Given:
Triangle Point coordinates or vertices:
A(16,0)
B(9,2)
C(2,0)
Required:
Side with slope -2/7
Solution:
To know which side has the slope required, we need to calculate the slope of each paired point by the two-point slope formula:
m = (y2-y1)/(x2-x1)
We first try points A and B.
m1 = (2-0)/(9-16)
m1 = -2/7
Thus, the side with the slope -2/7 is side AB.
Step-by-step explanation:
Consider LHS

Apply quotient identies

Multiply the fraction and sine.

Make cos x a fraction with cos x as it denominator.

so

Pythagorean Identity tells us sin squared and cos squared equals 1 so

Apply reciprocal identity.

Answer: m = 3/4
Step-by-step explanation:
Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:


Let us try to find out
and
. After that we will compare them.
<u>Finding </u>
<u>:</u>
Side EG is a straight line so 
is sum of internal
and external 
<u>Finding </u>
<u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external
= 

Comparing equations (1) and (2):
It can be clearly seen that:

The two angles of
are equal hence
is isosceles.