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3 years ago

If all pairs of consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram.

Mathematics

2 answers:

Triss [41]3 years ago

6 0

The answer to your question is TRUE! [apex]

____ [38]3 years ago

3 0

This is true.

It comes from the same side interior angles theorem which says that same side interior angles are supplementary, only if the lines are parallel.

You might be interested in

3c-4 (a+b) if a =-1, b=2 and c = 1/3

Ksju [112]

Plug in each variable.

3(1/3)-4(-1+2)

Simplify

1-4(-1+2)

-3(1)

-3

6 0

2 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

3 years ago

NEED HELP ASAP PLEASE

Keith_Richards [23]

It’s the second answer
<1=58 <2=122 <3=58

7 0

3 years ago

Tiffany pays 40$ for 160 minutes of talk time on her cell phone.How many minutes of talk time does she get per dollar?

jonny [76]

To find how many minutes of talk time is available per dolla, you have to divide 160 (number of minutes) by 40 (cost) 160/40 = 4 Therefore, it's 4 minutes per dollar

8 0

3 years ago

Factor completely x^2 + 8x + 15.<br> O (x+3)(x+5)<br> O (x+3)(x-5)<br> O X+1)(x+15)<br> O(x+1)(x-15)

Maksim231197 [3]

Answer:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3) <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

3 0

2 years ago