Answer:

Step-by-step explanation:
Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)

First equation is for triangle ABD
Second is for BCD
And the last one is for ACD
Substitute
and 

As discovered before

Answer:
A: False
B: False
C: True
D: True
E: False
F: True
G: True
H: True
Step-by-step explanation:
A: 9(x - 2) = 9x + 2
9x - 18 = 9x + 2 FALSE
B: 65 - y = y - 65
(equation rearranged) -y + 65 = y - 65 FALSE
C: g (times) h = h (times) g (TRUE due to the commutative property of multiplication)
D: a (times) 0 = 0 (TRUE because anything times 0 equals 0)
E: (4 (times) 2) - r = 4 (2 (times) r)
8 - r = 8 - 4r FALSE
F: k + 0 = k TRUE
G: (a + x) + y = a + (x + y)
a + x + y = a + x + y TRUE
H: 5(2x - 9) = 10x - 45
10x - 45 = 10x - 45 TRUE
Since the limit becomes the undetermined form

it means that both polynomials have a root at
. So, we can fact both numerator and denominator:


So, the fraction becomes

Now, as x approaches 1, you have no problems anymore:

Answer:
This is not correct
Step-by-step explanation:
He could have rolled a 6 on the second roll without rolling a 6 on the first roll, the first roll had ZERO effect on the second one to be able to change what he would roll
Answer:
Option B.
Step-by-step explanation:
If two lines are parallel then their slopes are always same.
Following this rule we can find the slope by the given pairs of coordinates of the options.
If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.
Slope of y - axis = ∞
Option A). Slope = 
= 
= 
= 775
Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.
Option B). Slope of the line passing through
and
will be
= 
= ∞
Therefore, line passing though these points is parallel to the y axis.
Option C). Slope of the line passing through
and (7.2, 5.4)
= 
= 0
Therefore, slope of this line is not equal to the slope of y axis.
Option B. is the answer.