Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
<span>x-intercept: 1/4
y-intercept:8</span>
Answer:
X= 43/3
Step-by-step explanation:
-1/4 x 5 = 3/4x - 12
-5/4=3/4x -12
-5=3x - 48
-3x-5 = -48
-3x = -48 + 5
-3x= -43
-3 x= -43
X= 43/3
Answer:
2/3
Explanation:
Given the below;
We can see from the above that 9 is divisible by 3 and that 14 is divisible by 7, let's go ahead and reduce to the lowest term as shown below;
The sum of the interior angles of a triangle is 180. Add the three measures given and if you get 180 then those can be the interior angles of a triangle.
