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4 years ago

If you know that two triangles are congruent, you know that any unmarked corresponding parts are also congruent by

1 answer:

6 0

<span>The SSS, SAS, ASA, AAS, and HL theorems. These theorems state that if any of those combinations of angles or sides are congruent, the triangles are congruent. That means that you can apply it in reverse, because if two triangles are congruent then SSS, SAS, ASA, AAS, and HL (if a right triangle) are also all congruent.</span>

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In which of the tables below x and y are inversely proportional? Find the constant of variation.

sertanlavr [38]

Answer:

In Table (b)

$k=30$

Step-by-step explanation:

By definition, Inverse proportion equations have he following form:

$y=\frac{k}{x}$

Where "k" is the Constant of proportionality.

Solving for "k":

$k=yx$

Having the values of "x" and "y" given in each table, you can check if the products of "x" and "y" is equal to a constant value.

Then:

(a) For $x=3;y=8$ :

$(8)(3)=24$

For $x=4;y=6$ :

$(6)(4)=24$

For $x=5;y=4.8$ :

$(4.8)(5)=24$

For $x=5.5;y=4$ :

$(4)(5.5)=22$

Since the product of the values of "x" and "y" is not constant, they are not inversely proportional.

(b) For $x=0.1;y=300$ :

$(300)(0.1)=30$

For $x=0.5;y=60$ :

$(60)(0.5)=30$

For $x=75;y=0.4$ :

$(0.4)(75)=30$

For $x=100;y=0.3$ :

$(100)(0.3)=30$

Notice that the Constant of proportionality is:

$k=30$

Therefore "x" and "y" are inversely proportional.

8 0

3 years ago

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondent

igor_vitrenko [27]

<h2>Answer with explanation:</h2><h2></h2><h3>The confidence interval for population proportion is given by :_</h3>

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

Where : $\sqrt{\dfrac{p(1-p)}{n}}=E$ is the margin of error , n is the sample size , p is the sample proportion of success and $\alpha$ is the significance level.