<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>
<em />
An epic hero must be most couragous than an actual oerson because that is what makes them brave and it gives them the ablitiy to fight
Answer: x=45
STEPS:
1
Add the same term to both sides of the equation
2
Simplify
3
Multiply all terms by the same value to eliminate fraction denominators
4
Simplify
Answer:
D
Step-by-step explanation:
because the line has to run through the origin, so that is non-proportional.
hope this helps!
