9514 1404 393
Answer:
140°
Step-by-step explanation:
The value of the exterior angle (x°) is the sum of the other two angles shown. These are known as "remote interior angles."
x° = 64° +76°
x° = 140°
_____
<em>Additional comment</em>
This relationship derives from the fact that the exterior angle and the adjacent interior angle have a sum of 180° (they are a linear pair). We also know that the adjacent interior angle and the other two given angles have a sum of 180°.
If we call the unknown interior angle U, these relations are ...
64 + 76 + U = 180 . . . . sum of angles in a triangle
x + U = 180 . . . . . . . . . . sum of angles in a linear pair
Comparing these two equations, we see that ...
64 + 76 = x
Answer:
BF = 18
Step-by-step explanation:
In triangle BCD, H is the Centroid.
Centroid of a triangle divides the median in the ratio 2 : 1.
Therefore, BH : HF = 2 : 1
Let BH = 2x & HF = x
Since, HF = 6.... (given)
So, x = 6
2x = 2*6 = 12
BH = 12
Now,
BF = BH + HF = 12 + 6
BF = 18
Answer:
4^48
Step-by-step explanation:
you add the exponents
<span>Volume of a square = (s)(s)(s) and s=5a+4b
Therefore: (5a+4b)(5a+4b)(5a+4b)=
(25a^2+40ab+16b^2)(5a+4b)=
(125a^3+200a^2b+80ab^2+100a^2b+160ab^2+64b^3)= (125a^3+300a^2b+240ab^2+64b^3)
You just multiple the first time the second and then do so again with the combination of the first two times the second. A little cleaning up and you are left with an equation in terms of a and b.</span>
2+(65+7)x3=2+72x3=2+216=218 answer is 218
