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Ilya [14]
3 years ago
5

Points N and R both lie on circle O. Line segment RQ is tangent to the circle at point R.

Mathematics
2 answers:
ANEK [815]3 years ago
4 0

Answer:

Perimeter ΔRON = 18.66 units

Step-by-step explanation:

Complete Question has these information given as well:

  • Circle with center O
  • RN = QN
  • RQ = 5\sqrt{3}
  • ON = 5 units
  • RQ is tangent

<em><u>Now, we draw an image according to the information given. THe image drawn is attached.</u></em>

<em><u /></em>

Looking at the figure, we can say the perimeter of triangle RON would be:

RON = OR + ON + RN

We know according to tangent theorem, QN = QR

RN is equal to that as well and RN = 5\sqrt{3}

Now,

OR and ON is the radius, which is "5"

Perimeter of RON = 5 + 5 + 5\sqrt{3} = 10 + 5\sqrt{3} = 18.66 units

<u>Perimeter ΔRON = 18.66 units</u>

LUCKY_DIMON [66]3 years ago
4 0

Answer:

18.7 units

Step-by-step explanation:

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Step-by-step explanation:

Let the 1st part of your answer be x , so the 2nd part will be 40-x . From the given information, we can write the equation: (1/4)x = (3/8) × (40-x) . We can simplify this into (1/4)x = (120-3x)/8 ; 8x = 480-12x ; 8x+12x = 480 ; 20x = 480 ; x = 480/20; x = 24

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3 0
3 years ago
The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?
nata0808 [166]

Answer:

(1,1)

Step-by-step explanation:

we have

y=-2x+3 ----> equation A

y=x ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point both graphs is the point (1,1)

see the given graph

therefore

The solution is the point (1,1)

Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

<u><em>Verify</em></u>

Substitute the value of x=1 and y=1 in each equation and analyze the result

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<em>Equation B</em>

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The ordered pair satisfy the equation B

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