Each triangle has a sum of angles that equal 180° so set each angle measure = 180
(x + 66) + (x + 86) + 50 = 180; add accordingly
2x + 202 = 180; subtract 202 from both sides
2x = -22; divide both sides by 2
x = -11
Plug in -11 for x to check
(-11 + 66) + (-11 + 86) + 50 = 180
55 + 75 + 50 = 180
180 = 180 so -11 is the correct value of x
Use the quadratic formula, the second, the 6th answers are correct.
First we write the mathematical model in a generic way:
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
1 an 7/8 cups of water is the total.
The compare is hat they both have the same y-intercept, the contrast is that tone line is positive and the other line is negative
