Answer:
1) 45 degrees
2) 75 degrees
3) 37 degrees
4) 43 degrees
5) 137 degrees
Step-by-step explanation:
1) Angle 1 is equal to the 45 degree angle above it, so we know it is 45 degrees
2) All triangles are 180 degrees. Angle 2 = 180 - 60 - Angle 1 = 180 - 60 - 45 = 75
3) These three angles = 180 degrees. 180 - 68 - Angle 2 = 180 - 68 - 75 = 37
4) All triangles are 180 degrees. 180 - 100 - Angle 3 = 180 - 100 - 37 = 43
5) 180 - Angle 4 = 180 - 43 = 137
Answer: x= -2 y= -4
substitute the given values of x into the equation 3x+3y=-18
y substitute the given value of y into the equation x=2y
since all the equalities are true the ordered pair is the solution of the system
75/4=25 pages per hour, so, now we have to divide 250 by 25.
250/25=10
So, it would take Joan 10 hours to read 250 pages. :)
982! Hope I helped you out.
Answer:
(a) The y-intercepts of both functions are the same, 0. However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.
(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.
Step-by-step explanation:
The functions represented in the question are linear, which means that they have a consistent rate of change over time. In this example, it means that for every day, the late fee charged by each library is the same. At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25. At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35. So, the city library is more expensive. Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time. In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.
