Answer:
see below
Step-by-step explanation:
Popcorn is preferred by about 1/2 of the folks, so 3 of the 6 outcomes from a die roll will model this well. Only the 1st and 3rd choices show 3 outcomes representing Popcorn.
Hotdogs are preferred by about 1/6 of the folks, so 1 of the 6 outcomes from a die roll will model this well. Only the 1st and 2nd choices show 1 outcome representing Hotdogs.
Only the 1st choice models the preferences appropriately.
Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:
Plug in the values
Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3