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Debora [2.8K]
2 years ago
8

Find the value of x in each case:

Mathematics
1 answer:
goblinko [34]2 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

∠ FEB = 180 - 4x , so

180 - 4x + x = 147, that is

180 - 3x = 147 ( subtract 180 from both sides )

- 3x = - 33 ( divide both sides by - 3 )

x = 11

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Factorise : x^2+x-72 Step by Step​
Ivan

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

     = x^2 - 8x + 9x - 72

     = (x^2 - 8x) + (9x - 72)

     = x(x - 8) + 9(x - 8)

     = (x + 9)(x - 8)

4 0
3 years ago
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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

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6 0
3 years ago
Find the value of x in 2(x+1)=4​
Anni [7]

Answer:

x = 1

Step-by-step explanation:

We need to solve for x by isolating the variable.

First, expand the parentheses:

2(x + 1) = 4

2 * x + 2 * 1 = 4

2x + 2 = 4

Then subtract by 2:

2x + 2 - 2 = 4 - 2

2x = 2

Finally, divide by 2:

2x/2 = 2/2

x = 1

Thus, x = 1.

Hope this helps!

5 0
3 years ago
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If you increase your bicycle speed by 5.6 miles per hour, the speed will be 17.9 miles per hour. What is your bicycle speed now?
Andru [333]

Answer:

12.3 mph

Step-by-step explanation:

17.9 - 5.6 = 12.3

7 0
3 years ago
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Mark spends $36 at a basketball game. He buys a T-shirt for $22. He then buys a bottle of water for $4 and 2 tacos. How much is
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Answer:

each taco is $7.

Step-by-step explanation:

In total he spent $36. He bought a shirt for $22 and a bottle of water for $4.

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3 years ago
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