Answer:
<em>The <u>exterior angle inequality theorem</u> states that the measure of any exterior angle of a triangle is greater than </em><em>t</em><em>h</em><em>e</em><em> </em><em>measure</em><em> </em><em>of</em><em> </em><em>either of the opposite interior angles</em><em>.</em>
<u>EXAMPLES :-</u>
1.
suppose there's an isosceles triangle with exterior angle 150°.
so it's interior angle will be 30°
lets say that the interior opposite angles are equal and let them be equal to x.
sum if all angle sin a triangle = 180°
x + x + 30 = 180
2x = 150
x = 75.
thus we see the theorem states above is proved.
2.
let's say we have a triangle with exterior angle 60°
and one of it's interior opposite angle is said to be 40°.
one we can find out ourselves by subtracting the exterior angle from 180.
and sum of all angles = 180
asumming the unknown angle to be x.
120 + 40 + x = 180
x = 180 - 160
x = 20
hence the exterior angle inequality theorem has been proved once again.
7 +9.84 + 13.9 = 30.74 gallons of gas in a week
Answer:
Step-by-step explanation:
The three consecutive integers are
(n+2), (n+3), (n+4).
(n+2)+(n+3)+(n+4) = 3n+9
Answer:
For 3^-6 = 1/3^6 = 726 and for 3^-4 = 1/3^4 = 81
Step-by-step explanation:
ARE THE NUMBERS SEPARATED OR THEY ARE TO BE JOIN TOGETHER,IF THERE ARE SEPARATED THE SOLUTION IS GOING TO BE...
3^-6
using law of indices x^-a = 1/x^a
So 3^-6 = 1/3^6
Now find the power of 3^6
which is the same as 3×3×3×3×3×3 = 729
therefore 1/3^6 = 729
For 3^-4
using the above method
3^-4 is same as 1/3^4
which is equal to
finding the nominator
3×3×3×3 = 81
so the answer is 81
Answer:
Step-by-step explanation:
4x-8 = 3x+3
x = 11