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3 years ago

Which are vertical angles?

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

Answer:

"Vertical Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down."

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

2 years ago

If y = 9 inches, z = 14 inches, h = 5 inches, and w = 4 inches, what is the area of the object?

vekshin1

Answer:

126

Step-by-step explanation:

7 0

1 year ago

What is the distance between 4.4 and -2.2 on a number line?

SSSSS [86.1K]

Answer:

2.2

Step-by-step explanation:

4.4 + -2.2 = 2.2

....................................................................

4 0

3 years ago

Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri

Reika [66]

Answer: 2000

Step-by-step explanation:

Set up equation

The total signatures she needs is 4 times as many as she has. From this we can create the equation (4n = total signatures)

We know that the total number of signatures is 8000, so plug this into the equation to get 4n = 8000

Solve for n

Now that we have an equation, we can solve for n by dividing both sides by 4

4n = 8000

n = 8000 / 4 = 2000

Final Answer

Fiona has collected 2000 signatures so far

3 0

3 years ago

9. Sonia bought 5 shirts that cost $38.00 each. If the tax rate is 8.5%, how much did Sonia pay?

qaws [65]

The answer is A

8.5% sales tax + 38.00= $41.23 x 5 (shirts)= $206.15

8 0

3 years ago