(13*13) + (28*28) = 953
square root = 30.8706…
31cm
<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 />
A) the only mistake is changing the mixed number to an improper fraction .
Answer:
the first one is x=3
Step-by-step explanation:
Answer:
x= -3/5
Step-by-step explanation:
4x-2y=14
y=12x-1
4x-2(12x-1)=14
4x-24x+2=14
4x-24x=12
-20x=12
×= -12/20
x= -3/5
