Question

If possible, use the Law of Detachment to draw a conclusion from the 2 given statements. If not possible, write not possible.

Statement 1: If x = 3, then 3x - 4 = 5.
Statement 2. x = 3

a. 3x - 4 = 5
b. x = 3
c. If 3x - 4 = 5, then x = 3
d. Not possible

Answer 1

Which statement is the Law of Syllogism?

a. If p -> q is a true statement and p is true, then q is true.
b. If p -> q is a true statement and q is true, then p is true.
c. If p -> q and q -> r are true statements, then p -> r is a true statement.
d. If p -> q and q -> r are true statements, then r -> p is a true statement.

Answer 2

BD bisects <ABC. m<ABC = 7x. m<ABD = 3x + 25. Find m<DBC

a. 50
b. 125
c. 75
d. 175

Answer 3

#1.) It's A because if you know x = 3, then 3x – 4 = 5 is true based on the given conditional
#2.) It is C. If p -> q and q -> r are true statements, then p -> r is a true statement.
#3.) It is given that BD bisected the angle ABC.

so m<ABD = m<CBD = m<ABC/2

given that m<ABC = 7x

so m<ABD = m<DBC = 7x/2

but ABD = 3x + 25

3x + 25 = 7x/2

multiply with 2

6x + 50 = 7x

subtract 6x

50 = x

m<ABD = m<DBC = 3(50) + 25
= 150 + 25 = 175

So it is D.

Hope this help you out! :D
- Jonathan. K

Answer 4

Thanks.

Answer 5

Will you uhh... Click best response on my name?

Answer 6

No? ok..