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Alinara [238K]
3 years ago
12

Help me with this please

Mathematics
1 answer:
Nostrana [21]3 years ago
8 0
Check out the image attachment for one way to draw this problem out. Notice how angles AEC and DEB are vertical angles, so that means they are congruent angles

(measure of angle AEC) = (measure of angle DEB)
6x + 20 = 10x
6x + 20-6x = 10x-6x ... subtract 6x from both sides
20 = 4x
4x = 20
4x/4 = 20/4 ... divide both sides by 4
x = 5

The value of x is 5. 

Let's check the answer
6x + 20 = 10x
6*5 + 20 = 10*5 ... replace every x with 5
30+20 = 50
50 = 50
We have confirmed the answer.

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A hair dryer has a resistance of 11. 5. What current does it conduct when it is plugged into a wall outlet that provides 120 V?
Nata [24]

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

<h3>Ohms law</h3>

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required

Current I

Substitute

I = V/R
I = 120/11.5
I = 10.4A

Hence  the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

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6 0
2 years ago
a carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. describe the dimensions of the carton using cubes
Alik [6]
<span>Volume of the carton=1000 cubic inches.
Dimensions of the carton are 10 inches by 10 inches by 10 inches</span><span>10*10*10 = 1000*1*1*1 

Hoped this helped!
Happy Studying

</span><span>
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3 0
3 years ago
An equation is shown below:
meriva
<span>4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = </span>\frac{24}{8}

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}
7 0
3 years ago
Which point-slope equation represents a line that passes through (3, â€"2) with a slope of negative startfraction 4 over 5 endfr
Feliz [49]

The required equation of a line is y = 9/5 (4x - 12)

Given-

The point from which the line passes through is (3,2)

The slope of the given line m is -4/5.

Equation of the line

The linear equation of a line can be represented by a set of points on a graph using the equation of the line.

The standard form of the line passing through the point x₁, y₁

The slope m is given by,

m = (y - y₁) / (x - x₁)

Put the values of points and slope in the above equation, we get,

-4/5 = (y - 2) / (x - 3)

-4/5(x - 3) = y -2

-4x/5 + 12/5 = y - 2

-1/5 (4x - 12) + 2 = y

y = 9/5 (4x - 12)

The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)

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5 0
1 year ago
A football team had a total of 33 players. One third of the players were seniors. How many players were underclassmen?
nataly862011 [7]

Answer: 22

Step-by-step explanation:

33 x \frac{1}{3} = 11

33 - 11 = 22

5 0
2 years ago
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