Answer:
17) x = 58.1 units
18) x = 17 units
Step-by-step explanation:
The concept of similar triangles will be applied.
It is evident that the AAA congruence property is responsible for the similarity of the two triangles in the 2 cases. The theorem is
- Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other.
So, the corresponding sides from the two triangles can be written as a ratio of one another
17)
The most obvious tell here is the largest angle in the two triangles, the sides directly opposite this angle in the two triangles can be written in a ratio such that
(95.2/13.6) = 7
indicating that the bigger triangle is exactly 7 times the smaller one.
So,
(95.2/13.6) = (53.2/7.6) = (x/8.3) = 7
x = 7 × 8.3 = 58.1
18)
The obvious tell here is the smallest common angle for the two triangles, the two other corresponding sides can then be written in a ratio, matching the bigger side in the two triangles to each other.
(39.5/7.9) = (37.5/7.5) = (x/3.4)
(x/3.4) = 5 (Indicating thay the bigger triangle is 5 times bigger than the smaller one.
x = 3.4 × 5 = 17 units.
Hope this Helps!!!
Answer:
The answer is B.
Step-by-step explanation:
Learn it yourself kid.
Answer: 12.5 weeks
Step-by-step explanation: It will take Deena 12.5 weeks to save up $175 for a trip to an amusement park.
175 ÷ 14 = 12.5 weeks
***If you found my answer helpful, please give me the brainliest. :) ***
Answer:
9
Step-by-step explanation:
x = first number
3x = second number
2x = third number
27 = x + 3x+ 2x
27 = 6x
x=4.5 (first number)
3(4.5) = 13.5 (second number)
2(4.5) = 9 (third number)
(4.5 + 13.5 + 9) /3 = 9
Wow after doing all that I realized that all you had to do was 27/3 since there's 3 numbers.