Answer:

Step by step
Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.
a)
, then its reference angle is 
b)
is in the second cuadrant, then its reference angle is 
c)
, then it is in the first cuadrant and the reference angle is
.
d)
and it is in the third cuadrant, then its reference angle is 
Answer:
7/12
Step-by-step explanation:
3/12=1/4
2 1/4=9/4
8/12=2/3
1 2/3=5/3
---------------
9/4-5/3=27/12-20/12=7/12
B? <span>
1 2/3 </span><span>÷ 1 1/9 = 1.5
2.34 </span><span>÷ 0.6 = 3.9</span>
No. It's the ratio of 1,289 to 100 .
Also, it can be written as a fraction with whole numbers
on top and bottom, like this: 1289 / 100 .
Also, it can be written down on paper completely, using
digits and a decimal point or fraction bar. (You did that.)
Any one of these three facts makes it a rational number.
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
