When going through York Canal, his speed is 1 mile per 3 minutes.
If going by this speed while crossing Stover Lake, he would drive 10 miles in 30 minutes.
Therefore, he drove 10 miles.
<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49
Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =
<span>a = 24 mi, Juan's distance from home
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The values of angles are 140 and 20
• In plane geometry, a figure which is formed by joining of two lines that share a common point is called as the angle. The two lines or rays are called as the sides of the angle and the common point is called the vertex.
• In geometry there are types of angles such as complementary angles, supplementary angles, acute angle, obtuse angles. Complementary angles are the angles whose sum is equal to 90. Supplementary angles are the angles whose sum is equal to 180.
According to the question
We are given that one angle is -7x and the other angle is -2x
Using formula of supplementary angles
-7x + (-2x) = 180
-7x -2x = 180
-9x = 180
-x = 20
x = -20
The value of x is -20
The value of angle – 7x = -7(-20) = 140
The value of angle -2x = -2(-20) = 40
Learn more about angles here
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The function 
is incresing and have positive values for all x. Then the function 
is also increasing and have positive values for all x. This means that options B (values are negative) and D (function is decreasing) are incorrect.
At x=0, 
.
In option A graph of the function passes through point (0,y), where y is near 3. In option C graph of the function passes through point (0,y), where y is near 1/5. So, you can conclude that the option C is correct.
47-18=29 people interested in the new drink
29/47=0.617
0.617*100=61.7% chance
Hope this helps
