Answer:

Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol).
The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.
Use cosine theorem to determine the cosine of the largest angle:
where
is the largest angle.
Then

Since
then

Divide this inequality by 5:

Note that
then the smallest possible whole-number value of x is 7.
Answer: correct choice is B
Answer:
x=8
z=132
Step-by-step explanation:
We know that 6x and 4x+16 are vertical angles, so they are equal
6x= 4x+16
Subtract 4x from each side
6x-4x = 4x-4x+16
2x =16
Divide each side by 2
2x/2 =16/2
x =8
We also know that 6x and x form a straight line
6x+z = 180
6(8) + z =180
48+z =180
Subtract 48 from each side
48-48 +z =180-48
z = 132