The answer is x is less than 8
Answer:
16 units
Step-by-step explanation:
period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.
in this graph its the peaks are 1 and 17, hence the period is 16
The equation a = 100 + 75d represents Maria's account balance.
<u>Step-by-step explanation:</u>
Given that,
- Maria opened a new savings account with an initial deposit of $100.
- She deposits $75 into this savings account every two-weeks.
You need to find the equation to represent Maria's account balance, a after she has completed d deposits.
- Let 'd' be the number of deposits Maria made after the initial deposit.
- Let 'a' be the total account balance after 'd' deposits.
Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.
<u>To find the amount that was deposited after the initial deposit :</u>
⇒ $75 × number of times Maria deposited.
⇒ 75 × d
The equation is written as,
⇒ a = 100 + 75d
Hence the equation a = 100 + 75d represents Maria's account balance.
Answer:
Option B) 4 centimeters
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of n
we know that
a) GJ is a midsegment of triangle DEF
then
G is the midpoint segment DF and J is the midpoint segment EF
DG=GF and EJ=JF
b) HK is a midsegment of triangle GFJ
then
H is the midpoint segment GF and K is the midpoint segment JF
GH=HF and JK=KF
In this problem we have
HF=7 cm
so
GH=7 cm
GF=GH+HF ----> by addition segment postulate
GF=7+7=14 cm
Remember that
DG=GF
substitute the given values

solve for n



step 2
Find the length of GJ
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
so

we have

substitute

step 3
Find the length of HK
we have that
----> by the midpoint theorem
we have

substitute

If they only have 30.25, then they still need 39.50