Answer:
15 inches
Step-by-step explanation:
The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...
l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches
If im wrong just tell me im sorry if it is
Ally~
The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.
The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

The value of y is 23.
The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

Thus, the value of x is 15 degrees.
The value of 12z is 45 degrees.

Thus, the required value of z is 3.75 degrees.
<span>The arcs must intersect because the point at which the arcs intersect forms the halfway point of the angle; if they don’t intersect, the angle will not be bisected. </span>
Answer:
Midpoint = (3.5, 4.5)
Perpendicular bisector = y =
x + 
Step-by-step explanation:
[] We can solve this using the midpoint formula:
-> See attached
[] Plug-in our coordinates and solve:

[] Now we will find the slope to solve for the perpendicular bisector.
-> We will use slope-intercept form, see attached

-> The slopes of two perpendicular lines are negative reciprocals of each other, so
will be the slope of or perpendicular bisector
-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint
y - 4.5 =
(x-3.5)
y - 4.5 =
x-
y =
x-
+ 4.5
y =
x + 
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
<span>f(x+5/4) means that f(x) is translated 5/4 units left.
f(x-5/4) means that f(x) is translated 5/4 units right.
f(x)-5/4 means that f(x) is translated 5/4 units down.
f(x)+5/4 means that f(x) is translated 5/4 units up.
f(x*5/4) means that f(x) is compressed by a factor of 5/4.
f(x/5/4) means that f(x) is stretched by a factor of 5/4.</span>