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polet [3.4K]
3 years ago
5

In the diagram below, ABC - DEC. What is the value of x? A 5 B. 3 C. 6 D. 4​

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

Answer:

C

Step-by-step explanation:

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

\frac{BC}{EC} = \frac{AC}{DC}, substituting values

\frac{21}{7} = \frac{24-x}{x} ( cross- multiply )

21x = 7(24 - x) ← distribute

21x = 168 - 7x ( add 7x to both sides )

28x = 168 ( divide both sides by 28 )

x = 6 → C

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kiruha [24]

Answer:

1. 3

Step-by-step explanation:

8 0
3 years ago
At Greens Supermarket, Lulu wrote a check for $189.94 to buy groceries. Afterward, she deposited $122.50 (money that she receive
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Answer:

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4 0
3 years ago
Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len
snow_tiger [21]
9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use. 
8 0
3 years ago
If 3/4=x/2 then 7/4=
wariber [46]
I don’t know

I need to answer a question I'm new sorry
8 0
3 years ago
A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made is 21cm long.Find the area of the enlargemen
marta [7]

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm

6 0
3 years ago
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