Answer:
Step-by-step explanation:
<u>Options:</u>
A. m∠C + m∠E = m∠A
- Correct. Exterior angle equals to sum of non-adjacent interior angles.
B. m∠D + m∠F = m∠B
- Incorrect. Exterior angles have greater value.
C. m∠B + m∠C + m∠E = 180°
- Correct. Interior angles of a triangle sum to 180°
D. m∠B + m∠C + m∠D = 180°
- Incorrect. Angles C and D sum to 180°
E. m∠A + m∠ B = m∠E + m∠F
- Correct. Both sides of equation refer to straight angle.
F
. m∠B + m∠C + m∠ E = m∠A + m∠D + m∠F
- Incorrect. Some of interior angles is not equal to sum of exterior angles.
Use the formula
x
=
−
b
2
a
x
=
-
b
2
a
to find the maximum and minimum.
(
−
3
4
,
41
8
)
2(n+4) + 6 = (1/2)(3-n)
Then 2n + 8 + 6 = 3/2 - n/2
and 2n + 14 = 3/2 - n/2
(5/2)n = 3/2 - 28/2 = -25/2
-25/2
n = -------------- = -5 (answer)
5/2