Let Mike sold M cars and Bill sold B cars.
Now both sold 640 cars in total, means M + B = 640,
also Mike sold 3 times as many as Bill, means M = 3*B. So our equations became,
M + B = 640, & M = 3*B, put value of M in terms of B.
3*B + B = 640, 4*B = 640,
B = 640/4, B = 160, as M = 3*B, M = 3*160 = 480.
So Mike sold 480 cars & Bill sold 160 cars.
Answer:
e = -6
f = -2
Step-by-step explanation:
I used the elimination method and multiplied the second equation by 5 to get:
-5e + 10f = 10. Added this to:
+ 5e + 3f = -36
13f = -26
f = -2
now find e: -e - 4 = 2
-e = 6
e = -6
Answer:
triangle 4.
Step-by-step explanation:
A translation only moves vertically or (and) horizontally our image.
This means that a translation does not change the size
A translation does not rotate the image.
Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).
Then the only option that seems correct is triangle 4
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Answer:
d. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
Step-by-step explanation:
John's proof makes use of the congruence of alternate interior angles. Alternate exterior angles are not referenced by the proof, so their relation to each other is not used.