Answer:
In a study to determine whether how long a student sleeps affects test scores, the independent variable is the length of time spent sleeping while the dependent variable is the test score. You want to compare brands of paper towels, to see which holds the most liquid.
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Answer:
vertical angles, x=5 The angles each measure 35 degrees
Step-by-step explanation:
These are vertical angles, so they are equal
3x+20 = 10x-15
Subtract 3x from each side
3x+20-3x = 10x-13-3x
20 = 7x-15
Add 15 to each side
20+15 = 3x-15+15
35=7x
Divide by 7
35/7 = 7x/7
5 =x
The angles are equal so they each measure
3x+20 = 3(5)+20 = 15+20 = 35
The each measure 35
2/3x-1=9
+1 +1
2/3x=10
x=10 x 3/2
x=15
Answer:
-3
Step-by-step explanation:
Given the points, we can see that as x increases by 4, y decreases by 4, which means the slope is -1. Working backwards from (5, -8), we can decrease x by 5 (and thus increase y by 5, since we're subtracting a negative) and add that to -8 to find the y-intercept = -3
Answer:
x = 8/3
Step-by-step explanation:
Solve for x:
6 x + 8 (5 - 7) = 0
5 - 7 = -2:
6 x + -2 8 = 0
8 (-2) = -16:
6 x + -16 = 0
Add 16 to both sides:
6 x + (16 - 16) = 16
16 - 16 = 0:
6 x = 16
Divide both sides of 6 x = 16 by 6:
(6 x)/6 = 16/6
6/6 = 1:
x = 16/6
The gcd of 16 and 6 is 2, so 16/6 = (2×8)/(2×3) = 2/2×8/3 = 8/3:
Answer: x = 8/3