Answer:
Angle 1 congruent to angle 2
Transitive property
Converse corresponding angles theorem
Answer:
Package A
Step-by-step explanation:
Hello there!
The reason that package A is a better deal is beacause it goes down by a fixed rate, not by a percentage. If you get 15 carwashes, you will pay nothing for the 15th, but even if you washed your car 100 times with Package B, you would still pay something!
Have a great day!
Answer:
The amount that should be in the account after 15 years is $95,321.85
Step-by-step explanation:
According to the given data, we have the following:
monthly amount of $220=R
interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017
t=15years×12=180 months
In order to calculate how much should be in the account after 15 years, we would have to use the following formula:
Ap=<u>R(1-(1+i)∧-t)</u>
i
Ap=<u>220(1-(1+0.0017)∧-180)</u>
0.0017
Ap=<u>162,04</u>
0.0017
Ap=$95,321.85
The amount that should be in the account after 15 years is $95,321.85
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Answer:
Longest possible length for each of the shorter lengths of ribbon is 9 cm because greatest common factor for both 36 and 45 is 9.
Step-by-step explanation:
Alannah has two ribbons one length is 36cm and other is 45cm.
It asked to find shorter length of ribbons that each cut into equal pieces with out no ribbon left over.
So, let's find greatest common factor for both 36 and 45.
Let's prime factor each number
36= 2*2*3*3
45= 3*3*5
So, GCF is product of common factors for both numbers.
GCF= 3*3 =9
So, longest possible length for each of the shorter lengths of ribbon is 9 cm.
Learn more about GCF in brainly.com/question/21612147.
So we are given a system:
Substitute x = 2 we get the system:
Multiply the first equation by -5 and the second by 2 we get the system:
Adding the two equations we get :
We find the value of y by using any of the other equations like this:
Final solution:
