The measure of angle ABC is 45°
<em><u>Explanation</u></em>
Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)
According to the diagram below....
Length of the side BC (a) 
Length of the side AC (b) 
Length of the side AB (c) 
We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

So, the measure of angle ABC is 45°
Answer:
n= 1/2 (
) or (0.5)
AND
n= -3/2 (
) or (-1.5)
Step-by-step explanation:
4n^2+4n=3
step1: move 3 to the other side and make the equation equal to zero.
4n^2+4n-3=0
step2: factorise the equation.
(2n-1)(2n+3)=0
step3: make each bracket equal to zero.
2n-1=0
2n+3=0
step4: solve for n values.
<u>1.</u> 2n-1=0
(add 1 for both sides)
2n=1
(divide by 2 for both sides)
n= 1/2 (
) or (0.5)
<u>2.</u> 2n+3=0
( subtract 3 for both sides)
2n=-3
(divide by 2 for both sides)
n= -3/2 (
) or (-1.5)
Graphing the points shows you that ...
The 2 towns closest together are Dunkirk and Allentown.
The 2 towns farthest apart are Dunkirk and Clearfield.
_____
A compass (or dividers) can help you sort it out once you plot the points on a graph, if you don't trust your eyeballs to tell you which distances are longest and shortest.
Hi
y = mx+b
2x - 3y + 6 = 0
3y = 2x+6
y = 2x/3+6/3
y = 2x/3+2
m = 2/3
The range is [-1 , ∞ )
So, all real numbers greater than or equal to -1.