Answer:
1 = 128 degrees
2 = 52 degrees
3 = 47 degrees
4 = 133 degrees
5 = 81 degrees
Step-by-step explanation:
angle 2 and 52 degrees are corresponding angles so they are equal.
angle 3 and 47 degrees are corresponding angles so they are equal.
angles 1 and 2 are supplementary angles so their sum is 180 degrees.
angles 3 and 4 are supplementary angles so their sum is 180 degrees.
angle 5 = 180 - 52 - 47 = 81 degrees
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
20x^2y - 4xy
First, we look at what terms are common between each term.
There is a 4 present in the last term, and 4 is a factor of 20, so that is one factor.
Each term also includes at least one x, and one y, so x and y are also factors.
We can factor a 4, an x, and a y out of this.
<h3><u>4xy(5x - 1) is the fully factored form of this binomial. </u></h3>
Answer: the answer is x the mitochondria
Step-by-step explanation:
The probability is 4/12 or 1/3
because the total of fish is 12 and the platy fish is 4 or 4 parts of the total 12.<span />
