Answer:
1) They are similar
2) 45 ft
Step-by-step explanation:
1) similar because both triangles have congruent interior angles
2) 75/35 = AB/21
AB = 45 ft
Answer:
![\sf 2\dfrac{1}{4}\ cups \ of \ sugar](https://tex.z-dn.net/?f=%5Csf%20%202%5Cdfrac%7B1%7D%7B4%7D%5C%20cups%20%5C%20of%20%5C%20sugar)
Explanation:
Let the full batch be x
Here given:
3/4 cup of sugar required to make 1/3 batch of cookies
Build equation:
![\sf \rightarrow \dfrac{1}{3}x = \dfrac{3}{4} \ cup \ of \ sugar](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20%5Cdfrac%7B1%7D%7B3%7Dx%20%20%3D%20%5Cdfrac%7B3%7D%7B4%7D%20%5C%20cup%20%5C%20of%20%5C%20sugar)
Solve:
![\sf \rightarrow x = \dfrac{3(3)}{1(4)}](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20x%20%20%3D%20%5Cdfrac%7B3%283%29%7D%7B1%284%29%7D)
![\sf \rightarrow x = \dfrac{9}{4}](https://tex.z-dn.net/?f=%5Csf%20%5Crightarrow%20x%20%20%3D%20%5Cdfrac%7B9%7D%7B4%7D)
![\rightarrow \sf x = 2\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%20x%20%3D%202%5Cdfrac%7B1%7D%7B4%7D)
1, ___, ____, _____, _____, _____, ____, 29
29-1 = 28
28/7 = 4
1, 5, 9, 13, 17, 21, 25, 29
Answer: 180
Step-by-step explanation: 30 x 6= 180