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liberstina [14]
3 years ago
10

PLEASE HELP!! A circle is divided into three central angles that have measures in the ratio 2:13:15. find the measure of the lar

gest angle.
Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

First angle = 24'

Second angle = 156'

Third angle = 180'

Step-by-step explanation:

Given:

Ratio of circles angle = 2:13:15

Find:

All three angle

Computation:

Sum of all angle from center = 360'

So,

First angle = 360[2/(2+13+15)]

First angle = 360[2/(30)]

First angle = 24'

Second angle = 360[13/(2+13+15)]

Second angle = 360[13/(30)]

Second angle = 156'

Third angle = 360[15/(2+13+15)]

Third angle = 360[15/(30)]

Third angle = 180'

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The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
iogann1982 [59]

Answer:

Step 2: 4(2) + 4(3x)

Step-by-step explanation:

By definition, the area of a rectangle is given by:

Area = Length × Width

In this case, we know that:

Area = 8 + 12x

Width = 4

Therefore:

Step 1: 8 + 12x

Step 2: 4(2) + (4)(3x)

Step 3: 4(2 + 3x)

Therefore, the dimensions of the rectangle are 4 and 2 + 3x.

The mistake was made in STEP 2. Instead of 4(2) + 4(x2) it should be  4(2) + 4(3x). Which is the second option.

5 0
3 years ago
What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.
VashaNatasha [74]

Answer:

  F.  8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

  BD/DE = AD/BD

  h/4 = 16/h

  h^2 = 64 . . . . . . . multiply by 4h

  h = 8 . . . . . . . . . . take the square root (matches selection F)

_____

<em>Comment on this geometry</em>

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

8 0
3 years ago
Zara has a rectangular garden. The length of her garden is 12 feet and the width is 7 feet. She extends the width
prisoha [69]

Given the perimeter and length of the garden, the width of the garden was extended by 4 feet

<h3>How to find width of the garden</h3>

  • Length of the garden = 12 feet
  • Width of the garden = 7 feet

  • Width extension =( 7 + w) feet

  • Perimeter = 46 feet

Perimeter = 2(length+ width)

46 = 2{12 + (7 + w)}

46 = 2(12 + 7 + w)

46 = 2(19 + w)

46 = 38 + 2w

46 - 38 = 2w

8 = 2w

w = 8/2

w = 4 feet

Learn more about perimeter:

brainly.com/question/24571594

4 0
2 years ago
Help me find the solution set for 8x-3=2(x-1/2)
daser333 [38]
8x -3 = 2(x-1/2)
⇒ 8x -3= 2x -2*(1/2)
⇒ 8x -3 = 2x -1
⇒ 8x -2x= -1+ 3
⇒ 6x = 2
⇒ x= 2/6
⇒ x= 1/3

The final answer is x= 1/3~
6 0
3 years ago
1. {26, 69, 30, 27, 19, 54, 27}<br><br> Mean: <br> , Median: <br> , Mode: <br> , Range:
den301095 [7]

Answer:

Mean:36

Median:27

Mode:27

Range:50

Step-by-step explanation:

Mean: 19+26+27+27+30+53+69/7=36

Median: The middle number in the sequence when arranged in ascending order which is 27

Mode: The number that appeared more than others which is 27

Range: This is the difference between the largest number and the lowest number in the sequence which is 50.

IF THIS HELPS PLEASE MARK ME AS BRAINLIEST

5 0
2 years ago
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