Part a: The triangles ∆ABC and ∆EDC are similar by AA similarity rule.
Part b: The width of AB is 67.5 feet
Explanation:
Part a: We need to prove that the two triangles ABC and EDC are similar.
To prove the triangles are similar, then their angles must be similar.
Thus, we have,
∠DCE and ∠BCA are similar (vertical angles)
∠CDE and ∠CBA are similar (right angles)
∠B and ∠A are similar
Hence, the triangles ∆ABC and ∆EDC are similar by AA similarity rule.
Part b: We need to determine the width of AB
Since, the triangles are similar, then their corresponding lengths are proportional.
Thus, we have,

where
,
and 
Substituting these values, we get,

Multiplying both sides by 90, we get,


Dividing, we have,

Thus, the width of the river AB = 67.5 feet
The perimeter is all sides length added together. You can make an equation:5+5+x+x where x is the length.
5+5=10 18-10=8 There is two sides so you do eight divided by two
The length is 4
Answer: 4 * 8 = -32y
4 * 5 = -20
Step-by-step explanation:
Answer:
A. The relationship is proportional.
C. The slope is negative.
✓ A. The relationship is proportional.
-> We have a one to one proportion because the relationship is linear
✗ B. The slope is –6.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✓ C. The slope is negative.
-> Because the line is going from top left to bottom right the line is negative
✗ D. The y-intercept is –3.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✗ E. The equation of the line is y = –3x.
-> Again, the slope should be -3/2, not -3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
<span>NCn is always equal to 1. </span>