Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Answer:
50.265448
Step-by-step explanation:
By permutation without repetition, there are 524160 possible different special pizzas.
The possible special pizzas can be calculated with permutation without repetition. The formula of permutation without repetition can be written as
P = n! / (n - k)!
where P is all of the possible combinations, n is the number of objects or elements, and k is how many numbers should be chosen.
From the question above, we know that :
n = 16
k = 5
By substituting the parameters, we can determine all of the possible different pizzas
P = n! / (n - k)!
P = 16! / (16 - 5)!
P = 16! / 11!
P = 16 x 15 x 14 x 13 x 12 x 11! / 11!
P = 524160
Hence, there are 524160 possible different special pizzas
Find out more on permutation without repetition at: brainly.com/question/1216161
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