Answer:
Step-by-step explanation:
The distance between two points is
d^2=(y2-y1)^2+(x2-x1)^2
D) points (0,0) and (9,12)
d^2=(9-0)^2+(12-0)^2
d^2=81+144
d^2=225
d=15
E) points (1,2) and (-3,5)
d^2=(-3-1)^2+(5-2)^2
d^2=16+9
d^2=25
d=5
Answer:
The similar triangles are
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are
and 
Solving (b): Why they are similar
Both triangles are similar because
is dilated (i.e. enlarged) and then reflected to give
.
Solving (c): Calculate BE and PE
The following are equivalent ratios

and

Solving for BE, we have:

Substitute the known values

Express as fraction

Multiply both sides by 450


-- approximated
Solving for PE, we have:

Substitute known values

Express as fraction

Multiply both sides by 400



Answer:
Step-by-step explanation:
(-1/8)/(-1/3) = (-1/8)×(3/-1) = (-1)(3)/(8)(-1) = -3/-8 = 3/8
Answer:
Sorry I made a mistake here is a picture of the answer. I hope this helps.
Answer:
18 units
Step-by-step explanation:
The centroid is located 1/3 the distance from the midpoint of a side to the opposite vertex. That means ...
CG = 2·DG = 6 + DG
Then
DG = 6 . . . . . . subtract DG from the above equation
Of course, ...
CD = CG +DG = 2·6 +6
CD = 18