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3 years ago

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain

Mathematics

2 answers:

Anna007 [38]3 years ago

6 0

The properties of a parallelogram:

1. opposite sides are parallel

2. opposite sides are equal in length

3. opposite angles are equal

4. diagonals bisect each other

if XN=NZ and NY=NW, then

XY=WZ and XW=YZ because the corresponding angles are equal = corresponding sides are equal

The opposite sides are parallel as well because the diagonals are equal (the vertical opposite angles are equal)

This was a word pasta but hope this helps

marta [7]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

This is a paralleogram. The diagonals bisect each other

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aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Jenna+has+five+less+stamps+than+horacio.+gary+has+half+the+number+that+horacio+had.+all+together+they+have+a+total+of+75+stamps

nexus9112 [7]

Haracio has 32 stamps. Jenna has 27 stamps. Gary has 16. You can solve this using matrices.

4 0

3 years ago

A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil

madam [21]

Answer:

a) $P(X=0)= (20C0) (0.135)^0 (1-0.135)^{20-0} = 0.0550$

b) $P(X \geq 1)$

And we can use the complement rule and we have this:

$P(X \geq 1) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

For this case we define the random variable X="number of children unvaccinated" and the distribution for X is given by:

$X \sim Bin (n =20, p=0.135)$

Part a

For this case we want this probability:

$P(X=0)$

Using the probability mass function we can replace and we got:

$P(X=0)= (20C0) (0.135)^0 (1-0.135)^{20-0} = 0.0550$

Part b

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we have this:

$P(X \geq 1) = 1-P(X$

8 0

3 years ago

There was a total of $548 collected for tickets to the school musical. The adult tickets cost $6 and the student tickets cost $4

Ivanshal [37]

Answer:

1) 6A + 4S = 548

2) A +12 = S multiplying by 4

2) 4A -4S = -48 then we add equation 1)

1) 6A + 4S = 548

10A = 500

50 Adult Tickets were sold and

62 Student Tickets were sold.

Double Check

50 * $6 = $300

62 * $4 = $248

Total = $548 Answer is correct!!!

Step-by-step explanation:

8 0

4 years ago

Tara read 4 5/8 pages of the arts section in the newspaper. She read 3 7/8 pages of the sports section. How many more pages of t

Simora [160]

Hello! So a mixed number is being subtracted by an improper fraction. To find the difference between the two numbers, we will subtract. It would be set up as 4 5/8 - 3 7/8. First off, because 5/8 is less than 7/8, we add 8/8 to 5/8 and turn 4 into 3. That makes the problem 3 13/8 - 3 7/8. Now, let's subtract. 3 13/8 - 3 7/8 is 6/8 or 3/4 in simplest form. There. Tara read 3/4 more pages of the arts section than the sports section.

6 0

4 years ago