Answer:
Step-by-step explanation:
let width=x
length=3x
area=3x×x=3x²
3x²=192
x²=192/3=64
x=√64=8
width=8 m
length=3×8=24 m
Answer:
x < 7
Step-by-step explanation:
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
<h3>How to determine
Allie's error </h3>
The statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
- Angles J and X have equal measures of 55 degrees
- The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL
The above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
brainly.com/question/14285697
The shapes are being used instead of variables.
For problem 4; start with clue 2, then clue 3, then clue 4, and lastly do clue 4.
<u>Clue 2</u>
3 · square - 8 = 19
3 · square = 27 <em>added 8 to both sides</em>
square = 9 <em>divided both sides by 3</em>
<u>Clue 3</u>
2 · triangle + 3 = -3
2 · triangle = -6 <em>subtracted 3 from both sides</em>
triangle = -3 <em>divided both sides by 2</em>
<u>Clue 4</u>
square + triangle = 6
(9) + (-3) = 6 <em>substituted solutions from Clue 2 and Clue 3</em>
6 = 6 <em>True statement confirms that Clues 2 & 3 are correct</em>
<u>Clue 1</u>
star + square = 12
star + (9) = 12 <em>substituted solution from Clue 2 </em>
star = 3 <em>subtracted 9 from both sides</em>
Answer: triangle = -3, star = 3, square = 9
For problem 5; do the same thing as problem 4 and start with Clue 2
Answers: triangle = -2, star = 10, square = 8