Step-by-step explanation:
=( n-2)180
= ( 4 - 2 )180
= 360
So, 144 + 90 + m<2 +m<1 = 360
144 + 90 + 85 + m<1 = 360
319 + m<1 = 360
m<1 = 360 - 319
m<1 = 41
their is an unknown angle so let's call it x
let's find x first ( m<6=49)
x + m<6 = 180
x + 49 = 180
x = 180 - 49
x = 131
Now let's find m<7
m<7 + 38 + m<4 + x = 360
m<7 + 38 + 85 + 131 = 360
m<7 + 254 = 360
m<7 = 360 - 254
m< 7 = 106
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: ![(-\infty, -4]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-4%5D)
Curved parenthesis at negative infinity
Square bracket at -4
====================================================
Work Shown:

The last inequality shown above is the same as saying 
Converting this to interval notation leads to the final answer of ![(-\infty , -4]](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%20-4%5D)
Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.
Suppose x-6 is listed as a possible answer. That is zero if x = 6. So put x=6 into the original x^2 + 4x - 60 to get 6^2 + 4*6 - 60 = 36 + 24 -60 = 0. hence x-6 is a factor.
Answer (x-6)
on this hand :x-5 is not a factor, because plugging x=5 into does not work.