Answer:
Option 2
Step-by-step explanation:
Measurement of angles doesn't change after shapes are translated, this is one of the properties of translated angles.
Celia bought a bag of 12 goldfish for $3, Cost of 1 goldfish is $0.25 .
<u>Step-by-step explanation:</u>
The goldfish is a freshwater fish in the family Cyprinidae of order Cypriniformes. It is one of the most commonly kept aquarium fish. A relatively small member of the carp family, the goldfish is native to East Asia.
Here we have , Celia bought a bag of 12 goldfish for $3 . We need to find the cost of 1 goldfish . Let's find out:
Celia have a bag of 12 goldfish which cost her $3 . So , cost of 1 goldfish is equivalent to
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, Celia bought a bag of 12 goldfish for $3 , Cost of 1 goldfish is $0.25 .
I'm not sure what your book is saying about the matter but a cell phone is not usually an essential expense. If it is saying it is though, it would be an essential flexible expense.
Answer:
Graph A
Step-by-step explanation:
Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.
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The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,
24 + 4c < 128 - Subtract 24 from either side,
4c < 104 - Divide by 4 on either side, isolating c,
c < 26
The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.
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The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.
we know that
If line b is perpendicular to line a, and line c is perpendicular to line a,
then
line b and line c are parallel
and two lines parallel have the same slope
so
<u>Find the slope of the line b</u>
Let

The formula to calculate the slope between two points is equal to


substitute



therefore
<u>the answer is</u>
<u>the slope of the line c is</u>
