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aleksandrvk [35]

3 years ago

7

Which postulate can be used to prove that the triangles are congruent?

1 answer:

34kurt3 years ago

3 0

2 angle and I side AAS

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The GCD(a, b) = 6, the LCM(a, b)=180. Find the least possible value of a+b.

Fantom [35]

The factors of 180 are
(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).

The GCD of 6 is the largest positive integer that divides 180.
Therefore the required factors of 180 are a=6 and b=30 or vice versa.
a + b = 6 +30 = 36

Answer: 36

3 0

3 years ago

Help!! I’ll mark brainly list but explain

julia-pushkina [17]

Answer:

See below, please.

Step-by-step explanation:

$\frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8}$

7 0

3 years ago

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

marin [14]

Answer:

$Range = 85$

$\sigma = 28.71$

$Interval = [666.78, 781.62]$

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

$Range = Highest - Least$

From the dataset:

$Highest = 772$

$Least = 687$

So:

$Range = Highest - Least$

$Range = 772-687$

$Range = 85$

The standard deviation is:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

First, calculate the mean

$\bar x = \frac{769 +691 +............+715}{25}$

$\bar x = \frac{18105}{25}$

$\bar x = 724.2$

So, the standard deviation is:

$\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}$

$\sigma = \sqrt{\frac{20604}{25}}$

$\sigma = \sqrt{824.16}$

$\sigma = 28.71$

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

$Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]$

$Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]$

$Interval = [666.78, 781.62]$

4 0

3 years ago

Is 343 a prime factor

djverab [1.8K]

Yes, it is!
It is a prime factor

5 0

4 years ago

Read 2 more answers

If f(x)=-2x+8 determine the value of y for each x value 7,8,9

monitta

Answer:

y= 22, 24, 26

Step-by-step explanation:

2(7)+8

14+8

22

2(8)+8

16+8

24

2(9)+8

18+8

26

3 0

3 years ago