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denpristay [2]
2 years ago
8

If the non-parallel sides of a Trapezium are equal prove that it is cyclic.​

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
8 0

Step-by-step explanation:

<h3>Solved in the attachment!! </h3>

<h3>Hope it helps you!! </h3>

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Prove that A is idempotent if and only if AT is idempotent. Getting Started: The phrase "if and only if" means that you have to
Otrada [13]

Answer:

It is proved that A is idempotent if and only if A^T is idempotent.

Step-by-step explanation:

Case-1 : First assume that A is idempotent that is, A^2=A. We have to show by using this (A^T)^2=A^T. So,

(A^T)^2=A^T\times A^T=(A\times A)^T=(A^2)^T=A^T

Thus A^T is idempotent.

Case-2 :

Conversly, assuming A^T is idempotent, thet is,  (A^T)^2=A^T . We have to show A^2=A. So,

A^2=A\times A=(A^T)^T\times(A^T)^T=(A^T\times A^T)^T

=((A^T)^2)^T=(A^T)^T=A

Thus A is idempotent. Hence proved.

3 0
3 years ago
The original amount owed on a loan is known as
beks73 [17]

Answer:

The original amount owned on a loan is known as principal.

7 0
3 years ago
Help me please!!!!!!!!!!!
tangare [24]

Answer:

m∠B = 107°

Step-by-step explanation:

The given geometric figure is a deltoid or quadrilateral with two pairs of equal adjacent sides whose diagonals are perpendicular.

The longer diagonal divides two opposite angles into two equal parts, which means:

m∠A = 2 · 32 = 64°

m∠C = 2 · 41 = 82

Also the angles m∠B ≅ m∠D = x

The total sum of the inner angles in the quadrilateral is 360°, which means:

2 · x = 360 - ( 64 + 82) = 360 - 146 = 214 => x = 214/2 = 107°

m∠B = 107°

God with you!!!

7 0
3 years ago
PLEASE HELP ME PLEASEEEEE
Novay_Z [31]

Answer:

56.52 units³

Step-by-step explanation:

v  = \pi {r}^{2}h

r = 3 units ; h (height) = 2

V = 3.14 × 3² × 2

= 3.14 × 9 × 2

= 56.52 units³

4 0
3 years ago
I need help answering this
mr_godi [17]

Answer:

uhm i would say the second one but i might be very wrong

Step-by-step explanation:

7 0
2 years ago
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