Answer:
x = 180 - [(180 - 3x) + (180 - 2x)]
Step-by-step explanation:
Start off by finding the angles of the triangle
Angle F = 180 - 3x
The angle across from I (which I will call I) = 180 - 2x
Angle G = 180 - (F + I)
Now that we know what G is, we know what x is because the Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent. So pretty much X = G
Therefore x = 180 - (F + I) or otherwise said as:
x = 180 - [(180 - 3x) + (180 - 2x)]
I hope this is helpful :)
3.33%
Step-by-step explanation:
40.33-37=3.33
3.33/100=0.0333
0.0333 as a percent is 3.33
Answer:
<h3>0 and undefined. </h3>
Step-by-step explanation:
<h3><u>SLOPE FORMULA:</u></h3>
y₂-y₁/x₂-x₁=rise/run
<h3><u>SOLUTIONS:</u></h3>
y₂=(-7)
y₁=(-7)
x₂=2
x₁=(-6)
Solve.
The slope is 0 and undefined, which is our answer.
Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.
Answer:
2
Step-by-step explanation:
the rate of change is measured as
in the closed interval [ a, b ]
here [a, b ] = [- 4, 1 ]
f(b) = f(1) = 2 + 4 = 6
f(a) = f(- 4) = - 8 + 4 = - 4
average rate of change = 
= 
= 2
