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otez555 [7]
3 years ago
14

5x-6=3x-9 .......................................................................................

Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Answer:

-3 / 2

Step-by-step explanation:

  1. 5x - 6 = 3x - 9
  2. 5x - 6 + 6 = 3 x - 9 + 6
  3. 5x = 3x - 3
  4. 5x - 3x = 3x - 3 - 3x
  5. 2x = - 3
  6. 2x / 2 = -3 / 2
  7. The X = -3 / 2
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Select the statement that best justifies the conclusion based on the given information.
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Answer:

  c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

<em>Additional comment</em>

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is <em>relevant to the question being asked</em>.

8 0
3 years ago
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle
dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

5 0
3 years ago
8. Find g.<br> g + 13 + 25 = 53<br> g=
Shkiper50 [21]

Answer:

Step-by-step explanation:

to find this all you need to do is subtract 13 and 25 from the left side of the equation to get the answer in the form of g=. in this case g= 15

6 0
3 years ago
Please I need help? And can u help me with the other questions I asked on my profile?
emmasim [6.3K]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line

m = \frac{5-2}{8-2} = \frac{3}{6} = \frac{1}{2}

the line crosses the y-axis at (0, 1) ⇒ c = 1

y = \frac{1}{2} x + 1 ← equation in slope- intercept form



8 0
3 years ago
An executive in an engineering firm earns a monthly salary plus a Christmas bonus of $9300. If she earns a total of $86,100 per
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86,100-9300=76,800

76,800/12=6,400

Monthly salary is 6,400.

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4 years ago
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