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Alik [6]
3 years ago
6

Solve for the length x in the right triangle shown below

Mathematics
1 answer:
Degger [83]3 years ago
4 0
The answer should be b x=29.2
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Complete the definition of the piecewise defined
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2 years ago
Find the length of EF
Lisa [10]

Answer:

9

Step-by-step explanation:

1. First, we need to set up an equation to find the value of x and then the length of EF.

2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of: 3x - 28 + 3x - 30 + x = 33

3. (Solving for x)

Step 1: Simplify both sides of the equation.

  • 3x - 28 + 3x - 30 + x = 33
  • (3x+3x+x) + (-28-30)=33
  • 7x - 58 = 33

Step 2: Add 58 to both sides.

  • 7x - 58 + 58 = 33 + 58
  • 7x = 91

Step 3: Divide both sides by 7.

  • \frac{7x}{7} = \frac{91}{7}
  • x = 13

4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.

  • 3(13)-30
  • 39 - 30
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Therefore, the length of EF is 9.

7 0
3 years ago
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by
Anastaziya [24]

We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

We can see that the number of units of water being used by customers.

The number of units of water doesn't depend on the total number of gallons of water used.  

Therefore, the number of units u is an independent variable.

The value of the total number of gallons is totally depends on the number of units used.

Therefore,  the total number of gallons of water used g is a dependent variable.

So, we can conclude following statements:

1) g is the dependent variable.

2) u is the independent variable.

6 0
3 years ago
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