Answer:
p=4.1
Step-by-step explanation:
Answer:
A rotation, then a dilation
Step-by-step explanation:
When two triangles are congruent, the three sides and angles will be the same.
A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.
Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.
so the ODE is indeed exact and there is a solution of the form 
. We have
With 
, we have
so
Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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