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3 years ago

What is the value of x?

Mathematics

2 answers:

kicyunya [14]3 years ago

5 0

Answer:

x = 5√3

Step-by-step explanation:

From SOHCAHTOA you might recall that sin x = opposite/hypotenuse

So sin 60° = x/10

sin 60° = 0.5 √3

so x = 10*0.5√3 = 5√3

Dvinal [7]3 years ago

5 0

Answer:

$sin\alpha=opposite/hypotenuse\\\\sin60=\frac{x}{10}\\ \\\frac{\sqrt{3}}{2}=\frac{x}{10}\\ \\2x=10\sqrt{3}\\ \\x=\frac{10\sqrt{3}}{2}\\ \\x=5\sqrt{3}$

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Segments

Ipatiy [6.2K]

There are several ways two triangles can be congruent.

$\mathbf{AC = BD}$ <em> congruent by SAS</em>
$\mathbf{\angle ABC \cong \angle BAD}$ <em> congruent by corresponding theorem</em>

In $\mathbf{\triangle AOL}$ and $\mathbf{\triangle BOK}$ (see attachment), we have the following observations

$1.\ \mathbf{AO = DO}$ --- Because O is the midpoint of line segment AD

$2.\ \mathbf{BO = CO}$ --- Because O is the midpoint of line segment BC

$3.\ \mathbf{\angle AOB =\angle COD}$ ---- Because vertical angles are congruent

$4.\ \mathbf{\angle AOC =\angle BOD}$ ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

$\mathbf{AC = BD}$

Using corresponding theorem,

$\mathbf{\angle ABC \cong \angle BAD}$ ---- i.e. both triangles are congruent

The above congruence equation is true because:

<em>2 sides of both triangles are congruent</em>
<em>1 angle each of both triangles is equal</em>
<em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

3 0

3 years ago

SOLVE ATTACHMENT 30 POINTS!!!!!!

Masteriza [31]

Answer:

Step-by-step explanation:

$- 3 {f}^{3} + \frac{1}{6} MB = D$

Multiply through by 6 to eliminate the fraction

That's

$- 18 {f}^{3} + MB = 6D$

Move - 18f³ to the right side of the equation

That's

$MB = 6D + 18 {f}^{3}$

Divide both sides by M to make B stand alone

That's

$\frac{MB}{M} = \frac{6D + 18 {f}^{3} }{M}$

We have the final answer as

$B = \frac{6D + 18 {f}^{3} }{M}$

Hope this helps you

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3 years ago

Read 2 more answers

Solve the “and” compound inequality for –1 < 6x + 1 ≤ 13

ser-zykov [4K]

Answer:

-1/3 < x <(or equal to) 2

Step-by-step explanation:

Firstly divide your inequality into two separate inequalities...

1) -1 < 6x + 1...then solve for the first one..,which then gives you....;

-2 < 6x....which gives us our first solution (x > -1/3)

Then the second inequality

2) 6x + 1 <(or equal to) 13

which then gives you....,

6x <(or equal to) 12...which then gives our second solution...( x <(or equal to) 2)

Then combine the two solutions into a compound solution

-1/3 < x <(or equal to) 2

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Korolek [52]

Answer:

Step-by-step explanation:

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