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3 years ago

Find the value of x.6 3 2 x

Mathematics

1 answer:

love history [14]3 years ago

3 0

Answer:

$x=4$

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

$\frac{BA}{BC}=\frac{AD}{DC}$

Substitute,

$\frac{x}{6}=\frac{2}{3}$

Cross products,

$3(x)=2(6)$

Simplify,

$3x=12$

Inverse operations,

$3x=12\\\\x = 4$

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Step-by-step explanation:

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5 0

3 years ago

(2n^3+20n^2+n)/10n^2

gizmo_the_mogwai [7]

The simplified form of this polynomial is (n(20n + 1))/5

3 0

3 years ago

3x -2 > -11<br><br> (The > has an underscore under it)

user100 [1]

$3x-2\geq-11$

$3x\geq-9$

$x\geq-3$

$x\in[-3, \infty)$

Hope this helps.

7 0

3 years ago

What is the first step in solving the quadratic equation x2 = StartFraction 9 Over 16 EndFraction? Take the square root of both

balu736 [363]

Answer:

The first step is

Take the square root of both sides of the equation

Step-by-step explanation:

we have

$x^{2} =\frac{9}{16}$

Solve for x

step 1

Take square root both sides

$x=(+/-)\frac{3}{4}$

the solutions are

$x=+\frac{3}{4}$ and $x=-\frac{3}{4}$

therefore

The first step is

Take the square root of both sides of the equation

5 0

3 years ago

Read 3 more answers

The radius of a circle is 12 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

hram777 [196]

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ A=10\\ r=12 \end{cases}\implies 10=\cfrac{\theta \pi 12^2}{360}\implies 10=\cfrac{2\pi \theta }{5} \\\\\\ 20=2\pi \theta \implies \cfrac{20}{2\pi }=\theta \implies \cfrac{10}{\pi }=\theta \implies 3.18\approx \theta$

6 0

3 years ago

Find the value of x.6 3 2 x​

Find the value of x.6 3 2 x