Answer:
H
Step-by-step explanation:
The parallel line BC divides the sides AD and AE in proportion, that is
=
, that is
=
( cross- multiply )
3AC = 8 ( divide both sides by 3 )
AC =
= 2
, hence
AE = AC + CE
= 2
+ 4 = 6
→ H
Answer:
Yes
Step-by-step explanation:
14/18 equals 7/9
Dividing by two on the first ratio makes:
7/9 equals 7/9
Answer:
3.
equation = 
Using:
or
or
7^2 + 12^2 = c^2
49 + 144 = c^2
c^2 = 193
missing length = 13.9 inches
4. equation = 
Using:
or 
24^2 + 32^2 = c^2
reduce to:
8 multiplied by everything:
3^2 + 4^2 = c^2
Since we know 3,4,5 is a Pythagorean triple, we can use this to find c.
Since c must be 5, we multiply by 8 since we divided by 8 earlier to get the 3,4,5 and get 40.
missing length = 40 inches
Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so

and

where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates


The x-coordinate of P is equal to

where
A_x represent the x-coordinate of A
substitute the values

therefore
The x-coordinate of point P is 6