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Gre4nikov [31]
3 years ago
11

from a point P the length of the tangent to a circle is 24 cm and the radius is 7 cm find the distance of P from the centre​

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0

Answer:

22.96 cm

Step-by-step explanation:

Let the point of contact of the tangent with the circle be R.

Let the centre of the circle be O.

We are told that from Point P, the length of the tangent is 24 cm.

Thus, PR = 24 cm

Now, the radius will be perpendicular to the tangent at the point of contact with the circle.

Thus, ORP will form a right angle triangle where ∠R = 90°

Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.

Thus;

OP = √(24² - 7²)

OP = √527

OP = 22.96 cm

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Consecutive angles in a parallelogram are supplementary. What is the value of x?
Naddika [18.5K]

Step-by-step explanation:

HERE,

\angle{PQR=20+2x  } ⠀

\angle{ QRS=6x } ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

\angle{PQR}+\angle{QRS}=180 ⠀

\tt{20+2x+6x=180  } ⠀

\tt{8x+20=180  } ⠀

\tt{8x=180-20  } ⠀

\tt{8x=160  } ⠀

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3 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Find the value of the variable and MN if N is between M and Q. Round to the nearest hundredth if necessary. 
Rudiy27
<em><u>Answer:</u></em>
MN = 4 units

<u><em>Explanation:</em></u>
<u>1- getting the value of m:</u>
<u>We are given that:</u>
NQ = 4m and NQ = 12
<u>This means that:</u>
12 = 4m
\frac{4m}{4} =  \frac{12}{4}
m = 3

<u>2- getting MQ:</u>
<u>We are given that:</u>
MQ = 5m + 1
<u>We have calculated that:</u>
m = 3
<u>Therefore:</u>
MQ = 5(3) + 1 = 15 + 1 = 16 units

<u>3- getting MN:</u>
We are given that point N is located somewhere between points M and Q.
<u>This means that:</u>
line MQ can be divided into two portions: MN and NQ
<u>This also means that:</u>
length of MQ = length of MN + length of NQ

<u>We have calculated that:</u>
MQ = 16 units
<u>We are given that:</u>
NQ = 12 units
<u>Therefore:</u>
16 = length of MN + 12
length of MN = 16 - 12
length of MN = 4 units

Hope this helps :)
3 0
3 years ago
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