Consider the vertices of parallelogram JKLM with vertices J(2,2) , K(5,3) , L(5,-3) and M(2,-4).
Perimeter JKLM = Length JK + Length KL + Length LM + Length JM
Length JK = (2,2) (5,3)
The length(or distance) between two points say
and
is given by the distance formula:

Now, length JK = 
=
units
Since, JKLM is a parallelogram. In parallelogram opposite sides are equal in length.
Therefore, LM =
units
Now, length KL = 
= 6 units
Since, JKLM is a parallelogram. In parallelogram opposite sides are equal in length.
Therefore, JM = 6 units
Perimeter of JKLM =
+
+ 6 + 6
= 2
+ 12
= 18.324
Rounding to the nearest tenth, we get
= 18.3 units.
Therefore, the perimeter of JKLM is 18.3 units.
Answer:
6n-5=43
+5 +5
6n=48
/6 /6
n=8
Step-by-step explanation:
i hope this helps :)
Answer:
The similarities are
1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria
2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria
3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;
AB/DC = AC/DE = BC/CE
The observed differences are
1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent
2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite
3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria
4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.
Step-by-step explanation:
The similarity postulates are;
The Angle Angle Similarity Postulate also known as AA
The Side Side Side Similarity Theorem also known as SSS
The Side Angle Side Similarity Theorem also known as SAS
Answer:
The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.
Step-by-step explanation:
The diameter of a basketball is approximately given to be 9.5 inches.
The radius of the basket ball is given by
= 4.75 inches.
The volume of the basket ball is given by =
× π ×
= 449.1012 cubic inches.
The diameter of a tennis ball is approximately given to be 2.5 inches.
The radius of the tennis ball is
= 1.25 inches.
The volume of the tennis ball is given by =
× π ×
= 8.1845 cubic inches.
Ratio between the volume of the basketball and tennis is given by
= 54.87.
Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.
your answer would be 254 I just did it and I got it right ✨