Answer:
AB = 21
Step-by-step explanation:
So we have two triangles (AEB and ADC), and they're similar by AA
Now, you can find the ratio of similitude by checking AE/AD which is 14/26 = 7/13
AB/AC = 7/13
Take AB as x aight
x/x+18 = 7/13
x=21
We have from Thales theorem that because the 2 triangles are similar, JM/JK=JN/JL. We have that JN=x, JL=x+24 and that JM=7 and JK=28. Substituting, we get:
x/(x+24)=7/28.
Hence, x/(x+24)=1/4. This leads to 4x=x+24, 3x=24, x=8. We have solved for x=JN and this is equal to 8.
Answer: you already gave the answer. To check it submit
factor 3x^4y^3 − 15x^2y^2 + 6xy
to Wolfram Alpha.
3xy(x^3y^2 − 5xy + 2) is the "irreducible factorization".
Total amount = 1 x 10 + 3 x 5 = $25
Amount spent = $9.30 + $4.20 = $13.50
Amount left = $25 - $13.50 = $11.50
Answer: $11.50