Answer: x = 15
Step-by-step explanation:
The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.
sum of angles = (n - 2) × 180
sum of angles = (7 - 2) × 180
sum of angles = 5 × 180
sum of angles = 900°
Now to find the value of x, we have to set each of the interior angles, added up, equal to 900°:
7x + 1 + 10x + 6x + 7 + 10x - 9 + 9x + 4 + 8x + 10 + 9x + 2 = 900
Combine like terms:
(7x + 10x + 6x + 10x + 9x + 8x + 9x) + (1 + 7 - 9 + 4 + 10 + 2) = 900
59x + 15 = 900
59x + 15 - 15 = 900 - 15 subtract 15 from both sides
59x = 885
59x/59 = 885/59 divide by 59 on both sides
x = 15
A will be your answer -1/3x
Answer:
x = s, y = t, z = 8 -s -t
Step-by-step explanation:
It can work reasonably well to let s and t represent any of a pair of the variables. In the answer above, we have used x=s, y=t.
You could get more elaborate if you want:
x = 4-s, y = 4-t, z = s+t
there are 6 triangles in the hexagon, so the hexagon area is 6*16*➗3 *=96 *➗3
They each get 2/3 because 2÷3=2/3 and 2/3×3 equals to 2/3+2/3+2/3. And 2+2+2=6 then you divide 6/3=6÷3 which gives the answer of 2 which then you have to add the 3 so, 2/3.