(-2,-3) would make these two triangles congruent.
If you look at the slope of line DE, you see it has a -1 slope.
Line BA also has a -1 slope.
So line AC = line FE and line BC = line FD
The slope of AC is 3
The slope of BC is 1/3
Two possible points for F are (2,1) and (-2,-3)
Since (2,1) is not an option, C. (-2,-3) is your answer.
If they have to be different then
10 numbers total
9*8*7=504 ways
1/504
if they can be same numbers
9*9*9
729
1/729
I believe the answer would be the first choice (4 of each color) because of how similar the probabilities are. The table showed that the probabilities are very similar, and this model represents that.
Answer:
a) 148.26 m
b) 21.94 degrees
Step-by-step explanation:
a)
tan 56 = 100/x
1.4826 = 100/x
x = 148.26
b)
148.26 + 100 = 248.26
tan y = 100/248.26
tan y = 0.4028
y = 21.94 degrees
The answer should be $10.80.
The reason being. 180 x 6% = 10.80. You would then add 10.80 to 180 to get the total which would be $190.80. But you only need what the tax would be so the tax would be $10.80