Answer:
66 feet
Step-by-step explanation:
Parallelograms have 2 pair of parallel sides that are congruent to each other.
In parallelogram ABCD, we can say:
AB = DC
and
BC = AD
AB and DC are given, and they are equal. So we can say:
AB = DC
6x - 2 = 3x + 13
Now we can solve for x:
6x - 2 = 3x + 13
6x - 3x = 13 + 2
3x = 15
x = 15/3
x = 5
So,
AB = 6x - 2
AB = 6(5) - 2 = 28
So, DC = 28
We are also given AD = 5, so BC = 5 as well [since AD = BC]
Now, we know the length of all 4 sides.
The perimeter is the sum of all 4 sides. Hence,
Perimeter = 28 + 28 + 5 + 5 = 66 feet
Answer:
The correct answer is a) 16
Step-by-step explanation:
To find this first distribute the interior negative to both terms in the parenthesis.
9 - {x - (7 + x)}
9 - {x - 7 - x}
Now simplify the like terms.
9 - {-7}
Now distribute the negative once again.
9 + 7
And complete the indicated operation.
16
Answer:
y = 40x + 30
Step-by-step explanation:
The equation for a linear function is given by:
y = mx + b;
where y and x are variables, m is the slope or rate of change of the function and b is the initial value of y at x = 0 (that is y intercept).
Let y represent the total cost and x represent the number of hours worked.
The electrician charges 110 after 2 hours of work and 190 for 4 hours of work.
Representing in coordinate form as (x, y) we get:
(2, 110) and (4, 190)
The equation of the function can be gotten using the formula:
Therefore:
Answer:
It will take 17 years to get a population of 42,800. (Specifically 17.3)
Step-by-step explanation:
We will use the equation
y = population
x = amount of years
y = 20000(1 + 0.045)^x
20000 is the original population.
(1 + 0.045) is the increase of 4.5% every year
R=0, q=28, p=4
Hope this helps :)
