Answer:
1 : 6
Step-by-step explanation:
Calculate the perimeter
perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30
perimeter = 18x + 30 ← take out a common factor of 6 from both terms
= 6(3x + 5)
ratio of width : perimeter
= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)
= 1 : 6
12% as a fraction is 12/100 but it’s simplest form is 3/25
2x≤4
I'm not sure how else to help you in this situation, without you providing me with more information. If you want the solution for x, you would just divide both sides by the coefficient of the variable, or 2, resulting in the inequality:
x ≤ 2
Hope this helps! Comment if you need to add info or have any more questions about this problem.
Answer:
(a) scalene, see attachment
(b) acute, see attachment
(c) correct; isosceles
Step-by-step explanation:
(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.
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(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.
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(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.