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elixir [45]
3 years ago
9

Find the value of x that will make L||M. 6x + 8 4x + 2 X =[?]

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

Answer:

x=17

Step-by-step explanation:

The two angles labelled 6x+8 and 4x+2 are co-interior angles. When two parallel lines are cut by a traversal, co-interior angles are supplementary, meaning they add up to 180 degrees. Therefore, if line L is parallel to line M, 6x+8 and 4x+2 must be supplementary:

6x+8+4x+2=180

Combine like terms:

10x+10=180

Subtract 10 from both sides:

10x=170

Divide both sides by 10:

x=\frac{170}{10}=\boxed{17}

valentinak56 [21]3 years ago
3 0

Answer:

6x+8+4x+2=180

so!! 10x+10=180

10x=170

x=17

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What is the m∠N ? Can someone help me :)
Sauron [17]

Answer:

<h2>61°</h2>

Step-by-step explanation:

Use the sine law:

\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}

We have:

MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924

Substitute:

\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}         <em>cross multiply</em>

6\sin(\angle N)=(18)(0.2924)

6\sin(\angle N)=5.2632          <em>divide both sides by 6</em>

\sin(\angle N)=0.8772\to m\angle N\approx61^o

4 0
3 years ago
List 3 values that would make this inequality true 8+y&gt;11
alina1380 [7]
You could use so many for example 4, 10, 57, 5729, any number above 4 would work since that plus 8 would be greater than 11
4 0
3 years ago
Please help with three through 12
lord [1]
The correct answer for 12 is B
6 0
3 years ago
Read 2 more answers
Calcula el área de la siguiente figura
andreyandreev [35.5K]

Answer:

272.5 m²

Step-by-step explanation:

1/2x4x9=18

(9+18)/2=13.5. 13.5x11=148.5

(18+14)/2=16. 16x7=112

12+148.5+112= 272.5

5 0
3 years ago
Plz, answer the question in the photo.
kotegsom [21]

Answer:

H

Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 32

1

3

= ( 2 × 3 ) over 3

2 × 3

3

+ 1 over 3

1

3

= ( 6 + 1 ) over 3

6 + 1

3

= 7 over 3

7

3

Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

32

9

− 7 over 3

7

3

= ( 32 × 1 ) over ( 9 × 1 )

32 × 1

9 × 1

− ( 7 × 3 ) over ( 3 × 3 )

7 × 3

3 × 3

= 32 over 9

32

9

− 21 over 9

21

9

9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

32

9

− 21 over 9

21

9

= ( 32 − 21 ) over 9

32 − 21

9

= 11 over 9

11

9

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

11

9

= 1 and 2 over 91

2

9

4 0
3 years ago
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