Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
C .The initial amount of money placed in the savings account
Step-by-step explanation:
f(x) = 3,267(1 + 0.02)^x
This is in the form
y = a b^x
where a is the initial amount
b is the growth rate
x is the time
3267 is the initial amount
1.02 is the growth rate, so it grows by .02 or 2 percent
and x is the time
Answer:
28 minutes
Step-by-step explanation:
Dans computer reads 68% of battery left after 1 hour. This means that 1 hour is 68% of the computer's entire battery life.
Let the entire battery life be x (in hours). Hence:
Therefore:
=> x = 1.47 hrs = 1 hr 28 minutes
Hence, the entire battery life is 1 hr 28 minutes.
If 1 hour has elapsed, the remaining time left for his battery to provide power will therefore be:
1 hr 28 minutes - 1 hr = 28 minutes
His battery will provide power for 28 more minutes.
Answer:
Translation 2 units downward
Step-by-step explanation:
If we start with the graph of f(x) = 3x + 8 and translate it 2 units downward, we'll end up with the graph of g(x) = 3x + 6. Note: 8 - 2 = 6.
Answer:
315 miles
Step-by-step explanation:
90 times 3 plus 45
