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3 years ago

Is it possible to prove lines m and n are parallel given the following angle marks?

Mathematics

1 answer:

ollegr [7]3 years ago

8 0

Answer:

7) Yes

8) Yes

Step-by-step explanation:

7) Use the Same-Side Interior Angles postulate

8) Use Vertical Angles

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What does 18 tens and 20 ones equal

Rudiy27

18 tens= 180
20 ones= 20
180+20= 200
200

6 0

3 years ago

Read 2 more answers

Which shoes the four team polynomial and factored form x2+6x-27?

Ronch [10]

Factor x^2 + 6x - 27 using the AC method.
(x - 3)(x + 9)
Hope this helps! :)

5 0

3 years ago

In a sample of 60 electric motors, the average efficiency (in percent) was 85 and the standard deviation was 2. Section 05.01 Ex

jasenka [17]

Answer:

95% confidence interval for the mean efficiency is [84.483 , 85.517].

Step-by-step explanation:

We are given that in a sample of 60 electric motors, the average efficiency (in percent) was 85 and the standard deviation was 2.

So, the pivotal quantity for 95% confidence interval for the population mean efficiency is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\mu$ = sample average efficiency = 85

$\sigma$ = sample standard deviation = 2

n = sample of motors = 60

$\mu$ = population mean efficiency

<em>So, 95% confidence interval for the mean efficiency, </em> $\mu$ <em> is ;</em>

P(-2.0009 < $t_5_9$ < 2.0009) = 0.95

P(-2.0009 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.0009 ) = 0.95

P( $-2.0009 \times {\frac{s}{\sqrt{n} }$ < ${\bar X - \mu}$ < $2.0009 \times {\frac{s}{\sqrt{n} }$ ) = 0.95

P( $\bar X -2.0009 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.0009 \times {\frac{s}{\sqrt{n} }$ ) = 0.95

<u>95% confidence interval for</u> $\mu$ = [ $\bar X -2.0009 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.0009 \times {\frac{s}{\sqrt{n} }$ ]

= [ $85 -2.0009 \times {\frac{2}{\sqrt{60} }$ , $85 +2.0009 \times {\frac{2}{\sqrt{60} }$ ]

= [84.483 , 85.517]

Therefore, 95% confidence interval for the population mean efficiency is [84.483 , 85.517].

8 0

3 years ago

Can you solve it ????

Dima020 [189]

Angle ABD=87 degrees
angle ABC+angle CBD= angle ABD
Therefore, 9x-1+6x+58=87
15x+57=87
15x=87-57
15x=30
x=30/15
x=2

Angle ABC= 9x-1
=9(2)-1
=18-1
=17 degrees

7 0

3 years ago

How many number are a units away from 0, if a>0?

NikAS [45]

The number of numbers which are a units away from 0 if a>0 is; 2 numbers.

<h3>Distance between numbers on the number line</h3>

by convention, the distance between two numbers on the number line is usually a positive number.

On this note, since the required numbers are a units away from zero, it follows that;

|a - 0| = a units

|0 - a| = a units.

On this note, only 2 numbers are a units away from zero according to the given condition.