Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
Answer:
480 feet.
Step-by-step explanation:
We are told that the function 
models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,
Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.
Answer/Step-by-step explanation:
Museum and Worship center => alternate exterior angles (E)
Rationale: they are exterior angles positioned in opposite sides of the transversal
Bank and Day Care => Alternate Interior Angles (A)
Rationale: they are interior angles positioned opposite each other on each side of the transversal
Park and Coffee shop => vertical angles (D)
Rationale: They are angle pairs formed by the interception of two straight lines
Fire Station and Worship Center => linear pair (F)
Rationale: They are angles on a straight line
Community Center and Day Care => consecutive interior angles (B)
They are interior angles that lie in the same side of the transversal
Bank and Museum => Corresponding Angles (C)
Rationale: they have the same matching corners
Answer:
5 times shorter
Step-by-step explanation:
The period is the time it takes for one cycle to complete, or in this case, one breath. Since person A is breathing 5 times faster, the time per breath is 5 times shorter.
The value of t in the equation will be t = P + q/b.
<h3>How to calculate the equation?</h3>
It should be noted that the equation given in this case is illustrated as:
P = t−q/b
It should be noted that we are to make t the subject of the formula. This will be:
P= t−q/b
Add q/b to both sides
P + q/b = t−q/b + q/b
Therefore, t = P + q/b
Learn more about equations on:
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