The first pair of triangles are similar.
Triangle ABC is similar to Triangle PQR.
I used the SSS theorem of congruency.
( side - side - side) since I knew the sides were equal I knew that they were congruent.
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The second pair of triangles are similar too.
Triangle ABC is similar to Triangle DEF.
I also used the SSS theorem of congruency.
Since I knew what the sides were, I did some calculations and they all equalled 6...
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I hope that helps you out!! Any more questions??
The formula is y= k x where k is the constant of variation, so plug a coordinate in the formula to find value of k, lets get (3,12) you have 12 = 3k, then k = 4, if you get (9,36) then you have 36 = 9k where k = 4
Answer:
y = (-2/3)x +1
Step-by-step explanation:
The standard equation of a line is: y=mx+b where m-is the slope, and b-is the y intercept. Rewrite the given equation in standard form.
3x+2y = 6
2y = 3x+6
y= (3/2)x+3
So the given equation has the slope m =3/2 and y-intercept= 3
A line ⊥ to the given line will have the slope <u>negative reciprocal </u>so the line is
y= (-2/3 )x +b
To find b will substitute the given point (6,-3) in the new found equation
-3= (-2/3 )6 +b
-3= -4 +b
-3+4 = b
1 = b
The equation of the line that is perpendicular to the graph of 3x+2y=6 and contains the point (6,-3) is y = (-2/3)x +1
<u>in</u><u> </u><u>slope</u><u> </u><u>in</u><u>t</u>ercept
y = -5x - 7
point slope form
y + 5x - 7 =0
