Answer:
In my opinion i would go with the first option
because I noticed that the last part of the answer said that both parts of the opposite sides are congruent and the first answer had all the requirements needed,...hope this helps~
Answer:
This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:
f(t)=ae^(kt)
thus substituting the value we get:
40=37e^(9k)
this can be written as:
(40/37)=e^(9k)
introducing the natural logs we get:
ln(40/37)=9k
hence;
k=1/9ln(40/37)=0.0087
Therefore our formual will be given by:
f(t)=37e^(0.0087t)
N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;
t=26
thus
f(t)=37e^(26*0.0087)
f(t)=46.35 million
Step-by-step explanation:
This can be displayed as a system of equations.
x = 3 + 5y
x - y = 11
Because we have a value of x we can plug it into the value of x in the second equation.
(3 + 5y) - y = 11
3 + 5y - y = 11
Combine like terms.
3 + 4y = 11
Subtract 3 from both sides.
4y = 8
Divide both sides by 4.
y = 2
Now that we have a constant value for y, we can replace the value of y in the second equation with 2 to solve for x.
x - 2 = 11
Add 2 to both sides.
x = 13
Now, let's verify.
13 = 3 + 5(2)
13 = 3 + 10
13 = 13 √ this is correct.
13 - 2 = 11
11 = 11 √ this is correct.
The first number, or x, is equal to 13.
The second number, or y, is equal to 2.
Answer:
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Step-by-step explanation:
Answer:
D. 16
Step-by-step explanation:
1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).
2. (Solving)
Step 1: Subtract 7x from both sides.
Step 2: Add 8 to both sides.
Step 3: Check if solution is correct.
Therefore, the answer is D. 16.