Angle x is the largest angle in triangle xyz. Angle y is the smallest angle. How does the sum of the measures of angles y and z compare to the measure of angle x

Answers

Answer 1

Answer: Knowing that the angles of the triangle has a total of 180 degrees, so we can have the following:

x + y + z = 180
y + z = 180 - x
or
x = 180 - y - z

In this approach, we can't give the actual values since there are no values presented.

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A sandwich shop offers ham, turkey, tuna, chicken salad, and roast beef. It has Swiss, American, and provolone cheese. You can order a sandwich on white, wheat, or rye bread. If a person orders a sandwich and chooses a meat, cheese, and bread at random, how many sandwich choices are there?

Answers

5 different meats

3 different cheeses

3 different breads

5x3x3 = 15*3 = 45

there are 45 choices

Final answer:

The sandwich shop offers a total of 45 different sandwich combinations based on the given options of meats, cheeses, and breads. Each sandwich consists of one type of each category.

Explanation:

The question asked is related to the concept of combinations in mathematics. It gives a variety of choices for making a sandwich - 5 types of meats, 3 types of cheeses, and 3 types of breads. Assuming that each sandwich will have one meat, one cheese, and one type of bread, we can calculate the total combinations by multiplying the number of options in each category together. Combinations are used when the order of selection does not matter.

So, the total number of sandwich combinations would be 5 (meats) * 3 (cheeses) * 3 (breads) = 45 different sandwich choices.

Learn more about Sandwich Combinations here:

brainly.com/question/29295486

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Find an equivalent function to f(x) = 5(3)3x.

Answers

f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x

The correct result would be f(x) = 5(27)x.

f(x) = 5(3)3x

= 5*3*3*x

= 45x

So an equivalent function is f(x) = 45x

f(x) = 45x

Hope this helps.

Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.

Answers

Answer: The range is the output of our data, in standard notation represented as (x,y) where x is the input and y the output.

So the values of x are the domain, and the values of y are the range.

The set you give is : {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

You can see that the range is : {-3, 5.9, 8.3}

Notice that in the set, the point y = -3 appears two times (in different pairs), but in the range only one, because you cant repeat the same value in one set.

range is output or y
(x,y)
the range is the 2nd number
when it repeats, don't list again
range=-3,5.9,8.3

Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the appropriate increments? Year Profit 2003 $100,000 2004 $55,000 2005 −$45,000 2006 $110,000 2007 $330,000 2008 $800,000 2009 $242,000 2010 −$11,000 2011 $285,000

Answers

The right answer for the question that is being asked and shown above is that:

The value in the x axis will be the Year.
The value in the y axis will be the Year Profit.

The increment on the x axis will as is.
The increment on the y axis can either be $50,000.

Which statements are true for irrational numbers written in decimal form? A. Irrational numbers are nonterminating. B. Irrational numbers are repeating. C. Irrational numbers are nonrepeating. D. Irrational numbers are terminating.

Answers

The correct options are A and C because irrational numbers are nonterminating and nonrepeating.

Given:

Some statements for irrational numbers are written in decimal form.

Explanation:

Rational number: A rational number can be defined in the form of $(p)/(q),q\neq 0$ . Rational numbers are either terminating or repeating decimal numbers.

Examples: $(3)/(5),2.555...,4.5$ etc.

Irrational number: An irrational number cannot be defined in the form of $(p)/(q),q\neq 0$ . Irrational numbers are nonterminating and nonrepeating decimal numbers.

Examples: $√(3),\pi ,1.35742784...$ etc.

Therefore, the correct options are A and C.

Learn more:

brainly.com/question/16940513

The correct answers are

A. Irrational numbers are nonterminating; and C. Irrational numbers are nonrepeating.

Explanation:

Irrational numbers are numbers that cannot be written as rational numbers, or fractions.

Terminating decimals have a specific endpoint; this means we can find the place value of the last digit of the number and write it as a fraction (if it ends in the tenths place, it is a fraction over 10; if it ends in the hundredths place, a fraction over 100; etc.).

Repeating decimals can also be written as a fraction; for example, 0.3 repeating is 1/3; 0.6 repeating is 2/3; 0.1 repeating is 1/9; etc.

This means that irrational numbers must be nonrepeating and nonterminating.

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sends out surveys to the 5 customers who have purchased the largest number of items over the past year. Are his results likely to be representative of the population he is trying to analyze?

Answers

No.
Because, when to do some sort of analysis (such as this one), you need to take (for example) a RANDOM SAMPLE from the POPULATION of the problem that is being analyzed. In this example (problem), Pete wants to evaluate OVERALL satisfaction of customers, so he should NOT send the surveys ONLY to the customers who have purchased the LARGEST number of items, but to the randomly selected customers, in order to obtain REPRESENTATIVE results of the OVERALL satisfaction. If he sends the surveys only to the customers who have bought the largest number of items, he will obtain VERY HIGH satisfaction of customers, as results, of course, and this will not be representative results.

No.

When trying to analyze an overall satisfaction with Quality of service. The number of population he is analyzing should not be limited to a certain factor. This would cause a narrow data information gather and would not represent the entire population. The surveys should be based randomly to avoid data bias/filters and actual results would be realistic.

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Which of the following statement best describes the effect of replacing the graph of f(x) with the graph of f(x) - 3?A) the graph shifts 3 units up. B) The graph shifts 3 units down. i think is correct? C) the graph shifts 3 units left. D)the graph shifts 3 units right.