What is scale factor of the two triangles ?
2 answers:
Answer:
A. 3/4
Step-by-step explanation:
We have to find which sides correspond to which other ones'.
The sides in order of increasing in triangle 1: NK, GK, GN
The sides in order of increasing in triangle 2: AH, HL, AL
AH~NK 4 ~ 3
HL~GK 8 ~ 6
AL~GN 15 ~ 20
When we put them into a fraction and simplify that should be our answer.
=
=
The simplest fraction is 3/4 so that is our answer.
If you want to make ΔAHL = ΔNKG you have to multiply each of the sides by 3/4. But if you want to make ΔNKG = ΔAHL multiply each side of ΔNKG by 4/3.
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Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2 )
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.