In which one of the following pairs of angles are the angles always equal to each other

Answers

Answer 1

Answer: Although you have not presented any choices for this question, I will proceed on discussing what the possible answer might be depending on the description you gave. The answer to this mathematical question would be vertical angles. This is because vertical angles are always equal to each other.

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Existen tres órdenes de producción en proceso. Las ordenes A y B juntas tienen 150 unidades; B y C juntas, 100 unidades, y A y C juntas, 150 unidades. ¿Cuánto tiene cada orden?

Answers

orders are a, b, c, lets write equations to represent the problem's info:
a + b = 150
b + c = 100
a + c = 150
so we have 3 unknowns and 3 equations, so we can solve.
Use the first equation:
a + b = 150
a = 150 - b
and substitute in the 3rd:
a + c = 150
150 - b + c = 150
then
b = c
and we can substitute that in the original equation:
b + c = 100
2b = 100
b = 50
c = 50
and substitute in the first equation:
a + b = 150
a = 150 - b = 150 - 50
a = 100
then a = 100, b = c = 50

What is the distance between the center and edge of a circle called

Answers

Answer:

Step-by-step explanation:

Anything from the center to the edge is the radius. It is one half of what it measures in diameter.

Answer: The radius

Step-by-step explanation:

The radius is the distance between the center point of the circle and a edge, it is half of the diameter which is the straight line passing through the center point.

There are 20 seniors serving the student council of the Cebu Institute of Technology this year. Of these, 3 have not served before, 10 served on the council in their junior years, 9 in their sophomore years, and 11 in their freshman years. There are 5 who served during both their sophomore and junior years, 6 during both their freshman and junior years, and 4 during both their freshman and sophomore years. How many seniors served on the student council during each of the four years in high school?

Answers

Answer:15 seniors served on the student council during their freshman year, 14 seniors served during their sophomore year, 16 seniors served during their junior year, and 3 seniors have never served before.

Step-by-step explanation:

Final answer:

Using inclusion and exclusion principles, we find that 2 seniors served on the student council during each of the four years in high school.

Explanation:

The problem can be solved using the Principle of Inclusion and Exclusion (PIE), a common technique in combinatorial mathematics. First, we add the number of seniors serving in their freshman, sophomore, and junior years: 3 (never served) + 10 (junior) + 9 (sophomore) + 11 (freshman) giving us 33.

Then, we subtract the number of seniors who served during both sophomore and junior years, freshman and junior years, and freshman and sophomore years: 33 - 5 (sophomore and junior) - 6 (freshman and junior) - 4 (freshman and sophomore). This results in 18.

However, from the initial condition we know that there are 20 seniors in total. Therefore, the two 'extra' seniors must have served all four years in high school. Thus we find that 2 seniors served on the student council during each of the four years in high school.

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What is 3/4ths hours equal to?

Answers

45 minutes. Hope this helps!

3 1/3 - 2 2/5 what is the answer?

Answers

One way to solve this is by changing the mixed numbers to improper functions.
3 1/3 = 10/3
2 2/5 = 12/5

The next step I would take is to find a common denominator.
10/3 = 50/15
12/5 = 36/15

Now we can solve the original equation:
50/15 - 36/15 = 14/15

Since 14/15 is already simplified this is your final answer.

Consider polynomial function f(x)=(x-1)^2(x+3)^3 (+1) Use the equation to complete each statement about this function.

Answers

The blanks will have values 2, 3, and 1 respectively.

What is zero of a function?

Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.

If p is the zero of the function f(x)=0 then f(p)=0.

We have,

f(x) = (x-1)² (x+3)³ (x+1)

Now,

The zero is located at x=1 and has a multiplicity of 2.

Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.

The zero is located at x = - 3 and has a multiplicity of 3. The graph of the function will touch, but not cross, the x-axis at the x - the value of 1.

The complete question is given below:-

Consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)

use the equation to complete each statement about this function

The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.

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Answer:

I got you my man

Step-by-step explanation:

Blank 1: 2

Blank 2: 3

Blank 3: 1 only

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