Answer:
C. m∠1 = m∠4
Step-by-step explanation:
A. m∠2 + m∠4 = 180°
∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.
Hence, it's a <u>false</u> statement.
B. m∠2 + m∠3 = 180°
∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.
It's a <u>false</u> statement.
C. m∠1 = m∠4
∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.
Therefore, it's a <u>true</u> statement.
D. m∠1 = 90°
As clearly visible in the diagram;
It's a <u>false</u> statement.
Answer:
5,477.63
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 6%/100
r = 0.06 per year,
Then, solve our equation for P
P = A / (1 + r/n)nt
P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)
P = 5,500.00 / (1 + 0.015)(0.273792)
P = $ 5,477.63
Summary:
The principal investment required to get
a total amount of $ 5,500.00
from compound interest at a rate of 6% per year
compounded 4 times per year
over 0.068448 years
is $ 5,477.63.
** i got this from calculator soup
Answer:

Step-by-step explanation:
The given polynomial function is

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.
The potential rational roots are




The complete question in the attached figure
we know that
triangle OBR is a right triangle
so
<span>applying the Pythagorean theorem
</span>OB²=OR²+RB²----> OB²=3²+4²-----> 25
OB=√25-----> OB=5 units
the answer is OB=5 units