Answer:

Step-by-step explanation:
step 1
Find the slope of the given line
we have

This is the equation of the given line in slope intercept form
The slope is 
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
The slope of the line parallel to to the given line is 
step 3
Find the equation of the line in point slope form

we have


substitute

step 4
Convert to slope intercept form

isolate the variable y



A = (9/6)*10 mm = 15 mm
b = (35/10)*6 mm = 21 mm
The ratio in parentheses is the ratio of corresponding sides in the respective rectangles, so is the scale factor. The unknown dimension is that scale factor applied to the corresponding known dimension.
The probability of the next pizza not being cheese is
P(not cheese) = 100 - P(cheese)
the probability of it being cheese is 21/(total)
Total = 21 + 14 + 23 + 14
Total = 72
So, P(cheese) = 21/72 x 100
which is roughly 29%
So P(not cheese) = 100 - 29 = 71%
Answer:
x = 51/6 or 17/2
<u>Step-by-step explanation:</u>
9( x-3) = 3 (x + 8)
Distribute
9x - 27 = 3x + 24
Add 27 to both sides
9x = 3x + 51
Subtract 3x from both sides
6x = 51
Divide both sides by 6
x = 51/6 or 17/2
Answer:
#2
It is assumed the base of the prism is a square wit side of 5 cm.
<u>The volume is:</u>
<u>The base is:</u>
<u>Find h:</u>