Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
= 
, substitute values
= 
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
The population of a town has approximately doubled every 17 years since 1950.
the equation P=
where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.
When t=17 yrs
P=2
for 1 year
The equation becomes
P = 
-------------(1)
Our original equation is
----------------------------------(2)
equating expression 1 and 2
Cancelling 
from both sides we get
t/17=k
⇒k=t/17 is the solution.
Answer:
B. All real numbers
Step-by-step explanation:
2(x + 1) = 2x + 2
Distribute the 2 inside the parenthesis.
2x + 2 = 2x + 2
Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.
Example:
2(x + 1) = 2x + 2
2(5 + 1) = 2(5) + 2
2(6) = 10 + 2
12 = 12
2(x + 1) = 2x + 2
2(150 + 1) = 2(150) + 2
2(151) = 300 + 2
302 = 302
The expression is equal for any value put in x.
The answer is 45.4545454545
The answer is D, none of these
