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Readme [11.4K]
3 years ago
13

Please help!

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

Answer:

The measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.

Step-by-step explanation:

Given that,

∠AOC = 31°

∠BOC = 2x+10

∠AOB = 4x-15

As we can seen from the figure that,

∠AOC = ∠AOB + ∠BOC

Put all the values,

31 = 4x-15+2x+10

31 = 6x-15

31+15 = 6x

46 = 6x

x = 7.7

∠BOC = 2(7.7)+10 = 25.4°

∠AOB = 4(7.7)-15 = 15.8°

So, the measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.

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Write the equation of the line that passes through the given points. (-2,2.5) and (0,-4.5)
lilavasa [31]

Answer: y = -3.5x - 4.5

suppose: the equation of the line is y = ax + b ( a ≠ 0 )

because the line passes through (-2;2.5) => 2.5 = -2a + b

the line passes though (0;-4.5) => -4.5 = b

=> b = -4.5

   2.5 = -2a + b

=> a = -3.5

    b = -4.5

=> the equation of the line is y = -3.5x - 4.5

Step-by-step explanation:

6 0
3 years ago
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Find the volume of the solid below.
Ksju [112]

Answer: 960 cm cubed.

Explanation:

The formula is 1/2 * l * w * h

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Hope it helps :)

3 0
3 years ago
23 POINTS AND WILL GET BRAINLIEST!!
Phoenix [80]

The difference in percentage of youngest and oldest age groups is 15.4%

<h3>The percentage from 11 to 20</h3>

Start by calculating the total number of people, as follows

People = 102 + 36 + 66 + 150 + 78 + 60 + 90 + 11 + 9

Evaluate

People = 602

The number of people in the age group 11 to 20 is:

Group = 36

So, the percentage is

Percentage = 36/602

Percentage = 6.0%

Hence, the percentage from 11 to 20 is 6.0%

<h3>The percentage from 31 to 40</h3>

The number of people in the age group 31 to 40 is:

Group = 150

So, the percentage is

Percentage = 150/602

Percentage = 24.9%

Hence, the percentage from 31 to 40 is 24.9%

<h3>The percentage from 71 to 80</h3>

The number of people in the age group 71 to 80 is:

Group = 11

So, the percentage is

Percentage = 11/602

Percentage = 1.8%

Hence, the percentage from 71 to 80 is 1.8%

<h3>The lowest percentage</h3>

This is the percentage of age group 81 to 90

And, the percentage is

Percentage = 9/602

Percentage = 1.5%

Hence, the lowest percentage on the chart is 5%

<h3>The percentage from 51 to 60 and 61 - 70 combined</h3>

The number of people in the age group 31 to 70 is:

Group = 60 + 90 = 15-

So, the percentage is

Percentage = 150/602

Percentage = 24.9%

Hence, the percentage from 51 to 60 and 61 - 70 combined is 24.9%

<h3>The difference in percentage of youngest and oldest</h3>

The youngest is 0 to 10 and the oldest is 81 to 90.

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Oldest = 9

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Difference = 102 - 9

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6 0
2 years ago
Log(base 6)6+log(base 6)(x-5)=log( base 6)6
Gekata [30.6K]

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

NOTE: log₆6 = 1

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  1      + log₆(x - 5) =    1

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                    x - 5  =  1

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