9514 1404 393
Answer:
4/25
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
<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 />
Answer:
6
Step-by-step explanation:
Multiply both sides of the equation by 2
3x-4=14
Add 4
3x=18
Divide by 3
x=6
Good luck! Let me know if you need more help.
17/2, 8 and 1/2 or 8.5 are all the correct answers.
Answer:
Peanutbutter 44%
Chocolate chip 22%
Step-by-step explanation: