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Pachacha [2.7K]
3 years ago
6

Which theorem is the following?

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

AB + BC = 10

Where

AB  = BC --- Perpendicular bisector

So, the equation becomes

AB + AB  =10

2AB  =10

AB = 5

Recall: AB  = BC

AB = BC = 5

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Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
valentinak56 [21]

Answer:

The equation of the Parallel line to the given line is  5x+y-7=0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is  ax+by+k=0

Given straight line  5x + y -4 =0

The equation of the Parallel line to the given line is  5x+y+k=0

This line passes through the point (1,2)

             5x+y+k=0

            5(1)+2+k=0

⇒              7+k=0

                   k =-7

<u>Final answer:-</u>

The equation of the Parallel line to the given line is  5x+y-7=0

7 0
3 years ago
2root 3 x 3 root 8 fully simplified
LuckyWell [14K]

Answer:

  • 12\sqrt{6}

Step-by-step explanation:

<h3>Given expression</h3>

  • 2 \sqrt{3} *3\sqrt{8}

<h3>Simplify the expression in steps as below</h3>

  • 2 \sqrt{3} *3\sqrt{8}  =
  • 2 \sqrt{3} *3\sqrt{2^2*2} =
  • 2 \sqrt{3} *3*2\sqrt{2} =
  • 2*6* \sqrt{3} *\sqrt{2} =
  • 12* \sqrt{3*2}  =
  • 12\sqrt{6}

Used properties in solution process:

  • \sqrt{a^2} =a
  • \sqrt{a}\sqrt{b}  =\sqrt{ab}
8 0
2 years ago
Please i need this answer in two minutes
Travka [436]

Answer: $55,489.20

Step-by-step explanation:

Given the following information :

Base salary = $10.20 per hour

Overtime pay = $10.20 * 1.5 = $15.3

Average sale per hour = $60

Tips = 20% of sale

Regular shift hour = 8hours

Work week:

3 10-hour shift = 24hrs regular (6 hrs overtime)

1 11 - hour shift = 8hrs regular (3 hrs overtime)

1 5 - hour shift = 5 hours

Total hours per week = 37hrs regular, 9hrs overtime

WEEKLY :

Income from tips = $60 * 46 * 0.2 = $552

Regular pay: 37 * 10.20 = $377.40

Overtime: 9 * $15.30 = $137.70

Total = $(137.70 + 377.40 + 552) = $1067.10

Number of weeks in a year = 52

Annual gross = $1067.10 * 52 = $55,489.20

7 0
3 years ago
Subtract the following. Write your answer in standard notation.*<br> 18-92 X 10+
charle [14.2K]

Answer:

-740

Step-by-step explanation:

18-72 equals -74

now -74 *10 equals-740

6 0
3 years ago
Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.
beks73 [17]

Answer:  Yes,  \bold{f^{-1}(x)=\dfrac{x+6}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x - 6    is a line so it is a function  because

                      it passes the vertical line test

                              and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y

8 0
3 years ago
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