Answer: 109.1 degrees 
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where 
U = 13i - 8j 
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
 = sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula 
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value 
Ø = cos^-1( -32687)
Ø = 109.079 degrees 
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees 
 
        
             
        
        
        
Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures  and
 and  are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:
 are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

Then

17. Two parallel lines are cut by transversal. Angles with measures  and
 and  are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:
 are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

Then

18. Two parallel lines are cut by transversal. Angles with measures  and
 and  are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:
 are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

Then

19. The diagram shows two complementary angles with measures  and
 and  . The measures of complementary angles add up to
. The measures of complementary angles add up to  then
 then

Hence,

Check:

20. Angles  and
 and  are vertical angles. By vertical angles theorem, vertical angles are congruent, so
 are vertical angles. By vertical angles theorem, vertical angles are congruent, so

Hence,

21.  and
 and  are supplementary. The measures of supplementary angles add up to
 are supplementary. The measures of supplementary angles add up to  so
 so

Therefore,

 
        
             
        
        
        
Answer:
V = 8 × 6 × 3 
V = 48*3
Step-by-step explanation:
V = l*w*h
We know the length is 8, the width is 6 and the height is 3
V = 8*6*3
V = 48*3
 
        
                    
             
        
        
        
4 to he power of 1/2 is 2 
I think thats because its 1/2 of 2
Sorry if I'm wrong
Hope this helps