Answer:
31 units
Step-by-step explanation:
When the figure is a parallelogram, opposite sides have the same measure:
AD = BC
3x +7 = 5x -9 . . . . . . substitute given expressions
16 = 2x . . . . . . . . . . . add 9-3x
8 = x . . . . . . . . . . . . . divide by 2
Use this value of x in the expression for AD to find its required length:
AD = 3(8) +7 = 24 +7
AD = 31 . . . . units
The length of segment AD must be 31 units for ABCD to be a parallelogram.
Answer:
All Real Numbers except for 4
Step-by-step explanation:
Objective: Specify domain and range of a function.
The equation is a linear equation. A linear equation range is all real numbers. However x cannot equal 1 so let plug in x to find where the y value CANT be.

So the range is
All Real Numbers except for 4.
X/3+7
co-efficient=1/3
how?
x/3 is also the same as x(1/3).
Answer:
x > 2
y ≥ 2
x + y ≤ 8
Step-by-step explanation:
Here, we want to write a system of equations according to the given variables
More than means, greater than
since x is the variable we want to use;
x > 2
At least 2 hours means greater than or equal to 2
That is mathematically represented as;
y ≥ 2
At most means less than or equal to
So;
x + y ≤ 8