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nadezda [96]
3 years ago
13

Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true?

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

             B.   m∠A + m∠C = m∠B + m∠D

Step-by-step explanation:

To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)

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What is the greatest common factor shared by 40 and 20?<br> Answer here<br> SUBMIT
leonid [27]

Answer:

20

Step-by-step explanation:

factors of 20 = 1 2 4 5 10 20

factors of 40 = 1 2 4 5 8 20 10

therefore 20 is the greatest common

6 0
2 years ago
Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. ... Line repres
andreyandreev [35.5K]

Answer: Rate > 12 miles/day

x > 12

She must run more than 12 miles each day

Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. Which number line represents the number of miles Mona must run each day if she wants to meet her goal?

answer choices

x ≥ 10

x = 12

x > 10

x > 12

Step-by-step explanation:

To complete more than 60 miles a week.

After running 24 miles during the first 4 days

We are left with (7-4) days = 3 days

And also,

(60-24) miles to complete the weekly target

> 36 miles (more than 36miles)

Therefore, the number of miles needed to cover per day in the next 3 days is given as.

Rate > distance/time

Rate > 36miles/3days

Rate > 12 miles/day

7 0
3 years ago
If a cube has a volume of 13,824 cubic meters what is the edge length
ratelena [41]
24 cubic meters because 24*24*24=13,824.
6 0
3 years ago
The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three
melisa1 [442]

Answer:

68% of these phones last 3.87 years.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The average lifetime of a certain new cell phone is 3.4 years.

This means that m = 3.4, \mu = \frac{1}{3.4} = 0.2941

So

P(X \leq x) = 1 - e^{-0.2941x}

68% of these phones last how long (in years)?

This is x for which:

P(X \leq x) = 0.68

P(X \leq x) = 1 - e^{-0.2941x}

Then

0.68 = 1 - e^{-0.2941x}

e{-0.2941x} = 0.32

\ln{e{-0.2941x}} = \ln{0.32}

-0.2941x = \ln{0.32}

x = -\frac{\ln{0.32}}{0.2941}

x = 3.87

68% of these phones last 3.87 years.

4 0
3 years ago
3x + 8 = 9 + 3x - 14<br> What’s the answer
irina1246 [14]

Answer:

0 = -13

Step-by-step explanation:

8 0
3 years ago
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