9514 1404 393
Answer:
C. triangle MPO is congruent to triangle MNO by SAS
Step-by-step explanation:
Enough information is given in the diagram so that we know ...
ΔMNO ≅ ΔOPM
by either the SSS or SAS congruence postulates.
What makes statement C false is the fact that the vertices listed are not corresponding vertices.
_____
<em>Additional comment</em>
The wording here is of the form <em><angle 1> is congruent to <angle 2> by <some triangle congruence postulate></em>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.
Answer:
A) 
Step-by-step explanation:
in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 :
: 2
Answer:
0.714286
Step-by-step explanation:
yes
200+100+200+100=$600.
Hope this helps and please give brainliest!
Answer:
<em>It will take 14 years before the investment triples</em>
Step-by-step explanation:
<u>Continuous Compounding</u>
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:

Dividing by PV:

Taking logarithms:

Solving for t:


t = 13.7 years
Rounding up:
It will take 14 years before the investment triples