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melamori03 [73]
2 years ago
14

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

lelogram ABCD is proven to be a rectangle?

Mathematics
1 answer:
myrzilka [38]2 years ago
5 0

Answer:

Option 3.

Step-by-step explanation:

A parallelogram is said to be a rectangle if

1. Opposite pair of lines are equal and parallel

2. Adjacent lines meet each other at 90 degrees.

Hence we have third option which satisfies both the conditions.

You might be interested in
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Pani-rosa [81]

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

6 0
2 years ago
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above
ss7ja [257]
As IQ scores for extensive populaces are focused at 100, the mean = 100. 
There ought to be around half scores above or underneath the mean score since mean and middle is about a similar when the populace is substantial. 
P(x > 100) = P( z> (100 - 100)/sd ) = P(z > 0)= 0.5 
The number of the student who has scored over 100 = 0.5 x 78 = 39 Therefore the answer is 39 students. 
4 0
1 year ago
Sofia measures the length of her car as 16 feet. What is the greatest possible error? ______ feet What is the margin of error? _
Genrish500 [490]

Answer:

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?  

<h2> ⇒ 0.5 feet </h2>

What is the margin of error?  

<h2> ⇒ 15.5  TO  ⇒ 16.5 feet</h2>

Step-by-step explanation:


3 0
2 years ago
Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression belo
cluponka [151]

Answer:

He moved 6 floors up, then moved 8 floors down. So he is now 2 floors below ground level.

I hope this helps.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long
LUCKY_DIMON [66]

Answer:

7 hours 30min

Step-by-step explanation:

Step one :

Given data

We are told that Erica can paint 1 room in 5hours

Her work rate is 1/5 room per hour

And also with the assistance of her friend they can paint 1 room in 3 hours

Hence their combined work rate is 1/3 room per hour

Step two

The combined work expression is

1/A+1/B=1/T

Where A=Erica's work rate

B=Rachael's work rate

T=combined work

1/5+1/B=1/3

1/B=1/3-1/5

1/B=5-3/15

1/B=2/15

B=15/2

B=7.5 hours

It will take Rachel 7 hours 30min to paint the room

4 0
2 years ago
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