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ser-zykov [4K]
2 years ago
14

Name of politician: His or her advocacy and believes: Ideology he or she believes in:

Law
1 answer:
Juli2301 [7.4K]2 years ago
8 0
1)Theodore Roosevelt
2) Progressive movement, The square deal.
3) Conservation of land
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Given AB | | DE. Triangle A B C. Side A B is 12 miles and B C is x miles. Triangle C D E. Side C D is 6 miles and D E is 8 miles
Crank

Answer:

12 miles

Explanation:

Two triangles are similar if their two corresponding angles are congruent (equal) to each other.

if their two corresponding angles are of equal this also means that the third angle is also equal and corresponding.

ΔABC ∼ ΔEDC (two corresponding angles are congruent)

Therefore to find the sides, we use the following proportions:

\frac{AC}{AE}=\frac{BC}{BD}=\frac{DE}{AB}

BC = x miles, CD = 6 miles. Therefore BD = BC + CD = (6 + x) miles

DE = 8 miles, AB = 12 miles

Therefore:

\frac{BC}{BD}=\frac{DE}{AB}\\\frac{x}{x+6}=\frac{8}{12}\\48 + 8x = 12x\\ 12x-8x=48\\4x=48\\ x=48/4=12\\x=12miles

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