A line has the angle of 180°
I'm going to assume that blurry number is a 35, but you can use this for any situation
180 - 35 = 145°
Angle x and y are the same
Answer:
4) 12 different calzones
5) 15 ways
6) 8 outfits
Step-by-step explanation:
When counting the total number of combinations like these situations, multiply the number of choices of each type together
For 4: 3 sizes, times 4 fillings, is 12 different calzones
For a small calzone, there are 4 diffferent fillings to choose from, making 4 calzones,
For a medium calzone, there are 4 differnt fillings, making 4 more for a total of 8,
For a large calzone, there are 4 different fillings, making 4 more for a total of 12
The same logic applies to the other problems
Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero
x+6=0
x=-6
x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6
use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1
the numbers are -4,-5,-6
Answer:
(18-x-5) + (18+x)/2 =Total Left
Step-by-step explanation:
Sue has left Tony has left
(18-x-5) + (18+x)/2 = Total Left