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ANTONII [103]
3 years ago
14

EASY BRAINLIEST PLEASE HELP!!

Mathematics
1 answer:
butalik [34]3 years ago
6 0

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

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About 5% of the population has a particular genetic mutation. 300 people are randomly selected.
xz_007 [3.2K]

The standard deviation for the number of people with the genetic mutation is 3.77

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Sample size, n = 300

Proportion that has the particular genetic mutation, p = 5%

The standard deviation for the number of people with the genetic mutation is calculated as:

Standard deviation = √np(1 - p)

Substitute the known values in the above equation

Standard deviation = √300 * 5% * (1 - 5%)

Evaluate the product

Standard deviation = √14.25

Evaluate the exponent

Standard deviation = 3.77

Hence, the standard deviation for the number of people with the genetic mutation is 3.77

Read more about standard deviation at

brainly.com/question/12402189

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7 0
2 years ago
-3j - (-4) over -6 = 12 j= ? ​
babymother [125]

Answer:

j =76/3

Step-by-step explanation:

-3j -  -4

------------------ = 12

-6

Multiply each side by -6 to clear the fraction

-3j +4

------------------ * -6 = 12 *-6

-6

-3j +4 = -72

Subtract 4 from each side

-3j +4-4 = -72 -4

-3j = -76

Divide each side by -3

-3j/-3 = -76/-3

j = 76/3

5 0
3 years ago
Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries
ElenaW [278]

Answer:

(b) The number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, 3\frac{3}{8}  = 3+\frac{3}{8} = 3 + 0.375 = 3.375

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, 2\frac{7}{8}  = 2+\frac{7}{8} = 2 + 0.875 = 2.875

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second)  basket

                                      = 3.375 pounds +  2.875 pounds  

                                    = 6.25 pounds

So, the number of pounds each person would have = \frac{\textrm{Total weight of viable berries}}{\textrm{4}}  = \frac{6.25}{4} = 1.5625

Now, 1.5625 = 1 + 0.5625  = 1 + \frac{5625}{10000}  = 1 + \frac{5}{8}  = 1\frac{5}{8}

So, the number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

7 0
3 years ago
Which expression is equivalent to
LiRa [457]

Answer: B 1/m

Step-by-step explanation:

7 0
2 years ago
PLEASE ANSWER ITS DUE IN 5 MINUTES!! What is the are of the figure?
MariettaO [177]

Answer

Cut out the shapes, and then multiply them.

Step-by-step explanation:

3 0
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