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2 years ago

∠1 and ∠2 form a linear pair. The measure of ∠2 is six more than twice the measure of ∠1. Find m∠2

Mathematics

1 answer:

Tamiku [17]2 years ago

6 0

Answer:

122 degrees.

Step-by-step explanation:

The angles that make up a linear pair will always add up to 180 degrees. So we can assume that ∠1 + ∠2 = 180. Now, ∠2 = 2(∠1) + 6, so we can substitute that into the equation to get 3(∠1) + 6 = 180. Now can we subtract 6 from both sides to get 3(∠1) = 174. If we divide both sides by 3, we find out that ∠1 = 58. Now we can go back to the original equation, ∠1 + ∠2 = 180. We can substitute in 58 for ∠1 to get 58 + ∠2 = 180, and then subtract 58 from both sides to get ∠2 = 122. Hope this helps. : )

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Please please use explanation with answer

KIM [24]

Answer:

$\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}$

Step-by-step explanation:

$\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}$

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3 years ago

The diagram shows a regular dodecagon.Work out the size of one interior angle

nikdorinn [45]

Answer:

150°

Step-by-step explanation:

number of terms=12

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2 years ago

The Mapleton Middle School band has 41 students. Six students play a percussion instrument. What percent of students in the band

Sedaia [141]

Answer:

the percentage of the students in the band that play a percussion instrument is 14.6%

Step-by-step explanation:

The computation of the percentage of the students in the band that play a percussion instrument is as followS;

= number of students played percussion instrument ÷ total number of students

= 6 students ÷ 41 students

= 14.6%

Hence, the percentage of the students in the band that play a percussion instrument is 14.6%

The same is relevant

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3 years ago

What is 2/50 as a decimal

Thepotemich [5.8K]

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A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

ella [17]

For the answer to the question above,

the angle of 360 ° → π.d 

the angle of x ° → 8π 

You make the cross-multiply and you can get: 

x * π.d = 8π * 360 

x * d = 8 * 360 

x = 8 * 360/d → where d = 2r 

x = 8 * 360/2r 

x = 4 * 360/r → where r = 4.5 cm 

x = 4 * 360/4.5 

x = 320 °

3 0

3 years ago