Parallel lines share the same slope. Thus, every line in the form y=(1/2)x+n will be parallel, where n is some constant.
Answer:
PT = 17
Step-by-step explanation:
Since T is the midpoint of PQ, then
PT = TQ , substitute values
4x + 5 = 8x - 7 ( subtract 4x from both sides )
5 = 4x - 7 ( add 7 to both sides )
12 = 4x ( divide both sides by 4 )
3 = x
Thus
PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17
Answer:
C. √2 - 1
Step-by-step explanation:
If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)
Let r = the radius of the small circle
Using Pythagoras' Theorem 
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
to find the diagonal of the square:



So the diagonal of the square = 
We are told that the radius of the large circle is 1:
⇒ Diagonal of square + r = 1





Using the quadratic formula to calculate r:




As distance is positive,
only
The Aztec Empire was considered as A. a small ,complex civilization.<span />
Answer:
x<39.76 OR x>388.23 (In degrees Celsius.
Step-by-step explanation:
Melting point is when a a substance turns from a solid to liquid, and boiling point is the point where it turns from a liquid to a gas. That means in between these points is when the matter is in the liquid state, so it could be anything not included from the range 39.76-388.23.