Answer: The answer is true.
Step-by-step explanation: The given statement is :
" The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas".
We are to check its is true or false.
In the attached figure, a regular heptagon ABCDEFG is drawn. Sine the heptagon is regular, so all its sides are equal and all its angles are also equal. So, we can break the heptagon into seven congruent triangles 1, 2, 3, 4, 5, 6 and 7 taking 'O' as the centre of the heptagon.
Finding the areas of these seven triangles and taking the sum will result in the area of the heptagon ABCDEFG.
Thus, the given statement is "TRUE".
Answer:
y=-4x+5
Step-by-step explanation:
Answer:
y =6x+17
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-7- -1)/(-4 - -3)
= (-7+1)/(-4+3)
-6/-1
6
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute a point into the equation
-1 = 6(-3) +b
-1 = -18+b
Add 18 to each side
17 =b
The equation is
y =6x+17
Answer:
Step-by-step explanation:
Total interior angles in a triangle=180 degrees
That is: 3x + 10 + 5x - 1 + x =180
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
Therefore
Angle A =67 degrees
Angle B= 94 degrees
Angle C = 19 degrees
Answer:
5m+30+2n
Step-by-step explanation:
3m+30 and - 2m+2n
5m+30+2n