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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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The vertices of a quadrilateral in the coordinate plane are known how can the perimeter of the figure be found
natta225 [31]

Answer:

d

Step-by-step explanation:

6 0
3 years ago
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for
zubka84 [21]

Answer:

6 Miles and the cost is $4.50

Step-by-step explanation:

3+0.25=0.75x

3+0.50x

6=x

0.75x+?

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7 0
3 years ago
PLEASE SHOW WORK !!!
Fed [463]
For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
3 0
3 years ago
4(w+1)=−6 <br><br> w = ?<br> HURRY FAST!
vodomira [7]

Answer:

4w+4=-6

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7 0
3 years ago
Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.
Vesna [10]

Answer:

x \approx 2.18

Step-by-step explanation:

3(x+4.5x)=36

we can use the distributive property and get

3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\

and we can add like terms

(3+13.5)x=36\\\\16.5x=36

and know we divide both sides by 16.5

16.5x*(\frac{1}{16.5})=36*(\frac{1}{16.5})\\\\x=\frac{36}{16.5}

and doing the dvision we get that

x\approx 2.18

3 0
3 years ago
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