Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
20° is the answer if you look on the other side
Answer:
seventh interior angle=∠x=29°
Step-by-step explanation:
sum of interior angle of polygon is equal to 360°
let seventh angle of heptagon is x
∠x+47°+55°+62°+64°+54°+49°=360°
∠x=360°-(47°+55°+62°+64°+54°+49°)
∠x=360°-331°=29°
∠x=29°
seventh interior angle=∠x=29° answer
Answer:
15.7 cm
Step-by-step explanation:
Angle AD = 180°- 66.4°= 113.6° (considering 2x90°=180° on opposite side)
P= 2*3.14*7.9=49.6 cm
Arc AD= 49.6*113.6°/360°= 15.7 cm
IN Δ MLN:
∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1
IN Δ FGH:
∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3
∴ ONLY ∠N = ∠F = 98.6
There is no other <span>congruent </span>angles
So, The correct statement is :
Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.