Given:
The figure of two quadrilaterals.
In
In
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:
Similarly,
And,
Clearly, .
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.
sinx-✓(1-3sin2x)=0
-✓(1-3sin2x)=-sinx
apply squared both sides
(-✓(1-3sin2x)^2=(-sinx)^2
1-3sin2x=sin2x
collect like terms
-3sin2x-sin2x+1=0
-4sin2x+1=0
-4sin2x=-1
devide both sides by -4
sin2x=-1/-4
sin2x=0.25
sinx*sinx =0.25
[sinx]^2 = 0.25
apply square root both sides
<h2>✓(sinx)2 = ✓0.25</h2>
<h2>sinx=0.5</h2><h2> </h2><h2>x=sin^-(0.5)</h2>
<h2>x=30°</h2>
<h3>check quadrant where sin is positive, sin is +ve in second quandrant</h3>
180-x= Theta(X)
180-30=X
X=150°
therefore, all angles for sinx -✓(1-3sin2x)=0 are (X= 30° and 150°)
The answer to this question is b
Answer:
Figure A
Step-by-step explanation:
A regular polygon is a polygon that is equiangular and equilateral (all angles are equal and all sides are equal) and A is the only one that works
Step-by-step explanation:
x^3 - 5x^2 - 4x + 20 (I'm assuming this is what you meant)
(1)^3 - 5(1)^2 - 4(1) + 20 = 1 - 5 - 4 + 20 = 12
(-1)^3 - 5(-1)^2 - 4(-1) + 20 = -1 - 5 + 4 + 20 = 18
(2)^3 - 5(2)^2 - 4(2) + 20 = 8 - 20 - 8 + 20 = 0
Now I know (x-2) is a factor of the polynomial.
Synthetic division
2 | 1. -5. -4. 20
| 2. -6. -20
-----------------------------
1. -3. -10. 0
x^2 -3x -10
Factor -> (x-5)(x+2)
So the factors of the original polynomial are (x-5), (x+2), and (x-2)
f(x) = 0 when x = -2,2,or 5