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irina [24]
2 years ago
5

Find the value of x:

Mathematics
2 answers:
tiny-mole [99]2 years ago
8 0

I think x=6............

Ket [755]2 years ago
4 0

Answer:

x=6

Step-by-step explanation:

The angles are alternate exterior angles, which are equal

19x-4 = 110

Add 4 to each side

19x -4+4 = 110+4

19x = 114

Divide by 19

19x/19 = 114/19

x=6

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How to round 94000.00 two decimal places
swat32

Answer:

94000.00 is already in two decimal places.

Step-by-step explanation:

Every number after the decimal point represent a place in decimal.

One Decimal place      = .0

Two Decimal place      = .00

Three Decimal place   = .000

Four Decimal place     = .0000

3 0
3 years ago
Owen’s rectangular garden has a length of (x+3) feet and a width of (x−4) feet. If the area of the garden is 18 square feet, wha
Alexxandr [17]

Answer:

  length: 9 ft

  width: 2 ft

Step-by-step explanation:

This can be worked using a quadratic equation, or it can be worked by considering factors of the area value.

__

<h3>difference in dimensions</h3>

The difference in length between the long side (x+3) and the short side (x-4) is ...

  (x +3) -(x -4) = 3+4 = 7 . . . . feet

<h3>area factors</h3>

The area formula is ...

  A = LW

The given area is 18 square feet, so we want to find numbers that multiply to give 18 and that differ by 7 in their values. Here are the integer factors of 18:

  18 = 1×18 = 2×9 = 3×6

Of these factor pairs, the values 2 and 9 differ by 7.

The garden is 9 feet long and 2 feet wide.

_____

<em>Additional comment</em>

We can check to see if these numbers are consistent with the given expressions:

  x+3 = 9  ⇒  x = 6

  x -4 = 6 -4 = 2 . . . . the other dimension we found

__

If you solve this using a quadratic equation, you will find that dimensions -2 ft and -9 ft also pop out. That is x +3 = -2, or x = -5 is also a solution to the quadratic. Of course, that is an extraneous solution, which we avoid by considering only positive factors of 18.

The quadratic equation we're referring to is A=18 ⇒ (x+3)(x-4) = 18.

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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mr Goodwill [35]
Y = 0 + 2

Since it is a horizontal line, the slope is m = 0.

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Answer:

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