Answer:
See explanation
Step-by-step explanation:
Consider triangles CAX and BAX. In these triangles,
- given
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,

Consider triangles CXY and BXY. In these triangles,
- proven
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,

Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
__
Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
Answer:
Addition property of equality
Step-by-step explanation:
3/4 was added to each side
Answer:
13/20
Step-by-step explanation:
You can figure the remaining percentage in 2050 and calculate using that, or you can figure the amount of population that will be lost and subtract that from the 2006 value.
<u>First method</u>: The remaining population will be 100% - 5.8% = 94.2% of that in 2006. 0.942×40.2 million ≈ 37.9 million
<u>Second method</u>: 5.8% of 40.2 million is about 2.3 million, so the remaining population will be 40.2 - 2.3 = 37.9 million