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KonstantinChe [14]
3 years ago
13

PR and PS are tangent to center Q. Find the measurement of angle Q.

Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0
Angle Q is supplementary to angle P (42°), so is 138°.
Veronika [31]3 years ago
5 0

Given, in the figure PR and PS are two tangents. They meet at P. Here angle P given. ∠P = 42°.

If we take a straight line PQ, it will create two triangles.

We can see here angle R and angle S both are right angles.

As here two triangles, so sum of all the angles of the triangles is 180^o + 180^o = 360^o

Now if we subtract the two right angles we will get,

360^o-90^o-90^o = 360^o-180^o = 180^o

That means ∠P+∠Q = 180°

If we substitute the value of angle P we will get,

42^o+Q = 180^o

We can get angle Q by subtracting 42 to both sides. We will get,

42^o+Q-42^o = 180^o-42^o

Q = 180^o-42^o

Q = 138^o

So we have got angle Q, the measurement of ∠Q = 138°.

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Answer:

see explanation

Step-by-step explanation:

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y = r sinΘ

with r = 54 and Θ = 69°, thus

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y = 54sin69° ≈ 50.4

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3 years ago
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Step-by-step explanation:

given x=2

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to find the value of q , you need to make q the subject in the equation as shown below

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so just substitute the value of x in the equation for the q

q = 2(2) - 4

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5 0
3 years ago
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stira [4]
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8 0
3 years ago
Read 2 more answers
A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which
Triss [41]

Answer: Hence, the probability that he will get at least one lemon is 0.70.

Step-by-step explanation:

Since we have given that

Number of cars = 30

Number of lemon cars = 10

Number of other than lemon cars = 30-10 = 20

According to question, he bought 3 cars,

we need to find the probability that you will get at least one lemon.

So, P(X≤1)=1-P(X=0)=1-P(no lemon)

Here, P(no lemon ) is given by

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so, it becomes,

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Hence, the probability that he will get at least one lemon is 0.70.

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3 years ago
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Rt=24 .. hope i helped 
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