Answer:
15 inches
Step-by-step explanation:
Suppose length of original square is L inches.
Now, to form a new square the length increases by 2.5 inches
So, new length=L+2.5 inches
Given that, perimeter of new square =70 inches.
Formula:-
Perimeter=4*length of square
Therefore 70=4*(L+2.5)
70 =4 L+10
4 L=60
L=15 inches
D is the correct answer. I think.
Number of fish to be bought = 6
Price of each fish = x
⇒ Total price of fish bought = 6x
We know that the total cost can not be $2 more or less than $36
⇒ 36-2 ≤ 6x ≤ 36+2
⇒ 34 < 6x ≤ 38
Let's look at all the options and see which equation matches the above inequality.
A) |36+6x| ≤ 2
Since the above is a mod function, it can be written as:
⇒ -2 ≤ 36+2x ≤ 2
⇒ -38 ≤ 2x ≤ -34
⇒ -19 ≤ x ≤ -17
This doesn't match with the above. Hence, this is not the correct option.
B) |6x+2| ≤ 36
⇒ -36 ≤ 6x+2 ≤ 36
⇒ -38 ≤ 6x ≤ 34
This also doesn't match with the required inequality. Hence, this option is not correct
C) |6x-2|<36
⇒ -36 ≤ 6x-2 ≤36
⇒ -34 ≤ 6x ≤ 38
This also doesn't match with the required inequality. Hence, this option is not correct
D) |36-6x| ≤ 2
⇒ -2 ≤ 36-6x ≤ 2
⇒ -38 ≤ -6x ≤ -34
Multiplying the above by -1
⇒ 38 ≥ 6x ≥ 34
or 34 ≤ 6x ≤ 38
This inequality matches with the required one. Hence, D is the correct option.
Answer:
Postulate 3: Through any three points that are not one line, exactly one plane exists. State the postulate that verifies line segment AB is in plane Q when points A and B are in Q.
Step-by-step explanation:
Postulate 4: If two points lie in a plane, the line containing them lies in that plane. hope this helps you :)