2. Two numbers m and n have the following properties: (1) their sum is 26 and (2) n is five more than twice m. Write a system of equations that models the two properties given (write
them with the word and between them).

3. Enter your math answer
Find the values of m and n by solving the system you wrote in question 2

m + n = 26 and n = 2m + 5

m = 7, n = 19

Step-by-step explanation:

Because we know that the sum of m and n is 26, we get the first equation. For the second equation, we are told that n is five more than twice m. So we multiple m by 2 and then add 5 to that to get what n is. This is our second equation.

We plug the second equation in for n in the first equation to get

m + (2m + 5) = 26

3m + 5 = 26

3m = 21

m = 7

And then for n, we solve the first equation to get

7 + n = 26

n = 19

$12. that is my answer.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584