Answer:
A: Yes: triangle DBC is a dilated figure of DEF so their sides would be congruent is scaled to equality. Similar implies that the two triangles could be equal if you use transformations (translation, reflection, etc) and a dilation is a form of translation
B: BC; each of the sides are scaled and looking at the two triangles it is a) easy to physically determine that they are the same and b) their placements within the triangle indicate their alignment
C: C; Once again physicality and placement indicate the alignment of the two and both of them are 90 degrees
Step-by-step explanation:
Rise over run, so if the line had a slope of 3/5 you would go up 3 and over 5 to plot your next point. I hope this helped <3
Answer:
Scalene acute
Step-by-step explanation:
All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene
Answer:
8 years
Step-by-step explanation:
The first company's offer is $8000 lower, but the raises are $1000 higher each year. It will take 8000/1000 = 8 years for the salaries to be the same.
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If you like, you can write an equation that will tell you the same thing.
28000 +3000y = 36000 +2000y
Subtract 28000+2000y from both sides:
3000y -2000y = 36000 -28000
1000y = 8000
y = 8000/1000 = 8
The equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so
we see that the slope is rise/run=3/4
3 points we see are (-4,-6), (0,-3) and (4,0)
we get the equations
y+6=3/4(x+4)
y+3=3/4(x+0)
y+0=3/4(x+4)
answer is the first equaiton
y+6=3/4(x+4)
