sometimes
the description is describing SSA, which is NOT a type of congruence.
since the congruent angle is non-included (which means it is not in between the two congruent sides), we can't say for sure if the triangles are congruent.
this is because the third side of the triangle is unknown, and that side might not be congruent to the same side in the other triangle.
i hope this helps!
Answer:
Step-by-step explanation:
Answer:
Area = 12 square units
Step-by-step explanation:
Area of Rectangle = Length*Width
Where Length = 3 units, Width = 4 units
Area = 3*4
Area = 12 square units
Answer:
1/24
Step-by-step explanation:
5/12 - 3/8=?
The first step is to find a denominator (bottom number) that is the same for both fractions. In this case, 24 works.
10/24 - 9/24 = ?
1/24
<span>3-2(Cosx)^2 - 3Sinx = 0.
Recall (Sinx)^2 + (Cosx)^2 = 1.
Therefore (Cosx)^2 = 1 - (Sinx)^2
Substitute this into the question above.
</span><span>3-2(Cosx)^2 - 3Sinx = 0
3 - 2(1 - (Sinx)^2) - 3Sinx = 0 Expand
3 - 2 + 2(Sinx)^2 - </span><span><span>3Sinx = 0</span>
1 + 2(</span><span>Sinx)^2 - 3Sinx = 0 Rearrange
2(Sinx)^2 </span><span><span>- 3Sinx + </span>1 = 0
Let p = Sinx
2p^2 - 3p + 1 = 0 Factorise the quadratic expression
2p^2 - p - 2p +1 = 0
p(2p -1) - 1(2p -1) = 0
(2p-1)(p -1) = 0
Therefore 2p-1=0 or (p-1) = 0
2p=0+1 or (p-1) = 0
2p=1 or p = 0 +1.
p=1/2 or p = 1 Recall p = Sinx
Therefore Sinx = 1/2 or 1.
For 0<u><</u>x<u><</u>360
Sinx =1/2, x = Sin inverse (1/2) , x = 30,
(180-30)- 2nd Quadrant = 150 deg
Sinx = 1, x = Sin inverse (1) , x = 90
Therefore x = 30,90 & 150 degrees.
Cheers.</span>
