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zvonat [6]
3 years ago
15

LCM of 90 , 45, 180

Mathematics
1 answer:
vodomira [7]3 years ago
5 0

180 is the LCM of the three numbers

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how many ways can 8 distinguishable books be placed in 5 distinguishable shelves so that each shelf contains one book
musickatia [10]

There are 6720 ways by 8 distinguishable books be placed in 5 shelves.

According to statement

The number of books (n) is 8

The number of shelves (r) is 5

Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves

From Permutation formula

P(n,r) = n! / (n-r)!

Substitute the values then

P(n,r) = 8! / (8-5)!

P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)

P(n,r) = 8*7*6*5*4

P(n,r) = 6720

So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.

Learn more about PERMUTATION here brainly.com/question/11732255

#SPJ4

5 0
2 years ago
EASY BRAINLIEST PLEASE HELP!!
butalik [34]

Answer:

see below

Step-by-step explanation:

<h3>Proposition:</h3>

Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE

<h3>Proof:</h3>

1)The lines AD and BC are parallel and AC their transversal therefore,

\displaystyle  \angle DAC =  \angle ACB \\  \ \qquad [\text{ alternate angles theorem}]

2)The lines AB and DC are parallel and BD their transversal therefore,

\displaystyle  \angle BD C=  \angle ABD \\  \ \qquad [\text{ alternate angles theorem}]

3)now in triangle ∆AEB and ∆CED

  • \displaystyle \angle EAD=\angle ECB
  • \angle EDA=\angle EBC
  • \displaystyle AD=BC

therefore,

\displaystyle  \Delta AEB  \cong  \Delta CED

hence,

  • AE=CE
  • DE=BE

Proven

6 0
2 years ago
The line below are parallel. If the green line has a slope of -1/2, what is the slope of the red line?
Phoenix [80]

Answer:

The slope of the red line is -1/2

Step-by-step explanation:

Parallel lines always have the same slope

7 0
3 years ago
Read 2 more answers
I need help with this question y×e=?
Len [333]
Y*e = ey. You would always want the variables to be in alphabetical order.
4 0
3 years ago
Read 2 more answers
Denise is constructing a square. she has already used her straightedge and compass to construct the circle, lines, and arcs show
Tpy6a [65]
What should denise do for her next step?

Answer: Out of all the options presented above the one that best represents the next step that denise should take after already using her straightedge and compass to construct the circle, lines, and arcs is to use the straightedge to draw line ac, line ad, line bc, and line bd. use the compass and straightedge to construct the bisector of ∠cpb∠cpb. Please see the attachment as reference to how it should look like once it is completed.

I hope it helps, Regards.

4 0
2 years ago
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