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Ludmilka [50]
2 years ago
8

What is the value of x?

Mathematics
1 answer:
Orlov [11]2 years ago
5 0

Answer:

x = 24.5

Step-by-step explanation:

There are two similar triangles. In similar triangles the sides are in proportion.

Let's name big triangle as triangle 1 and small triangle as triangle 2.

The sides of the big triangle:

27 as base and the longest side (x + 7)

The sides of the small triangle:

base = 27 - 6 = 21

longest side = x

We need to find the value of x using proportion.

27/21 = (x + 7)/ x

By cross multiplying, we get

27(x) = 21(x + 7)

27x = 21x + 147

27x - 21x = 147

6x = 147

Dividing both sides by 6, we get

x = 147/6

x = 24.5

The value of x = 24.5

Hope you will understand the concept.

Thank you.

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1000 * 2.5 =

2500 g (your answer)


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3 years ago
pedro earned gross income of 35200 last year. if he took the standard deduction of 5450 and one exemption of 3500, what was his
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Answer:

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Step-by-step explanation:

Pedro had earned a gross income of 35200 last year.

So, the gross income of Pedro for the current year will also be 35200.

But, this year he has taken the standard deduction of 5450.

Hence, his current year's income will be reduced to (35200-5450)= 29750.

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Therefore, the net taxable income of Pedro for the current year will become (29750+3500) =33250. (Answer)

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Answer:

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Step-by-step explanation:

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5 0
2 years ago
Cole has 12.4 meters of string how many feet of string is this
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8 0
3 years ago
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 =  -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y =  (x+5)^2  +24 \\\\ y = \frac{1}{12} (x+5)^2  +2

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.

7 0
2 years ago
Read 2 more answers
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