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Salsk061 [2.6K]
3 years ago
15

Is there any video related to this or can you explain how to do it

Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Angles ECD  and CEF add to 180

40+140 = 180

So that means we have EF parallel to CD (due to the same side interior angle theorem)

--------------

Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.

In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.

--------------

So far we have

AB || CD

CD || EF

Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.

It's like saying "P --> Q and Q --> R, therefore P --> R"

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Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
serious [3.7K]

The greatest number of sandwiches that Olivia can make is 12.

3 slices of cheese will be on each sandwich

<u>Solution:</u>

Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.  

We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?

Let the number of sandwiches be "n"

Then, number of slices of ham per sandwich =\frac{48}{n}

And, number of slices of cheese per sandwich =\frac{36}{n}

As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36

The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.

Out of these common factors, 12 is the greatest

So, H.C.F of 48 and 36 is 12, which means n = 12

Then, number of cheese slices per sandwich =\frac{36}{12}=3

Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.

8 0
3 years ago
Based on a survey of hiring managers who were asked to identify the biggest mistakes that job candidates make during an intervie
nevsk [136]
More are so a 30-40% chance they would mostly talk about how they are to costumers
7 0
3 years ago
Pls help<br> i neeeeeeeeeeeeeeeed it
sp2606 [1]

Area of the figure = 27 square units

Solution:

Number of full squares shaded = 24

Number of half squares shaded = 0

Number of more than half square shaded = 3

Number of less than half square shaded = 4

Area of the figure = Number of full square + Number of more than half square

                               + Half of number of half squares

                             =24+3+\frac{1}{2}(0)

                             = 24 + 3

                             = 27 square units.

Area of the figure = 27 square units

3 0
3 years ago
In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.
babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

(a) 282429536481 bacteria

(b) 7.97*10^{22 bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

y = ab^x

Where

a = Initial\ Value = 1

b=Rate = 3 --- i.e. triples

x = number\ of\ hours

Solving (a): Bacteria in 24 hours

In this case:

x = 24

Substitute x = 24, b = 3 and a = 1

So:

y = ab^x

y = 1 * 3^{24

y = 1 * 282429536481

y = 282429536481 bacteria

Solving (b): Bacteria in 2 days

2\ days =48\ hours

So:

x = 48

Substitute x = 48, b = 3 and a = 1

So:

y = ab^x

y = 1 * 3^{48

y =7.97*10^{22 bacteria

Solving (c): How long for 1000 bacteria

In this case:

y = 1000

Substitute y = 1000, b = 3 and a = 1

So:

y = ab^x

1000 = 1 *3^x

1000 = 3^x

Take Log of both sides

Log1000 = Log3^x

This gives:

Log1000 = xLog3

Make x the subject

x = \frac{Log1000}{Log3}

x \approx 6

<em>Hence: It takes 6 days</em>

8 0
3 years ago
The power 9 squared is equivalent to 81. What is the value of 9 Superscript negative 2?
Alla [95]

Answer:

1/81

Step-by-step explanation:

9^2 = 81

We know that a^ -b = 1/a^b

9^-2

1/9^2

1/81

4 0
3 years ago
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