Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
=
+ 
=
+ 
36 + 12r +
= 81 + 
collecting like terms,
12r = 81 - 36
12r = 45
r = 
= 3.75
r = 3.75
The radius is 3.75.
Answer:
slope =4
Step-by-step explanation:
from, y=mx + c
where m is slope
Find the side length:
Side = 68/4 = 17
Now use Pythagorean theorem:
Diagonal = sqrt(17^2 + 17^2)
Diagonal = sqrt(289 + 289)
Diagonal = sqrt(578)
Diagonal = 24 feet
The answer is B. 24 feet
The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:
In other words:
• If d is positive and

• If d is negative and

Therefore, the equation that has no solutions is:
2.

(this is given in the first sentence)
3.

and

due to ...
7. ... the alternate interior angles theorem (which holds because

and

are parallel)
8. Because the above establishes that

, which means

, which in turn means

is a parallelogram.