Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
Answer:
The angle ZLK has a value of 75 degrees.
Step-by-step explanation:
We can calculate this as:
We replace the angles values in the equation, as both angles that are formed with Z (MLZ and ZLK), when added, gives as the angle MLK. This allows us to calculate x. The value for x is -11.
Then, with the value for x we can calculate any of both angles.
Answer:
25 = x
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
5x+15 = 6x -10
Subtract 5x from each side
5x-5x+15 = 6x-5x -10
15 = x - 10
Add 10 to each side
15+10 = x-10+10
25 = x
Answer:
I believe that the answer is A or the first choice.
Step-by-step explanation:
because the rule for x is +1 and its y is the only one with a rule.
The rule is +1/2
