Answer: 
Step-by-step explanation:
Given, the length of the rectangular dog run is 18 feet.
Formula: Perimeter = 2 ( length + width)
Let width be x.
Then, Perimeter = 2 (18 + x ) feet
The perimeter of the dog run must be at least 42 feet and no more than 72 feet.
That is
Divide inequality by 2, we get
Subtract 18 from each side, we get
Required inequality :
B.
Let's simply look at each conjecture and determine if it's true or false.
A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will
always be even. And an even number minus 1 is always odd. Doesn't matter
if n is positive or not. So this conjecture is true.
B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.
C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always
be odd, regardless of what n is. So this conjecture is true.
D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.
Of the 4 conjectures above, only conjecture B is false. So the answer is B.
Answer:
40° and 140° (with x = -10)
Step-by-step explanation:
Since the angles are supplementary (when added, equal 180°), you can add the two angles together to get (-18x)°. 180/-18 = -10 for x. Fill in -10 for x in both expressions. (-14 • -10)= 140° and (-4 • -10)- 40°. 140+40=180
Answer:
(-3, -5), because the point satisfies both equations.
