Answer:
Answer: <u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u><u> </u>
Step-by-step explanation:
• Let's first find Angle ACB
![{ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\ \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\ \\ { \underline{ \rm{ \: \angle ACB = 67 \degree}}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B%20%5Cangle%20ACB%20%2B%2023%20%5Cdegree%20%2B%2090%20%5Cdegree%20%3D%20180%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B%20%5Cangle%20ACB%20%3D%20%28180%20-%2090%20-%2023%29%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cunderline%7B%20%5Crm%7B%20%5C%3A%20%20%5Cangle%20ACB%20%3D%2067%20%5Cdegree%7D%7D%7D)
• From alternative angles, x = Angle BAC.
• Since AB = AC, then Angle ABC = Angle ACB
![{ \rm{x + \angle ABC + \angle ACB = 180 \degree}} \\ \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\ \\ { \rm{x + 134 \degree = 180 \degree}} \\ \\ { \boxed{ \rm{x = 46 \degree}}}](https://tex.z-dn.net/?f=%7B%20%5Crm%7Bx%20%2B%20%20%5Cangle%20ABC%20%2B%20%20%5Cangle%20ACB%20%3D%20180%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bx%20%2B%2067%20%5Cdegree%20%2B%2067%20%5Cdegree%20%3D%20180%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bx%20%2B%20134%20%5Cdegree%20%3D%20180%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Crm%7Bx%20%3D%2046%20%5Cdegree%7D%7D%7D)
Inverse Variation is shown through the formula y=k/x
plug in the given values and solve for k: 3=k/5 so k=15
Answer: y=15/x
Pretzels:2×200=400 200×1/2=100 100+400=500cups
Dry Cereal: 4×200=800 200×1/2=100 800+100=900cups
Peanuts:2×200=400 200×1/4=50 400+50=450cups
Raisins:200×3/4=150cups
Answer:
38
Step-by-step explanation: