Answer:
x=9
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
----> by intersecting chords theorem
substitute the given values

solve for x

Answer: 112 km
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Work Shown:
(5 miles)/(8 km) = (70 miles)/(x km)
5/8 = 70/x
5*x = 8*70 ... cross multiply
5x = 560
x = 560/5 .... divide both sides by 5
x = 112
According to the given estimation, 70 miles converts to 112 km.
The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.
Refer to this previous solution set
brainly.com/question/26114608
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Problem 4
Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.
This leads to the factors x and x-20 and the equation 
We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.
Let's solve for 'a'.

This then leads us to:

The equation is in the form
with 
The graph is below in blue.
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Problem 5
The same set up applies as before.
This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation 
We'll use the vertex point (50,12) to find 'a'.

Then we can find the standard form

The graph is below in red.
Answer:
Step-by-step explanation:
Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.