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GrogVix [38]
3 years ago
13

A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

Vertically opposite angles

Step-by-step explanation:

Given

\theta = 42^\circ

Required

What else can measure \theta = 42^\circ

The question has missing options. So, I will give a general explanation.

Using the attached image as a point of reference.

Given that:

\theta = 42^\circ

The value of b is calculated as:

b = \theta

Because b and \theta are vertically opposite angles

<em>This gives:</em>

<em></em>b = 42^\circ<em></em>

<em></em>

<em>So, one possible answer to the question is a vertically opposite angle</em>

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-3x+6/2 &lt;12 there is no divison sign so its -3x+6 over 2
Vaselesa [24]

Answer:

x > −3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract 3 from both sides.

Step 3: Divide both sides by -3.

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3 years ago
Purchasing A regional survey found that 70% of all families who indicated an intention to buy a new car bought a new car within
zheka24 [161]

Answer:

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B) = 0.3362

Step-by-step explanation:

Let the event that a family that intends to buy a car be I

Let the event that a family does not intend to buy a car be I'

Let the event that a family buys a car in those 3 months be B

Let the event that a family does not buy a car in those 3 months be B'

Given,

P(B|I) = 0.70

P(B|I') = 0.10

P(I) = 0.22

P(I') = 1 - P(I) = 1 - 0.22 = 0.78

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B)

The conditional probability P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

So,

P(B|I) = P(B n I) ÷ P(I)

P(B n I) = P(B|I) × P(I) = 0.70 × 0.22 = 0.154

P(B|I') = P(B n I') ÷ P(I')

P(B n I') = P(B|I') × P(I') = 0.10 × 0.78 = 0.078

P(B) = P(B n I) + P(B n I') = 0.154 + 0.078 = 0.232

P(B') = 1 - 0.232 = 0.768

P(I'|B) = P(B n I') ÷ P(B)

= 0.078 ÷ 0.232 = 0.3362

Hope this Helps!!!

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3 years ago
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Step-by-step explanation:

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3 years ago
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest
jeka94
42: 2,3,7
2 x 3 x 7 = 42

4 0
2 years ago
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