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OlgaM077 [116]
3 years ago
11

There are 20 peoples in a singing group. The mean age of 12 of the members is 18years. The mean age of the remaining 8 is 23 yea

rs. What is the mean age of the 20 members of the singing group?​
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

  20

Step-by-step explanation:

The sum of the ages of the first 12 is ...

  12×18 = 216

The sum of the ages of the remaining 8 is ...

  8×23 = 184

So, the sum of ages of all 20 people is ...

  216 +184 = 400

and their average age is ...

  400/20 = 20

The mean age of the members of the group is 20.

_____

The mean of a data set is the total of the values, divided by the number of values.

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1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
Help please and thanks! :)​
Amanda [17]
For number 1. Is 21 = 21
Number 2. 12/25
Number 3. 9
Number 4. 64 =64
Number 5. 15 = 5
Number 6. 4= 4
5 0
3 years ago
you and your two friends are sharing a large candy bar.if you want to share the candy bar equally among you an your friends how
Levart [38]

each person will get 1/3 of the candy bar

because there are 3 people

the candy bar will be split equally

so everyone gets 1/3

5 0
3 years ago
Name the types of angles shown.
OlgaM077 [116]

Answer:

C) supplementary angles

D) straight angle

Step-by-step explanation:

There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.

There are no angles that are 90 degrees so its not complementary or a right angle.

7 0
3 years ago
Read 2 more answers
Help help<br><br> Order these fractions from least to greatest.
Dmitrij [34]

Answer:

\frac{5}{9}, \frac{7}{9}, \frac{8}{9}

Step-by-step explanation:

The answer is: \frac{5}{9}, \frac{7}{9}, \frac{8}{9}

And this question isn't to difficult, and the trick is realizing they all have the same denominator.

The denominator is essentially saying how many pieces of the whole (1) is being broken into.

So the denominator 9, means that you're breaking up the number 1 into 9 pieces.

The numerator is telling us how many pieces of this "broken up 1" the number has.

So 8/9 has more of these "broken up pieces" than 7/9, and it's so vitally important that these numbers have the same denominator.

For example: 1/2 and 30/90

30/90 may appear to be bigger, since the numerator of 30, but it's actually smaller.

The reason for this is because we can simplify it to: 1/3 by dividing both sides by 30 so the value remains the same.

Now we can actually compare 1/2 and 1/3 without changing the denominators.

1/3 is "one piece" of a broken up one, that was "broken" into 3 pieces.

1/2 is "one piece" of a broken up one, that was "broken" into 2 pieces.

So if I split one whole, into three pieces, each individual piece is going to be smaller than had I split that one whole into 2 pieces.

So 1/2 is actually bigger than 1/3

8 0
1 year ago
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