<span>This is a right triangle problem. c^2 = a^2 + b^2 Let b = 7 mi (Rosa's distance from home) Let a = the east leg (Juan's distance from home (a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1) a^2 + 2a + 1 = a^2 + 49
Combine like terms a^2 - a^2 + 2a = 49 - 1 2a = 48 a =
<span>a = 24 mi, Juan's distance from home
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180-70-30=80 The answer is 80 The two triangles are the same. Corresponding angles of congruent triangles are equal. A triangle's three angles add up to 180 degrees.
