Question

which point is not collinear with the other points?
15.
a
a
c
e
b
16.
which of the following illustrates the law of syllogism?
if $(p\to q)$ and $(p\to r)$, then $q\to r$.
a
if $(p\to q)$ and $(q\to p)$, then $p\to r$.
b
if $(p\to q)$ and $(q\to r)$, then $p\to r$.
c
if $(p\to r)$ and $(q\to r)$, then $p\to r$.
d
17.
find the value of n if point s lies between points r and t and
$rs = 6n$, $st = 35$, and $rs = 42$.
5.83
a
12.83
b
7
c
1.17
d

Explanation:

15.

Collinear points lie on the same straight line. Points \(A\), \(B\), \(C\) lie on line \(l\), points \(D\), \(B\) lie on line \(m\), and points \(F\), \(E\), \(G\) lie on a vertical line. Point \(E\) does not lie on the same line as \(A\), \(B\), \(C\) or \(D\), \(B\).

The Law of Syllogism states that if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\).

Step1: Set up the equation

Given \(RS = 6n\) and \(RS=42\) (since \(RS\) is given two expressions and they are equal because \(RS\) represents the same segment).

Step2: Solve for \(n\)

We have the equation \(6n=42\). Divide both sides by \(6\): \(n=\frac{42}{6}\)

Answer:

C. E

16.