Both angles are vertical angles. According to the Vertical Angles Theorem, vertical angles are congruent. Therefore:
6x°=120° [Vertical Angles Theorem (vertical angles are Congruent)].
6x/6=120/6 [Division P.O.E]
x=20.
Therefore, if x=20, then:
6(20)=120 [Substitution P.O.E.
120=120 [Symmetric P.O.E]
And thus,
x=20
Answer:
3/30 =1/10
Step-by-step explanation:
add up the number of balls and then
number of black balls divided by the total number of balls.
Answer:
16%
Step-by-step explanation:
The additional wage amount is $80.
The original wage amount is $500.
The ratio of the two is ...
$80/$500 = 0.16 = 16/100
To express that ratio as a percentage, multiply it by 100%.
0.16 × 100% = 16%
_____
It might help you to think of the percent sign (%) as a fancy way to write "per hundred" (/100). Of course, using your knowledge of place value, you know that 0.16 = sixteen hundredths = 16/100.
Realizing the meaning of the % sign, you can immediately write this as 16%.
The answer is 15 days.
The first step you need to take is to subtract the amount of cards he has from the amount of cards he needs. So 334 (needs) - 214(has) = 120 cards he still needs. So he is collecting 8 cards a day. In order to find out how many days it will take to collect the 120 cards, we need to divide 120 by 8. 120 divided by 8 is 15. So it will take 15 days collecting 8 cards a day in order to reach the 120 cards he still needs to collect.
