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Ira Lisetskai [31]
3 years ago
15

Find the value of x. (Picture attached.)

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Here, triangle AEN and ALG are similar.


We know that the ratio of corresponding sides of two similar triangles are equal. So,

\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\

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(6a + 5b + 4c) + (–6c + 15b) + (–8a)
kenny6666 [7]

Answer:

-2a + 20b - 2c

Step-by-step explanation:

(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a

                                                          = 6a - 8a + 5b + 15b + 4c - 6c

                                                          = -2a + 20b - 2c

6 0
3 years ago
Please help me
lisabon 2012 [21]

Answer:

5

Step-by-step explanation:

3+2x = 4x-7

3+7=4x-2x

x=5

3 0
2 years ago
Read 2 more answers
A bag contains 13 cards numbered 1 through 13. A card is randomly chosen from the bag. What is the probability that the card has
love history [14]
Think of it like this, if there are 13 cards numbered 1-13 and you need to find the probability of pulling a multiple of 3.

Then start by laying out all your options.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

Then find all of the multiples of 3

3, 6, 9, 12

There are 4 multiples of 3 out of all of the cards so you have a 4 out of 13 chance to pull a card with a multiple of 3 on it.

Answer = 4/13
7 0
3 years ago
Read 2 more answers
The mean of the masses of a group of four students is 30 kg. One student joins the group. The mean of the masses og the five stu
bekas [8.4K]

Mass of New student who joined the group will be :

\boxed {\boxed{40 \: kg}}

\mathrm{✌TeeNForeveR✌}

8 0
4 years ago
Amelia had $175,000 in a CD at Treasure Trove Bank, which just failed. If the FDIC insurance limit per depositor per bank is $25
uysha [10]

Answer:

The correct option is A. Amelia will get $175,000.

Step-by-step explanation:

It is given that Amelia had $175,000 in a CD at Treasure Trove Bank, which just failed and FDIC insurance limit per depositor per bank is $250,000.

It means the FDIC insurance company will settle the loss till $250,000.

If the deposited amount of depositors is less than $250,000, then they will get their total deposited amount and if the deposited amount of depositors is greater than or equal to $250,000, then they will get only $250,000.

Since the deposited amount of Amelia is $175,000, which is less than $250,000, therefore she will get her total deposited amount.

175,000

Therefore correct option is A. Amelia will get $175,000.

6 0
3 years ago
Read 2 more answers
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