Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
14. 70% of 20000 is 14000. 25% of 14000 is 3500. 3500 students applied.
15. The percentage of 4000 that 2600 equates to would be 65%.
16. 4% of 33000 is 1320.
16b. Double of 1320 is 2640.
17. 3% of 110 + 275 + 200 + 145 is 21.9. 97% of that is 711.1. Total is 730.
18. There are 1656 men working. Total of 1380 + 1656 is 3036. Two ways to solve this are:
Honestly I can't think of two. Sorry, my brain is completely fried today.
19. 760 in sales commissions to meet the wage amount.
20. The agency gets 21010. 30% of that is 6303. This is explained by owning a calculator or simple value elimination.
Answer:
Step-by-step explanation:
I'm her first quiz she did better, this is going to be hard to explain but pay attention 92% as a decimal is 92/100 keep this in mind, then 27 out of 30 question we try to make 30 go into 100 but we know 30 can't go into 100 without a decimal so what we do is we change the decimal to 90 so for the 27 out of 30 it is now 81/90, now we need to change the denominator in 92/100 to 90 so we subtract 10 from the numerator and denominator to get 82/100 so compare the 2 decimals you got 81/90 and 82/90 and you find that 82/90 is bigger so she did better on the first quiz
There will be 42 in each row with 2 left over
