AB = 14
m∠F = 39°
Well the explanation here is simple.
Since the given states that the two triangles, ΔABC and ΔDEF, are congruent, they must have congruent/corresponding parts.
So AB is the same as DE which measures 14, so therefore AB must measure 14.
The same explanation goes to m∠F, ∠C is congruent to ∠F so it must measure 39° too.
Answer:
c. 8 units
Step-by-step explanation:
You are to find the y-intercepts of the two functions given, then report the difference between them. The y-intercept is the y-value when x=0.
For f(x), we have ...
f(0) = 3·2^0 = 3·1 = 3
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For the table, we can see that x=0 is halfway between x=-2 and x=2, so the y-intercept can be expected to be halfway between y=3 and y=-13. That value for y is ...
g(0) = (3 + (-13))/2 = -10/2 = -5
That is, the y-intercept of g(x) is -5.
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The difference between f(0) and g(0) is ...
f(0) -g(0) = 3 -(-5) = 8 . . . . units
The answer is <span>8,686,308,783.</span>
To calculate this, we will use the equation for exponential function:

y - the future population
x - the current population
r - the rate of increasing the population
n - the number of years
It is given:
x = 6,486,915,022
r = 1.4% = 0.014
n = 2026 - 2005 = 21
Therefore:
Answer:
Step-by-step explanation:

16r^2+ 2r -4r
16r^2 - 2r
2r ( 8r -1)