Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
Answer:
(-6+y)-3y=28
-2y-6=28
-2y=34
y=-17
Then,
x=-6-17
x=-23
Step-by-step explanation:
Answer:
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56
Step-by-step explanation:
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10% of 59 = 5.9
59 - 5.9 = 53.1
answer: sale price is $53.1
Answer:
Step-by-step explanation:
Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.
4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.
Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a 
and 
. Since 5 can't go into 3, we must use 3 to factor.
Our factoring variable will therefore be 
. Now, use this to simply divide and get the answer:
So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.
When dividing the 12 and 4, minus the and to get 
. Get rid of the term for the 16 and leave the 4. And there's your answer!
