The first both angles measure 45 degrees
Step by step explanation:
Complementary angles are angles that add up to 90 degrees and it said they both are equal which means both of them have to be half of the 90 degrees and half of 90 is 45 so 45 degrees
Answer: 6.13
Step-by-step explanation:
From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.
The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:
= 49 minutes / 8
= 6.125 minutes per song
= 6.13 to nearest hundredths
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Answer: 1 and 2
Step-by-step explanation: 1 and 2 because if you are graphing this the formula to find the slope / the line is y = x + some number. In the formula x is how much the line goes from the x axis and the number is how much it is from the y axis. On #2 the problem is 3y = 2x + 4 so to follow the formula you need to divide both sides by 3 to get y = 2/3x + 4. For #3 you do the same thing to get y = -3/2x -5. Finally for #1 the equation is 2x + 3y = 7 so to get the slope / line you need to put x on the other side so now it is 3y = 7-2x then you divide both sides by 3 and get y = -2/3x + 7 and on 1 and 2 there x is 2/3 (the negative doesn't matter and the random number) so they are parallel.
