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Anettt [7]
2 years ago
13

Leo is constructing a tangent line from point Q to circle P. What is his next step? circle P and point Q on the outside of circl

e P, a segment is created from points P and Q, a set of arcs are created from point P above and below segment PQ that are greater than half the distance of segment PQ, another set of arcs are created from point Q above and below segment PQ that are greater than half the distance of segment PQ, the intersections of the created arcs are connected with a line creating point R on segment PQ Construct a circle from point Q with the radius PR. Construct the perpendicular bisector of segment PQ. Construct a circle from point R with the radius RP. Construct the perpendicular bisector of segment RQ.

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

Answer:

The correct option is;

Construct a circle from point R with the radius RP

Step-by-step explanation:

To draw a tangent, the following steps are required

1) A line is drawn connecting the point to the center of the circle to which the tangent is to be drawn

2) The perpendicular bisector of the line constructed to get the mid point of the line

3) From the midpoint of the line found in the step above the compass is adjusted to reach the center of the given circle and a circular arc is drawn across the circumference of the given circle

4) The point of intersection of the arcs and the circumference of the given circle are the tangent points

Therefore, the correct option is to construct a circle from point R with the radius RP.

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Huixian needs to pack 171 pens, 63 pencil, and 27 erasers into identical bags so that each item is equally distributed among the
luda_lava [24]

Answer:

87 gift bags

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
2 years ago
Read 2 more answers
A bowl of flower seeds contains 5 petunia seeds and 15 begonia seeds. Riley calculated the probability that a random selected se
Vlad1618 [11]

Answer:

Riley divided the number of petunia seeds by the number of begonia seeds, getting \frac {5}{15} = \frac {1}{3}. What you actually need to do to calculate the probability of selecting a petunia seed is divide the number of petunia seeds by the <em>total</em> number of seeds. 5 petunia seeds and 15 begonia seeds makes 20 total seeds, so you divide 5 petunia seeds by 20 total seeds to get \frac {5}{20} = \frac {1}{4}.

7 0
2 years ago
Yesterday's World Cup final had viewing figures of 138,695,157.<br><br> What is the value of the 3?
crimeas [40]

Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

i = 0;

v(7) is the value of the 7

v(7) = 7*10^{0} = 7

i = 1;

v(5) is the value of the 5

v(5) = 5*10^{1} = 50

i = 2;

v(1) is the value of the 1

v(1) = 1*10^{2} = 100

i = 3;

v(5) is the value of the 5

v(5) = 5*10^{3} = 5,000

i = 4;

v(9) is the value of the 9

v(9) = 9*10^{4} = 90,000

i = 5;

v(6) is the value of the 6

v(6) = 6*10^{5} = 600,000

i = 6;

v(8) is the value of the 8

v(8) = 8*10^{6} = 8,000,000

i = 7;

v(3) is the value of the 3

v(3) = 3*10^{7} = 30,000,000

The value of the 3 is 30,000,000.

8 0
2 years ago
What is the distance, to the nearest whole number, from K (5, 6) to P (1, 1)?
Elza [17]

Answer:

<h3>The answer is 6 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

K (5, 6) P (1, 1)

The distance from K to P is

|KP|  =  \sqrt{ ({5 - 1})^{2} +  ({6 - 1})^{2}  }  \\  =  \sqrt{ {4}^{2} +  {5}^{2}  }  \\  =  \sqrt{16 + 25}  \\  =  \sqrt{41}  \\  = 6.403124

We have the final answer as

<h3>6 units to the nearest whole number</h3>

Hope this helps you

5 0
2 years ago
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