Step-by-step explanation:
strange, because the way you typed it, it would be absolutely correct.
If a < b and if c is a positive number, then
a/c < b/c
Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol.
that is one of the defined rules.
so, did you make a mistake with a sign ? maybe the division is meant to be by -3 ?
then indeed, suddenly
5 > 2
so, please check the problem definition precisely. if your correct answer is actually wrong, then the original problem must be different than what you typed here.
Answer: 7 inches
Step-by-step explanation:
If x is the first piece, and the second piece is twice as long, then the second piece is 2x.
If the third piece is three times as long as the first piece, x, then the third piece is 3x.
The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.
42 = x + 2x + 3x
42 = 6x
42 = 6x
7 = x
The first piece is 7 inches long.
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Answer:
Step-by-step explanation:

Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
Answer:
False
Step-by-step explanation:
Complimentary angles add up to 90°, supplementary angles add up to 180°.