The congruent complement theorem states that angles AGI and BGH are congruent. This is because there is a pair of vertical angles next to angles AGI and BGH, and we also know that AGI and its adjacent angle add up to 90, and the same goes for BGH and its adjacent angle.
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Answer:
<em> -- When going</em>
<em> -- When coming back</em>
Step-by-step explanation:
Given
![Speed\ to = 7mi/hr](https://tex.z-dn.net/?f=Speed%5C%20to%20%3D%207mi%2Fhr)
![Speed\ from = 3mi/hr](https://tex.z-dn.net/?f=Speed%5C%20from%20%3D%203mi%2Fhr)
![Distance = 2\ mi](https://tex.z-dn.net/?f=Distance%20%3D%202%5C%20mi)
Required
Determine time taken to your friend's house
Determine time taken from your friend's house
Distance is calculated as:
![Time = \frac{Distance}{Speed}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7BDistance%7D%7BSpeed%7D)
From the question, we understand that:
![Distance = 2\ mi](https://tex.z-dn.net/?f=Distance%20%3D%202%5C%20mi)
When going:
![Speed\ to = 7mi/hr](https://tex.z-dn.net/?f=Speed%5C%20to%20%3D%207mi%2Fhr)
So, we have:
![Time = \frac{2mi}{7mi/hr}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B2mi%7D%7B7mi%2Fhr%7D)
![Time = \frac{2}{7}hr](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B2%7D%7B7%7Dhr)
Express in Minutes
![Time = \frac{2}{7} * 60](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B2%7D%7B7%7D%20%2A%2060)
![Time = \frac{120}{7}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B120%7D%7B7%7D)
![Time = 17.143\ mins](https://tex.z-dn.net/?f=Time%20%3D%2017.143%5C%20mins)
When coming back:
![Speed\ from = 3mi/hr](https://tex.z-dn.net/?f=Speed%5C%20from%20%3D%203mi%2Fhr)
![Time = \frac{2mi}{3mi/hr}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B2mi%7D%7B3mi%2Fhr%7D)
![Time = \frac{2}{3}hr](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B2%7D%7B3%7Dhr)
Express in Minutes
![Time = \frac{2}{3} * 60](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%2A%2060)
![Time = \frac{120}{3}](https://tex.z-dn.net/?f=Time%20%3D%20%5Cfrac%7B120%7D%7B3%7D)
![Time = 40\ mins](https://tex.z-dn.net/?f=Time%20%3D%2040%5C%20mins)
Answer:
12.........…....….................
C they are all real numbers
Write an equation based on the problem
3.25 is fixed cost, and 1.80 is variable cost, so the equation will be
3.25 + 1.80x = 19.00
x represents the distance she can travel
Solve the equation
3.25 + 1.80x = 19.00
1.80x = 19.00 - 3.25
1.80x = 15.75
x = 15.75/1.80
x = 8.75
She can travel 8.75 miles for the taxi ride