Answer with explanation:
---------------------[Given]
-----------------[By definition of congruent segments]---(2)
Also, AB= AE + EB
CD= CF +FD
Substituting the value of , AB and CD in equation (2),which reduces to
A E + E B=CF +FD
Also,
CF=E B--------[By definition of congruent segments]
A E + E B=FD +E B→→[Substitution Property]
Subtracting EB , from both sides
AE +EB - EB = FD + EB - EB
Which gives, A E = F D→→→→[Subtraction Property of Equality]
→→→The Missing reason in the proof is :
Option(D.): Subtraction Property of Equality
Answer:
7a) y =
b) this equation means that for every 5 minutes the tram is an additional 1,273 feet above base
c) the first quadrant has 'x' and 'y' values that are positive and only positive values can be used to represent elevation above base and time
Step-by-step explanation:
The biggest remainder obtained by dividing 2015 by either 1, 2, 3,
4,...,1000 is the option;
(C) 671
<h3>How can the biggest remainder be found?</h3>The given number Maria divides is 2015
The divisors = 1, 2, 3, 4,..., 1000
Required:
The biggest remainder Maria noted down.
Solution:
From remainder theorem, we have;
p(x) = (x - a) × q·(x) + r(x)
Where;
r(x) = The remainder
q(x) = The quotient
(x - a) = The devisor
Which gives;
Therefore;
The remainder is largest when both and (x - a) are large
is largest when the quotient changes to the next lower
digit and the divisor is not a factor.
By using MS Excel, we have, at 672, the remainder is found as follows;
At 672, ≈ 0.999, which when multiplied by 672, gives
the biggest remainder of 671, which is the biggest remainder.
Learn more about the remainder theorem here: