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3 years ago

If EG = 2u + 9 and EI = 5u - 48, find EI in parallelogram FGHI.

Mathematics

1 answer:

zalisa [80]3 years ago

4 0

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect in their middle point, so :

2u + 9 = 5u - 48

3u = 57

u = 19

EI = 5* 19 - 48 = 47

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In a lab experiment, 2000 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to do

Dafna1 [17]

Answer:

4,261

Step-by-step explanation:

after 23 hours, the number of bacteria =

4,000.

so, after 26 hours = 4,000+ (3/23 ×4000)

= 4,000 + 261 = 4,261

5 0

3 years ago

Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} A={1, 3, 4, 5, 7,

blagie [28]

Answer:

a) $A' = [0,2,6,8]$

b) $(AUB)' = [0,2,6]$

c) $(AUB')' = [9]$

d) A∩B′ $= [3,5,9]$

Step-by-step explanation:

Assuming this problem: "Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} , and B={1, 4, 7, 8} . List the elemetns of the following sets in the increasing order: a) A′= b) (A∪B)′={ , , }} c) (A∪B′)′={ }} d) A∩B′={ , , }}"

Part a

For this case we just need to find the elements in the universal set that are not in A. And we see that:

$A' = [0,2,6,8]$

And that represent the complement for A

Part b

For this case we need to find first the Union AUB who are the elements on A or B without repetition and we got:

$AUB = [1,3,4,5,7,8,9]$

And now the complement for (AUB)' are the elements that are not in AUB but are on the universal set and we got:

$(AUB)' = [0,2,6]$

Part c

For this case we need to find B' who are the elements on the universal set that are not in B

$B' = [0,2,3,5,6,9]$

Then we can find the union between AUB' and we got:

$AUB' = [0,1,2,3,4,5,6,7,9]$

And then the complment is just:

$(AUB')' = [9]$

Part d

For this case we just need to see the elements in common between A and B' and we got:

A∩B′ $= [3,5,9]$

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4 years ago

Find the discount on a $15 T-shirt. It is on sale for 10% off.

Lelu [443]

Answer:

$13.50 (discount price)

$1.50 (discount amount)

Step-by-step explanation:

$15 x 10% =

$15 x 0.1 = $1.50

$15 - $1.50 = $13.50

3 0

3 years ago

Read 2 more answers

1) 9x-3y+7-4x+y-3 simplified

Serjik [45]

Answer:

1. 6+3+3

2. 15-5+4

3.4+2

5 0

3 years ago

Read 2 more answers

Each student in your class tosses a coin. The result of

dybincka [34]

Answer:

p(heads) $\frac{1}{2}$

Step-by-step explanation:

there are only two outcomes: heads or tails so the outcome ca only be one of two outcomes that is the reason for the 2 on the bottom of the fraction. and heads is one of the outcome hence the 1 on the top of the fraction.

7 0

3 years ago