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➷ We can call the first integer 'x'
Thus, the second integer would be 'x + 1'
From this, we can form an equation:
x + x + 1 = 67
Simplify this:
2x + 1 = 67
- 1 from both sides:
2x = 66
Divide both sides by 2:
x = 33
Therefore, x + 1 = 34
The 2 integers are 33 and 34.
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$75.00-12.50≥$0
The sign should be greater than and not Greater than or equal to. I used it be that's the only available sign to help out with.
Answer: angle ITU = 145 degrees
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Explanation:
Angle STU is the largest angle composed of the smaller angles STI and ITU.
In other words, the two smaller angles add up to the larger one.
(angle STI) + (angle ITU) = angle STU
( 20 ) + ( 12x+1 ) = 13x + 9
20+12x+1 = 13x+9
12x+21 = 13x+9
21-9 = 13x-12x
12 = x
x = 12
Using this x value, we find that,
angle ITU = 12x+1 = 12(12)+1 = 145 degrees
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As a side note,
angle STU = 13x+9 = 13(12)+9 = 165 degrees
This is confirmed with
(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU
is basically calculating the rate of change of the line
(a) Water balloon 1 has height at time 
and water balloon 2 has height
Both water balloons are moving straight downward, so their distance is equal to
(b) When both water balloons are at the same height, we have 
. So you could set both quadratic expressions equal to each other and solve for . Or you can use the fact that, when they're at the same height, the distance between them is 0. So using the expression from part (a), we have
or 1.75 seconds after being thrown/dropped.
At this time, they are both at a height of 
:
feet.
(c) The second and fourth statements are true.
