State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, write invalid 10. Given: If a number is a whole number, then it is an integer. Given: 3 is an integer Conclusion: 3 is a whole number

11. Given: If the Patriots win their next game, then they will win their division.
Given: If the Patriots win their next game, then they will go to the playoffs. Conclusion: If the Patriots win their division, then they will go the playoffs.

12. Given: If two lines are parallel, then they never intersect.
Given: If two lines never intersect, then they have the same slope. Conclusion: If two lines are parallel, then they have the same slope.

13. Given: If you sell $1000 worth of popcorn, then your Boy Scout dues are free.
Given: Ethan sold $1000 worth of popcorn. Conclusion: Ethan's Boy Scout dues are free.

14. Given: If you are at least 18 years old, then you can apply for a credit card.
Given: Kelly is iq years old Conclusion: Kelly can apply for a credit card

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

the correct answer would be:

220 centimeters

to get this you can use the pythagorean theorem

hope this

step-by-step explanation:

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.