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Free_Kalibri [48]
3 years ago
8

Nnnnnnnnnnnnnnnnnnnnnnn

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
Because the two triangles are similar, one is a scaled down version of the other.

You can figure out that scale by comparing two matching sides, in this case AD and AB.

AD = 2 and AB = 2+4 = 6

So 2/6 = 1/3, telling us each side of the smaller triangle is 1/3 the size of the original.

Now we need to find ED and know CB = 12. Knowing ED = 1/3 of CB:
ED = 1/3 • 12 = 4
You might be interested in
Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997, However in march 1997 the price of the tea increased by 25% and
Irina18 [472]

Answer: tea = 15 rupees  per kg

sugar= 3 rupees per kg

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

  • t= price of 1 kg of tea
  • s = price of 1 kg of sugar

<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "</em>

2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

2t =39-3s

t = (39 -3s)/2

t = 19.5-1.5s

  • <em>Replacing the value of t in (b) </em>

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

48.75 -3.75s+3.6s= 48.30

48.75-48.30 = 3.75s-3.6s

0.45= 0.15s

0.45/0.15 =s

3 =s

  • <em>Replacing the value of s in (a) </em>

2 t + 3 (3) =39

2 t + 9 =39

2 t =39 -9

2 t =30

t = 30/2

t= 15

Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Read 2 more answers
The ratio of two numbers is 2/3. The sum of the numbers is 105. What are the two numbers?
Pepsi [2]
A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
2.5x = 105
x = 42
y = 63


8 0
3 years ago
What is the coefficient in the expression 10x? -7 ?<br> A 7<br> B. X<br> O c. 10<br> O D. 2
allsm [11]

Answer:

C.) 10

Step-by-step explanation:

8 0
3 years ago
What is 5x minus 5 factored​
AveGali [126]

Answer:

5(x-1)

Step-by-step explanation:

5 0
3 years ago
What is the probability that a phone number generated using the digits 1, 2, 2, 4, 5, 5, 6, and 2 is the number 654-5222
pochemuha

Answer:

336 ways

Step-by-step explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

\frac{8!}{3!\times2!} = \frac{40320}{6\times2}

= 336 ways

7 0
3 years ago
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