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VikaD [51]
3 years ago
12

4x+8=22-6 solve for x

Mathematics
1 answer:
Digiron [165]3 years ago
6 0
=> 4x = 16 - 8
=>4x= 8
=> x= 2

in short the answer is 2
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If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
2 years ago
Exterior Angles and Isosceles Triangles
Ad libitum [116K]

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

3 0
2 years ago
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) [7 − 2x + 5y − (x − y)] − (5x + 3y − 7)​
ale4655 [162]

Answer:

[7-2x+5y-(x-y) -[5x+3y-7]

= 7-2x+5y-x+y-5x-3y+7

=7+7-2x-x-5x+5y+y-3y

=14-8x+3y

=-8x+3y+14

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1. What is the solution of the equation<br> 3y-5y+10=36?<br> 1. -13<br> 2. 2<br> 3. 4.5<br> 4. 13
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Answer:

1: -13

Step-by-step explanation:

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Divide negative 2 from both sides

y=-13

5 0
3 years ago
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I dont understand linear equations.
Sonbull [250]
Ck12 has great sources 
3 0
3 years ago
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