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Pachacha [2.7K]
3 years ago
7

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:

  1. <em>2 sides of both triangles are congruent</em>
  2. <em>1 angle each of both triangles is equal</em>
  3. <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:

<h2>B = \frac{6D + 18 {f}^{3} }{M}</h2>

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

8 0
3 years ago
Read 2 more answers
Solve the “and” compound inequality for –1 &lt; 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

8 0
3 years ago
CAN somebody plz plz help me with raios
Kaylis [27]
I can help what are the problems
5 0
3 years ago
Which expression is equivalent to 8(u + 3)?
Korolek [52]

Answer:

<h2>8(u + 3) = 8u + 24</h2>

Step-by-step explanation:

8(u+3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(8)(u)+(8)(3)=8u+24

5 0
3 years ago
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