Answer:
The correct option is C ) 109.5°
Therefore,

Step-by-step explanation:
Given:
In Triangle DEF
d = 10
e = 18
f = 12
To Find
angle E = ?
Solution:
In Triangle DEF , Cosine Rule says

Substituting the values we get


Therefore,

............As it is in Second Quadrant
Therefore,

Answer:
7x - 6y = 16
y = (-5)
using substitution method
7x - 6(-5) = 16
7x +30 = 16
7x = 16 - 30
7x = 14
x = 14/7
x= 2
Answer:
3
Step-by-step explanation:
Segment BC corresponds to segment DF. The length of BC is the distance between coordinates (0, 2) and (3, 2). These points are on the same horizontal line (y=2), so the distance between them is the difference of their x-coordinates: 3 - 0 = 3.
Answer:
(x,y)=(-10, -30)
Step-by-step explanation:
x/4 -y/12 = 0
--> x/4 = y/12
substitute into the first eq.
x/4 + y/12 = -5
y/12 + y/12 = -5
2y/12 = -5
y= (-5) * 12/2 = -30
solve for x, x/4 = (-30)/12
x=4* (-30)/12 = -10