Option C:
The value of x is 27.
Solution:
Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.
<em>Sum of exterior angles of a polygon = 360°</em>
⇒ 56° + 2x° + 85° + 57° + 4x° = 360°
⇒ 198° + 6x° = 360°
Subtract 198° from both sides of the equation.
⇒ 6x° = 162°
Divide by 6 on both sides, we get
⇒ x° = 27°
⇒ x = 27
The value of x is 27.
Option C is the correct answer.
18 / x = 20 / 100
20x = 1800
x = 90
The museum had 90 paintings in April.
Hope this helps!! :)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:
Solving the algebraic expression
solving the equation for 'n'
Add 7 to both sides
Simplify
Divide both sides by 2
Simplify
Answer:
x = 5
Step-by-step explanation:
To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:
3(x+1)=7(x-2)-3 becomes...
3x + 3 = 7x - 14 - 3
3x + 3 = 7x -17
Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides
3x + 3 - 3x + 17 = 7x -17 + 17 - 3x
20 = 4x
If we isolate x alone we have:
20/4 = x or x = 5
Answer:
to know the summation of angles: (n-2)*180
here (n) represent numbers of sides
12)we have 5 sides (n=5)
(5-2)*180=540
x=540-(105+135+92+87)=121
13)we have 8 sides (n=8)
(8-2)*180=1080
x=1080-(116+158+141+124+136+132+129)=144
I hope it will help
