In a parallelogram, opposite angles are equal and since it is a quadrilateral, the angles add up to 360°
<NKL = <LMN = X
<KLM = <KNM = 3X
So, 2(x+3x) = 360°
80x = 360°
x = 45°
The figure LFND is another quadrilateral where:
<LFN = <NDL =90°
<FND = 3x
So, (90×2)+3x+ (angle FLD) = 360°
Angle FLD = 360° - 180° - (3×45)°
= 360° - 315°
= 45°
Using trial and error
x^4+5x^2-36 factors to (x-2)(x+2)(x^2+9)
2x^2+9x-5 factors to (x+5)(2x-1)
so
(x-2)(x+2)(x^2+9)(x+5)(2x-1)=0
set each to zero
x-2=0
x=2
x+2=0
x=-2
x^2+9=0
x^2=-9
x=3√-1
x=3i
x+5=0
x=-5
2x-1=0
2x=1
x=1/2=0.5
roots are
x=-5-2,0.5,2, and the imaginary root 3i
Answer:
63
Step-by-step explanation:
So just find the area of the carpet:
9 * 7 = 63
Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find the altitude.
h^2 = 9^2 - 6.4^2
h^2 = 40.04
h = 6.328
area = base * height/2
area = (2 * 6.4) * 6.328/2
area = 40.5 square units
You would first turn it into an improper fraction, to do this you leave the denominator(bottom number) then times it by your variable and add the numerator(top number)
Ex:
1 3/4x1/3= 7/12
