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3 years ago

What is the value of x?

Mathematics

1 answer:

monitta3 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

Using similar triangles theorem

In similar triangles, ratio of their corresponding sides are equal.

Let the point where a line cuts BC = D

Length (AB/BD) = length(AC/CD)

15/3x = 9/(2x-1)

Cross multiply

15(2x-1) = 9(3x)

Expand the brackets

30x -15 = 27x

Collecting like terms

30x-27x = 15

3x = 15

Divide through by 3

x= 15/3

x= 5

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3 years ago

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3 years ago

Which equation represents a proportional relationship that has a constant of proportionality equal to 2 with the answers are y=x

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We know that
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3 years ago

Read 2 more answers

The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27

Naddik [55]

ANSWER
$3\pi sq.\: in.$

EXPLANATION

Let R be the radius of the bigger circle and r, be the radius of the smaller circle.

Then their ratio is given as,

$R:r=3:1$

We can rewrite it as fractions to get,

$\frac{R}{r} = \frac{3}{1}$

We make R the subject to get,

$R = 3r$

The area of the bigger circle can be found using the formula,

$Area=\pi {r}^{2}$

This implies that,

$Area=\pi ({3r})^{2}$

$Area=9\pi {r}^{2}$

But it was given in the question that, the area of the bigger circle is 27π.

$27\pi=9\pi {r}^{2}$

We divide through by 9π to get,

$3 = {r}^{2}$

This means that,
$r = \sqrt{3}$

The area of the smaller circle is therefore

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3 years ago

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Vertex of y=5x^2-10x+1

kirill [66]

Convert to vertex form:-

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vertex is (1, -4)

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3 years ago