Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!
1/9 pints of milk can be added by a customer
Step-by-step explanation:
We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee
Given
Total Capacity of a cup = 7/9 pints
Coffee to be added in a cup = 2/3 pints
So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.
So,
Hence,
1/9 pints of milk can be added by a customer
Keywords: Fractions, addition
Answer:
¡Espero que esto ayude!
:)
Step-by-step explanation:
1) 19 grados
2) 98 grados
3) 44 grados
4) 93 grados
5) 122 grados
6) 125 grados
7) 140 grados
8) 66 grados
9) 118 grados
10) 144 grados
Answer:
Step-by-step explanation:
-32/15/-4/5
-32/15*5/-4
-32*5/15*-4
-160/-60
8/3
