Step-by-step explanation:
the answer is in the picture above
Answer:
SAS (side angle side)
Step-by-step explanation:
We have a pair of corresponding sides and the included angle. The angle is equal, but the sides are a fraction of the other triangle's side and has an equal rate.
2AC=DF
2AB=DE
The triangles are congruent
A. False. Consider the identity matrix, which is diagonalizable (it's already diagonal) but all its eigenvalues are the same (1).
b. True. Suppose

is the matrix of the eigenvectors of

, and

is the diagonal matrix of the eigenvalues of

:


Then

In other words, the columns of

are

, which are identically

, and these are the columns of

.
c. False. A counterexample is the matrix

which is nonsingular, but it has only one eigenvalue.
d. False. Consider the matrix

with eigenvalue

and eigenvector

, where

. But the matrix can't be diagonalized.
Answer:
D. greater than 8 cm and less than 70 cm
Step-by-step explanation:
Given:
Length of one side = 39 cm
Length of other side = 31 cm
We need to find the length of third side.
Solution:
to find the length of third side we will use triangle Inequality property which states that;
"The length of the third side should be less than sum of the other two side."
Also;
"The length of the third side should be greater than difference of the other two sides."
Now Sum of 2 sides of triangle = 39 + 31 =70 cm
Also Difference of 2 side of triangle = 39 -31 = 8 cm
Hence The length of the third side should be greater than 8 cm and less than 70 cm.