The vertices of a triangle are a(7,5) b(4,2) and c(9,2) what is mabc

The measure of ∠ABC  is 45°.

Step-by-step explanation:

Given : The vertices of a triangle are A(7,5) B(4,2) and C(9,2).

To find : What is ∠ABC ?

Solution :

First we side the length of the sides,

Using Distance formula,

Length of side AB, A(7,5) and B(4,2)

Length of side BC, B(4,2) and C(9,2)

Length of the side AC, A(7,5) and C(9,2)

By the Law of Cosines,

Substitute the values,

Taking Inverse Cosine function,

Therefore, The measure of ∠ABC  is 45°.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?