

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