X- (-12)=25 <br><br> ( FIND X)

Quadrilateral ABCD is inscribed in this circle.

Sunny_sXe [5.5K]

Answer: $m\angle A=116\°$

Step-by-step explanation:

The missing figure is attached.

For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.

Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.

Knowing that, you can write the following equation:

$x+28\°=180\°$

Now you must solve for "x" in order to find its value. This is:

$x=180\°-28\°\\\\x=152\°$

Then:

$m\angle D=152\°$

You know that:

$m\angle A=(x-36)\°$

Therefore, since you know the value of "x", you can substitute it into $m\angle A=(x-36)\°$ and then you must evaluate, in order to find the measure of the angle A. This is:

$m\angle A=152\°-36\°\\\\m\angle A=116\°$

4 0

3 years ago

What is 2,168.433 rounded to the nearest mile?

olga nikolaevna [1]

Answer:

Suggestion 13 is a correction of the Constitution of California ordered during 1978, through the drive interaction. The drive was endorsed by California electors on June 6, 1978. It was maintained as established by the US High Court on account of Nordlinger v. Hahn, 505 U.S. 1.Proposition 13 is an amendment of the Constitution of California enacted during 1978, by means of the initiative process. The initiative was approved by California voters on June 6, 1978. It was upheld as constitutional by the United States Supreme Court in the case of Nordlinger v. Hahn, 505 U.S. 1.

8 0

2 years ago

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Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2

Assoli18 [71]

Answer:

The answer is

Step-by-step explanation:

The line of g(x) is steeper and has a lower y-intercept

:)

That’s the answer <3

3 0

3 years ago

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12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode

Ede4ka [16]

Answer:

Mean: 15

Median: 15

Mode: 15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.

If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

$\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}$

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15 ⇒ 9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

$\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}$

Therefore, the median is 15.

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

6 0

2 years ago

Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes. What is the ratio of Joe's frogs and snakes to hamsters?

Morgarella [4.7K]

Answer:

6:3:8

Step-by-step explanation:

We need to find the amount of:

Frogs= Joes has 6

Snakes= Joe has 3

Hamster= Joe has 8

So, the ratio of Joe's frogs and snakes to hamsters is 6: 8 : 3.

Hope that helped! :)

6 0

2 years ago

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X- (-12)=25 ( FIND X)