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The triangle below is equilateral. Find the length of side x in simplist radical form with a rational denominator.

Stolb23 [73]

The most appropriate choice for equilateral triangle will be given by

Value of x = $\frac{9\sqrt{3}}{2}$

What is equilateral triangle?

A closed two dimensional figure with three sides and three angles is called triangle.

Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene

The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle are 60°

Here,

Since the triangle is equilateral, angle of triangle is 60°

sin 60° = $\frac{x}{9}$

$\frac{\sqrt{3}}{2}$ = $\frac{x}{9}$

$x = \frac{9\sqrt{3}}{2}$

To learn more about equilateral triangle, refer to the link:

brainly.com/question/2351368

#SPJ9

5 0

9 months ago

Which formula can be used to describe the sequence?

alexdok [17]

Answer:

f(x+1) = -3/4 × f(x)

Step-by-step explanation:

first of all, the sign of the numbers in the sequence is alternating. so, there must be a "-" involved.

that eliminates the first and third answer options.

and the absolute values of the numbers in the sequence are going down. |f(x+1)| < |f(x)|

that eliminates the fourth answer option, as this says that

|f(x)| < |f(x+1)|. and that is the opposite of how the actual sequence behaves.

7 0

3 years ago

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

$f(x) = -x^2 - 4x + 5$

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

$f(x) = -x^2 - 4x + 5$

So the vertex is at:

$x = 4/(2*-1) = -2\\$