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Ivahew [28]
3 years ago
13

If ABC and EDC are similar, what is the value of x? A

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

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A city doubles its size every 64 year. If the population is currently 225,000, what will the population be in 128 years?
Rudiy27

Answer:

=900000

Step-by-step explanation:

the current ppl=225000

after 64 years=225000×2=450000

in the next 64 yrs(128 yrs later)=450000×2=900000

3 0
3 years ago
a certain job can be done in 20 hours by 4 people. how many people are needed to do the same job in 10 hours?
maxonik [38]
If it takes 4 people to get a job done in 20 hours, then in 10 hours, it will take 2 people to complete the same job.
To find out how many people are needed to do this job in 10 hours, we can see that we got to 10 hours by dividing 20 by two so, to see how many people are needed to complete this same job in ten hours, we would just divide 4 people by 2 which is 2 people.
So, in conclusion, if it takes a certain job to be done in 20 hours by 4 people, then it would take 10 hours for that same job to be completed by 2 people.
Glad I could help!
7 0
3 years ago
8.0 ÷ 10 A) Sixty thousand <br> B) Six thousand <br> C) Six hundred <br> D) sixdy
Mashutka [201]
The answer is 0.8. Non of the options are correct
6 0
3 years ago
Hi Guyss<br> Can you pls help?
pogonyaev
B!

the golden ratio is where the long side can be split into two pieces and both can still be longer than the short side of the rectangle

A. 34x2=68 which is higher than 55 so it couldn’t split into two bigger halves
B. 20x2=40 which is smaller than 45 so it could split into two bigger halves (this one does fit the golden ratio btw)
C. 18x2=36 which is bigger than 34 and couldn’t split into two larger halves
5 0
2 years ago
Eagle-Eye is a financial house which has two branches; one in Accra and the other in Legos. The year 2021 was a boom financial y
34kurt

The system of equations are:

a + l = 250 million equation 1.

a = 40 million + 2l equation 2

Where:

  • a = profit made in Accra
  • l = profit made in Lagos

The ratio of net return is 18 : 7

<h3>What is the profit made in the Lagos market?</h3>

Substitute for a in equation 1 using equation 2

40 + 2l + l = 250

40 + 3l = 250

3l = 250 - 40

3l = 210

l = 210 / 3

l = 70 million

<h3>What is the profit made in the Accra market?</h3>

Subtract 70 million from 250 million:  250 - 70 = $180 million

The ratio of returns : 180 million : 70 million

18 : 7

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

6 0
2 years ago
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