Answer:
From the graph attached, we know that
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate,
and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that
and
together are 180°, because they are on a straight angle. That is, 
If we substitute
for
, we have
, which means that
and
are also supplementary by definition.
Answer:
0.000025
Step-by-step explanation:
PEMDAS (Exponets first.)
10^5 = 100,000
10^10 = 10,000,000,000
rewrite
2.5 x 100,000 divided by 1.0 x 10,000,000,000
PEMDAS (multiplication next.)
2.5 x (10^5) = 250,000
1.0 x (10^10) = 10,000,000,000
rewrite.
250,000 divided by 10,000,000,000 = 0.000025
0.000025
divide it two numbers to get 11.090909 which would most likely to be 11.10
We try to represent the data in segments from 0 to 20.
<span>The length of the line segment along the number line from 0 to 5 is 5 - 0 = 5 units. The length of the line segment along the number line from 20 to 5 is 20 - 5 = 15 units. If you were to randomly throw a dart on this number line, then the probability of landing in the shaded region is 15/20 = 3/4 or 75%</span>