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3 years ago

19. Find m a.) 63 b.) 117 c.) 73 d.) 107

Mathematics

1 answer:

Kay [80]3 years ago

6 0

For this case we have a pentagon shown, that is, it has 5 sides. By definition, the sum of the internal angles of a pentagon is given by:

540 degrees

So:

$96 + 118 + 104 + x + 115 = 540\\433 + x = 540\\x = 540-433\\x = 107$

Now we have to:

$A + x = 180\\A = 180-x\\A = 180-107\\A = 73$

Answer:

Option C

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Help will mark brainlest

3241004551 [841]

Answer:

Step-by-step explanation:

82+87+83+77+70+80+88= 567

Then you divide that answer by the number of numbers you added by which is 7.

567/7= 81 so 83 was the missing number

6 0

3 years ago

This shape is made using three semicircles The smaller semicircle have diameters of 10cm Calculate the shaded area Take 3.142 an

AleksandrR [38]

Answer:

The shaded area is 314.2 cm²

Step-by-step explanation:

Here we note that the shape consists of two small circles and one larger circle

The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,

Therefore,

Diameter of larger semicircle = 2 × 10 = 20 cm

Based on the diagram, the shaded area is observed to be;

Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle

Since the diameter and therefore the areas of the two small semicircles are equal, we have;

Shaded area = Area formed by the complete larger semicircle = Area of semicircle formed by larger diameter or 20 cm

∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².

6 0

2 years ago

The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.

laiz [17]

Answer:

208.82 ; 61.33

Step-by-step explanation:

Given the data:

Year Quarter Profit ($1000s)

1 1 45

1 2 51

1 3 72

1 4 50

2 1 49

2 2 45

2 3 79

2 4 54

3 1 42

3 2 58

3 3 70

3 4 56

The 3 period moving average :

Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²

1 _ 1 ___45 __

1 _ 2 __ 51 __

1 _ 3 __ 72 __

1 _ 4 __ 50 ______________56 ____ 36

2 _ 1 __ 49 ______________57.67__ 75.17

2 _ 2__ 45 ______________57 ____ 144

2 _ 3__ 79 ______________48 ____961

2 _ 4__ 54 ______________57.67 _ 13.47

3 _ 1__ 42 ______________59.33__300.33

3 _2 __ 58 ______________58.33__ 0.11

3 _ 3__ 70 ______________51.33__ 348.57

3 _ 4 __56 ______________56.67__0.45

MSE = Σ(Pt - Ft)² ÷ n

MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9

= 208.82

Forecast for next quarter :

(58 + 70 + 56) / 3 = 184 /3 = 61.33

8 0

3 years ago

Pls help meeeeeeeeeeeee

Assoli18 [71]

Answer:

3x/16+1/4

Step-by-step explanation:

5 0

2 years ago

Reptile [31]

Answer:

It's the third option: (x^2 - 5)(x - 7).

Step-by-step explanation:

x^3 – 7x^2 – 5x + 35

= x^2(x - 7) - 5(x - 7) The (x - 7) is common so we have:

(x^2 - 5)(x - 7).

6 0

3 years ago