Answer:
6.1
Step-by-step explanation:
Taking cos function,
Cos C=BC/AC
Cos 35°=5/a
a=5/cos 35°
a=6.1
B.
if it's is a right angle triangle, two of the x-coordinate of the points must be the same however with the points given, we can tell that the x coordinates are different , the two points are not vertical hence it does not form a right angle triangle.
100% of the rolls would be less than 13. The highest number on one die is 6, so even if you roll 2 dice the sum of both dice will always be lower than 13.
It's a 1:1 probablility.
<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:
B
Step-by-step explanation:
Using the expansion
tan(x - y) =
, then
tan(x -
)
= 
note that tan( -
) = - tan(
) = - 
= 
=
→ B