Answer:
sometimes, if their average angle is over 45 degrees
never are 2 obtuse angles summing to 180 degrees
always. two 90 degree angles always sum to 180 which is a straight line
Answer:

Step-by-step explanation:

So, 
= 
Hope this helps :)
Answer:
Step-by-step explanation:
<u>Given:</u>
- AB = 192 cm
- AC : CB = 1 : 3
- CD = BC/12
- The distance between midpoints of AD and CB = x
<u>Find the length of AC and CB:</u>
- AC + CB = AB
- AC + 3AC = 192
- 4AC = 192
- AC = 192/4
- AC = 48 cm
<u>Find CB:</u>
<u>Find the length of CD:</u>
- CD = BC/12 = 144/12 = 12 cm
<u>Find the length of AD:</u>
- AD = AC - CD = 48 - 12 = 36 cm
<u>Find the midpoint of AD:</u>
<u>Find the midpoint of CB:</u>
- m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm
<u>Find the distance between the midpoints:</u>
Answer:
.
Step-by-step explanation: We are given expression
.
And
expression is converted in
.
Now, we need to transform the expression into a single exponent expression using the properties of exponents.
We know, according to the properties of exponents

Applying same rule in given expression, we get

On simplifying exponents, we would get t in exponent.
=
.
Answer:
Step-by-step explanation:
Number of hurricanes in year 2008 = 8
Number of hurricanes in year 2009 = 3
Decrease in number of hurricanes = 8 - 3 = 5
Percent of decrease in number of hurricanes =
= 62.5%
Number of hurricanes in year 2010 = 12
Number of hurricanes in year 2011 = 7
Decrease in number of hurricanes = 12 - 7 = 5
Percentage decrease in number of hurricanes =
= 41.7%
Decrease in numbers of hurricanes in year 2010 - 11 was same as in year 2010 - 11.
Percentage decrease in hurricanes were more in year 2008 - 09 than percentage decrease in year 2010 - 11.