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slava [35]
2 years ago
4

If mBAC = 55°, what is mDBC?A. 20°B. 80°C. 70°D. 35°

Mathematics
1 answer:
Gemiola [76]2 years ago
8 0
Looking at the diagram BAC is an isosceles triangle.

According to the isosceles triangle theorem. angle BAC and Angle BCA are equal.

BAC = 55
BCA = 55

Since we know two of the angles we will use the angle addition postulate to find angle ABC.

ABC + BAC + BCA = 180
ABC + 55 + 55 = 180
ABC + 110 = 180
ABC = 70

Line BD is angle bisector of angle B.

SO angle DBC is half the measure of angle ABC.

DBC = 70/2
DBC = 35

The answer is D.

Hope this helps :)
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A six-sided fair die is rolled 4 times in a row. What is the probability of getting a 4 only on the last trial?
GuDViN [60]
P = Number of ways of getting only 4 at the last trial / Total number of waysNumber of ways of getting only 4 at the last trial = 5 * 5 * 5 * 1 = 125 (for the first three trials, all but 4 is permissible (6 - 1 = 5 ways), and for the last trial, only 4 is permissible (1 way)).Total number of ways = 6 * 6 * 6 * 6 = 1296.P = 125/1296.


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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2 years ago
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Joanne is installing weatherstripping around a 30-in. × 25-in. control box. how much weatherstripping does she need, in inches a
GrogVix [38]
<span>The control box’s dimensions are 30 inches by 25 inches. Therefore, the perimeter of the box is 30 inches + 25 inches + 30 inches + 25 inches = 110 inches. There are 12 inches per foot. 12 goes into 110 nine times, with two inches left over. Therefore, 9 feet and 2 inches of weatherstripping is needed.</span>
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2 years ago
Which of the following options have the same value as 60\%60%60, percent of 949494?
garri49 [273]
<h2>Answer:</h2>

The correct options are:

        Choice A

       Choice C

and  Choice E

<h2>Step-by-step explanation:</h2>

We are asked to find the value of:

                   60% of 94

We know that: it is represented as:

  60\%\ of\ 94=\dfrac{60}{100}\times 94\\\\\\=0.6\times 94

Choice A)

           0.06\cdot 940

We know that:

    0.6\times 94 could also be written as:

0.06\times 940

Since we multiplied and divide by 10 such that:

=0.6\times 94\times \dfrac{10}{10}\\\\\\=\dfrac{0.6}{10}\times (94\times 10)\\\\\\=0.06\times 940

Hence, option: A is correct.

Choice B)

                  0.6\cdot 940

This option is incorrect.

Since by choice A we get that the correct expression is:   0.06\cdot 940

Choice C)

             We get:

        \dfrac{3}{5}\cdot 94

This option is correct.

Since,

60\%\ of 94\ is:\\\\\\=\dfrac{60}{100}\cdot 94\\\\\\=\dfrac{3}{5}\cdot 94

Choice D)

                             60\cdot 94

This option is incorrect because the actual expression is:

         0.6\cdot 94

Choice E)

               [/tex]\dfrac{60}{100}\cdot 94[tex]

This is the correct expression.

5 0
2 years ago
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Vocabulary quiz scores for the 20 students in Mr. Harley’s class are shown in the table. Use this data to answer questions 4 and
CaHeK987 [17]

Answer:

The mean should be 80.5. This means the average number of test scores is 80.5. The mean absolute deviation should be 15.5. This means the average of the values are less than the mean by  about 15.5.

4 0
2 years ago
A client would like a logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 in
Valentin [98]

Answer:

to find the dimension I would get 3.6/4.5=x/70 amd u get 3.6*70=4.5x and u get 252=4.5x and x=56

Step-by-step explanation:

3 0
2 years ago
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