<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:
x=5.5
Step-by-step explanation:
LN and KM intersect and are in the same rectangle, which makes them the same line essentially. Set 49 equal to 6x+16 and then solve to get x by itself.
Answer:
The value of this expression is -35.
Step-by-step explanation:
Let's use the order of operations (PEMDAS), to solve this problem.
In conclusion, the value of this expression is -35. Hope this helped :D
