Answer:
<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>
Step-by-step explanation:
To solve this problem we have to find the slope of each case. The definition of a slope is:
Where 
is the first point, and 
is the second point.
Let's find each slope.
<h3>Sam.</h3>
Let's use the points 
and 
Applying the definition of the slope, we have:
This relation means that Sam cycled 10 miles per hour.
<h3>Bobby.</h3>
Let's use the points 
and 
Bobby cycled 9 miles per hour.
Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.
Answer: 114°
Step-by-step explanation:
<h2>Concept: </h2>
Here, we need to know the idea of the "Exterior Angle theorem".
<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.
If you are still confused, then refer to the attachment below for a graphical explanation.
<h2>Solve:</h2>
Given
24 + (2x + 18) = 3x + 6
Put like terms together
24 + 18 + 2x = 3x + 6
Combine like terms
42 + 2x = 3x + 6
Subtract 6 on both sides
42 + 2x - 6 = 3x + 6 - 6
36 + 2x = 3x
Subtract 2x on both sides
36 + 2x - 2x = 3x - 2x
x = 36
Exterior angle = 3x + 6 = 3(36) + 6 = 114°
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
y-7=4(x-2)
we need to simplify the y to het a
y-7=4x-8 (i did 4x-8 because of 4(x-2)
now y= 4x-8+(-7)
after calculating -8+(-7) IT becomes
y=4x-15
okay we have the guide Line
y=4x-15
the a is 4
because
a = {y=a.x+b}
now we need to find the points using this guide Line
y=4x-15
x= 2(you can add any number here ,we Just need to know where the point is )
y= 4(2)-15
y=8-15
y= -7
points are (2,7)
-5x - y < 3.....add y to both sides
-5x < y + 3...subtract 3 from both sides
-5x - 3 < y.....or y > -5x - 3
If you do x- number of water cups 1 over 8 will equal 32 over x ,x=256 so 256
if this makes any sense if not ill try better to explain
