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Crazy boy [7]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

Since ΔACB ≅ ΔDCE then ∠A ≅ ∠D, that is

3x - 10 = 2x + 10 ( subtract 2x from both sides )

x - 10 = 10 ( add 10 to both sides )

x = 20

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The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

7 0
3 years ago
Draw the graph for the equation by first finding at least two points on the line.<br> 2x-y=9
ELEN [110]

Answer:

enjooooooooyyyyyyyyyyyyyyyy

4 0
1 year ago
Alex bought string for $125. Other materials for $18. What is the total cost to make 50 puppets?
Lesechka [4]
(125+18) 50 = $7,150
6 0
3 years ago
Rename 28 percent as a decimal and fraction in its simplest form.
VARVARA [1.3K]
28% is 28/100 as a fraction but the simplest form is 14/50 and it can be simplified to 7/25. the decimal is 0.28

fraction is 7/25
decimal is 0.28

7 0
3 years ago
Read 2 more answers
60 POINTS HELPP!!
artcher [175]

Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

6 0
3 years ago
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