Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3
Problem 1, part (a)
<h3>Answer: False</h3>
For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
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Problem 1, part (b)
<h3>Answer: true</h3>
This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
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Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.
168
You add 4, 1, and 2 to get 7. You put 4/7=x/294. Then you use proportions to solve for x.
7x=1176
x=168
-2 < -1,5p - 8
-1,5p - 8 > -2
-1,5p > -2 + 8
-1,5p > 6 / : (-1,5)
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