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3 years ago

How do I find the mean of a given set of numbers?

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

Answer:

Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

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If each quadrilateral below is a parallelogram, find the missing measures.

prisoha [69]

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN and KL=MN

Upon substituting our given values we will get,

45=KN and 31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given $m\angle N=119^{o}$ , therefore $m\angle L=119^{o}$ .

We will find measure of angle K by using supplementary angles.

$m\angle N+m\angle M=180^{o}$

$119^{o}+m\angle M=180^{o}$

$m\angle M=(180-119)^{o}$

$m\angle M=61^{o}$

By opposite angles of parallelogram $m\angle K=61^{o}$ .

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10 and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

$CE=2\times 7=14$

$GD=\frac{1}{2}\times 22=11$

(3) Property: Opposite sides of parallelogram are congruent.

$SR=PQ$ and $QR=PS$

Upon substituting our given values we will get,

$SR=24$ and $QR=19$

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

$SQ=2\times 10=20$

$PT=\frac{1}{2}\times 42=21$

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

$m\angle PQR=106^{o}$

$m\angle PQS=m\angle QSR$ Alternate interior angles.

$m\angle PQS=49^{o}$

$m\angle QRS=m\angle QPS$ Opposite angles of parallelogram.

$m\angle PQR+m\angle QPS=180^{o}$

$106^{o}+m\angle QPS=180^{o}$

$m\angle QPS=180^{o}-106^{o}$

$m\angle QPS=74^{o}$

Therefore, measure of angle QRS will 74 degrees.

$m\angle PRS=m\angle QPR$ Alternate interior angles.

$35^{o}=m\angle QPR$

$m\angle RPS=74^{o}-m\angle QPR$

$m\angle RPS=74^{o}-35^{o}$

$m\angle RPS=39^{o}$

Now let us find measure of angle PSQ.

$m\angle PSQ=m\angle PQR-m\angle QSR$

$m\angle PSQ=106^{o}-49^{o}$

$m\angle PSQ=57^{o}$

The image is not clear, so I am unable to answer the last two problems.

5 0

3 years ago

Read 2 more answers

Ll make u as brainlist

insens350 [35]

Answer:

3 raise to -7 ÷3 raise to -10 × 3 raise to -5

3 raise to -7-(-10)×3 raise to -5

3 raise to 3×3 raise to -5

3 raise to 3+-5

3 raise to -2

1/3²

1/9

hope it helps you!

6 0

3 years ago

Write the repeating decimal as a fraction.<br>-0.5 =

Gekata [30.6K]

Answer:

-1/2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A group of people pays$720 for admission tickets to an amusement part. The price of an adult ticket is $15 and a child ticket is

Masteriza [31]

Answer:

Step-by-step explanation:

Set the number of children to n.

The number of adults is, thus, n + 25.

The total price of admission is $720, made up of adult tickets and child tickets.

The children paid $8 per child, or

8 * n

The adults paid $15 per adult, or

15 * (n + 25)

These sum of these is equal to the total cost of $720.

8*n + 15*(n + 25) = 720

8n + 15(n + 25) = 720

Multiplying 15 with both n and 25.

8n + 15n + 25*15 = 720

8n + 15n + 375 = 720

Subtracting 375 from both sides.

8n + 15n + 375 - 375 = 720 - 375

8n + 15n = 345

Adding together 8n and 15n.

23n = 345

Dividing both sides by 23.

n = 345/23 = 15

n = 15

As n is the number of children, there are 15 children in the group.

Answer: 15

5 0

3 years ago

Convert the measurement to the specified five unit round to 2 decimal Place necessary

jekas [21]

Answer:

50.31 yards

Step-by-step explanation:

divide the length value by 914.4

46,000/914.4 = 50.31

Mark brainliest please!

8 0

2 years ago