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zvonat [6]
3 years ago
10

Find the value of x.

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

In \triangle BAC, \: DE || AC

Hence, by basic proportionality theorem:

\frac{x + 2}{x}  =  \frac{3}{2}  \\  \\  \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\  \huge \red { \boxed{\therefore \:x = 4}}

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Help me pls due 9-24-18
ANTONII [103]
26. Tuesday -5 is colder than all the others
27. Friday 0degrees is the warmest day there
28. 20 degreases on Saturday adding the positive 25 to negative five makes it 20 degrees
8 0
3 years ago
I need to know the answer and how to get it
Stells [14]
The answer is 6.25 square kilometres

one side is 1.25 and the other will be 1.25*4 =5
and for the area we multiply the two 1.25*5=6.25
7 0
3 years ago
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Write the equation of a possible rational
kondor19780726 [428]

Answer:

The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)

Step-by-step explanation:

A rational equation is a equation where

\frac{p(x)}{q(x)}

where both are polynomials and q(x) can't equal zero.

1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

(x - 2)

in our denomiator.

So right now we have

\frac{p(x)}{(x - 2)}

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.

We can model -2.5 as

(2x + 5)

So we have as of right now.

\frac{(2x + 5)}{(x - 2)(2x + 5)}

Now let see if this passes throught point (6,-3).

\frac{(2x + 5)}{(x - 2)(2x + 5)}  = y

\frac{(17)}{68}  =  \frac{1}{4}

So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.

If we have a variable r, in the numerator that will make this applicable, we would get

\frac{(2x + 5)r}{(2x + 5)(x - 2)}  =  - 3

Plug in 6 for the x values.

\frac{17r}{4(17)}  =  - 3

\frac{r}{4}  =  - 3

r =  - 12

So our rational equation will be

\frac{ - 12(2x + 5)}{(2x + 5)(x - 2)}

or

\frac{ - 24x - 60}{2 {x}^{2}  + x - 10}

We can prove this by graphing

5 0
2 years ago
Y is inversely proportional to x . When y = 25 , x = 4 Work out y when x = 20
ehidna [41]

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

7 0
3 years ago
A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located
ycow [4]
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5 0
3 years ago
Read 2 more answers
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