Answer:
Miles: 35; Gallons: 1
Step-by-step explanation:
The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...
420/12 = m/1
35 = m
(miles, gallons) = (35, 1) . . . a suitable choice for the table values
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<em>Additional comment</em>
If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...
420/12 = m/10 ⇒ m = 350
Then, your entry would be ...
(miles, gallons) = (350, 10)
Answer:
(3,22.50)
(6, 33)
Rise/Run using two points
33-22.50/ 6-3
10.5/3
<u>Rate = 3.5</u>
Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
Answer:
No
Step-by-step explanation:
As the hypotenuse is not equal to base and perpendicular.
You can find the slope of a line by having two points. In this case we have 5 different point so we pick two.
so for the first one I will pick (2,17) and (7,37)
we use (y2-y1) / (x2-x1) this is rise over run
plug and chug to get slope.
(37-17)/(7-2)= 4
now use point slope using one of the point that we used to find the slope
y−b=m(x−a<span>) or y-y1 = m (x-x1)
plug and chug again
m=4 ............ point (2,17)
y- 17 = 4 (x- 2)
y= 4x +10
hope this helps
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