The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the
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Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
<em><u>Question:</u></em>
Ana participated in a charity walk. She raised $0.25 for each 1/2 mile that she walked.The first day Ana walked 11 miles.The second day, she walked 14 miles.How much money did Ana raised?
<em><u>Answer:</u></em>
Ana raised $ 12.5
<em><u>Solution:</u></em>
From given question,
First day walk = 11 miles
Second day walk = 14 miles
<em><u>Let us first calculate the total distance she walked</u></em>
Total distance = first day walk + second day walk
Total distance = 11 + 14 = 25 miles
Thus she walked for 25 miles
Given that,
<em><u>She raised $0.25 for each 1/2 mile that she walked</u></em>
Therefore, for 1 mile we get,
Now calculate for 25 miles
Thus she raised $ 12.5