Answer:- B) No; they do not have congruent corresponding angles.
Explanation:-
In ΔGHI ,
∠G=46° and ∠I=27°
By angle sum property,
∠G+∠H+∠I=180°
⇒∠I=180°-∠G-∠H
⇒∠I=180°-46°-27°= 107°
In Δ JKL
∠K=108°and ∠L=27°
By angle sum property of triangles,
∠J+∠K+∠L=180°
⇒∠J=180°-∠L-∠K
⇒∠J=180°-27°-108°
⇒∠J=45°
Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.
⇒ They do not follow AA similarity criteria.
Thus ,the given triangles are not similar because they do not have congruent corresponding angles.
Each of the answers given at the right talks about the fourth month. So let's compare each of the fourth month's profits.
When the month t = 4 in Company B, the company made 10 hundred (or 1000) dollars in profits.
When the month t = 4 in Company A, we evaluate the function at t = 4. To do that we put t = 4 into the function.
P(4) = 1.8(1.4)⁴
P(4) = 6.91488
Thus the company made 691.488 dollars of profit. So during the 4th month, Company B made more than A.
Each of the answers also talks about year end profits, which would be after 12 months. The function for company B is linear whereas it is exponential for A. An exponential function will grow faster in A and have higher maximum values. We can conclude that year end profits for A will be higher.
We put the statements together - that B makes in the 4th month but at year's end A will make more.
Thus, the third box is the best answer.
Answer:
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Step-by-step explanation:
Answer:
2028 ft
Step-by-step explanation:
Let the feets of boards sold to get profit be x hence with the price of $1.13 which is inclusive of profit, the total sales will be 1.13 x
The cost per day will equally be the sum of variable cost which considers the feets of boards and the daily fixed charge. Considering the variable of $0.03 and fixed charge of $2230.80 then the equation is represented as 0.03x+2230.80
Relating the two equations then
1.13x=0.03x+2230.80 and rearranging like terms
1.13x-0.03x=2230.80
1.1x=2230.8
X=2230.8/1.1=2,028 ft
Therefore, to maximize daily profit, 2028 ft must be sold
Answer:
See attachment
Step-by-step explanation:
The given matrix equation is:
To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:
This simplifies to;
By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.
