<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
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Answer:
The total he would have to pay back would be $7,320.44
Step-by-step explanation:
(I'm assuming you want the total amount he needs to pay back)
6700 x 0.10 = 670 per year
670 ÷ 365 = 1.835616438356164
1.835616438356164 × 338 = 620.44
620.44 + 6700 = 7,320.44
Answer:
C. 500 ft
Step-by-step explanation:
If we want to make it all equal, we can divide the 2,000 ft by 4 because we have 4 equal descents.
2000 ÷ 4 = 500
He should travel <u>500 feet</u> in each descent.
Answer:
Yearly compounding: 7.75% $5,686.85
Quarterly compounding: 7.978% $5,857.78
Monthly compounding: 8.031% $5,898.27
Daily compounding: 8.057% $5,918.20
Step-by-step explanation:
multiply yearly by 14