Answer:
x = 2
Step-by-step explanation:
these angles are alternate-interior angles which are congruent
-1 + 38x = 36x + 3
38x = 36x + 4
2x = 4
x = 2
Answer:
20 green pencils
Step-by-step explanation:
The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.
The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.
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If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...
(7k -5k) + (3k -2k) = 12
3k = 12 . . . . simplify
k = 4 . . . . . . divide by 3
5k = 5·4 = 20 . . . . . number of green pencils
Answer: 
Step-by-step explanation:
(3x^2+x-1)(x^4-2x+1)
=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1
=3x^6+x^5-x^4-6x^3+x^2+3x-1
Hope this helps!! :)
Please let me know if you have any question
Answer:
1) 95% is the minimum
Step-by-step explanation:
If 5 tests were taken, and 100 pts each, and he received 77/100 on all 5 tests, then his grade would be 385/500 being 77%. Add another 100 pts to the denominator (for the last test) and 95 to the numerator, equaling 480/600, or 80%.
