I think the answer might be 72
<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: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-

The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,

Hence, the constant of variation k for the direct variation is -0.5.
Answer:
GH = 9
Step-by-step explanation:
FH=FG+GH
21= 12+GH
GH = 21-12 =9
I hope I helped you^_^