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Finger [1]
3 years ago
10

Work out the size of angle x

Mathematics
2 answers:
snow_lady [41]3 years ago
7 0

Answer:

x = 117°

Step-by-step explanation:

First, find the angle the supplements angle 101°.

Using the supplementary angle (angles that add up to 180°).

180° - 101° = 79°

We now have two interior angles inside the triangle, 38° and 79°.

A triangle's total angle measures 180° in total.

So,

? + 38° + 79° = 180°

? + 117° = 180

? = 180° - 117°

? = 63°

Now like the first step we did, use the supplementary angle theorem to find x.

x + 63° = 180°

x = 180° - 63°

x = 117°

kompoz [17]3 years ago
6 0

Answer:

x = 117 degrees

Step-by-step explanation:

A triangle has 180 degrees in total.

A straight line is also 180 degrees in total.

180 - 101 = 79

Angles inside the triangle

79 + 38 = 117

180 - 117 = 63

63 degrees is the missing angle

x = 180 - 63

x = 117

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3 years ago
Use the following problem to answer questions 8 and 9. A television manufacturer has three locations where it is finally assembl
Nonamiya [84]

Answer:

The probability of finding a non-defective television is 0.9815.

Step-by-step explanation:

We are given that a television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 65%, 15%, and 20% respectively of the televisions used by the manufacture.

Quality control has determined that 1.5% produced by Plant A are defective, while plants B and C have 2.5% defective products.

Let Probability that Plant A supply televisions = P(A) = 0.65

Probability that Plant B supply televisions = P(B) = 0.15

Probability that Plant C supply televisions = P(C) = 0.20

<em>Also, let D = event that television is defective</em>

Probability that television is defective given that it is supplied by Plant A = P(D/A) = 0.015

Probability that television is defective given that it is supplied by Plant B = P(D/B) = 0.025

Probability that television is defective given that it is supplied by Plant C = P(D/C) = 0.025

<u>Now, to find the probability of finding a non-defective television firstly we will find the probability of a defective television.</u>

<em>Probability of a defective television is given by;</em>

   =  P(A) \times P(D/A) + P(B) \times P(D/B) + P(C) \times P(D/C)  

   =  0.65 \times 0.015 + 0.15 \times 0.025 + 0.20 \times 0.025  

   =  0.00975 + 0.00375 + 0.005

   =  0.0185

Now, <em><u>probability of finding a non-defective television</u></em> = 1 - Pro<em>bability of a defective television</em>

Probability of finding a non-defective television = 1 - 0.0185

                                                                                   = 0.9815

<em>Therefore, the probability of finding a non-defective television is 98.15%.</em>

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3 years ago
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Answer:

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Step-by-step explanation:

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Your teacher was really kind to give you the equation.

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