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2 years ago

Complete the proof that ∠PST≅∠QRT. S P Q R T

Mathematics

2 answers:

Dominik [7]2 years ago

6 0

Answer:

5. Substitution

6. Substitution

Step-by-step explanation:

The properties of congruence generally match those of equality;

A ≅ A . . . . reflexive property

A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property

A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution

In this proof, the conclusions (statements 5 and 6) are based on <em>substitution</em>. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.

EastWind [94]2 years ago

3 0

Answer: Transitive property of congruence

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Answer while showing work I need u to show ur work and answer

skad [1K]

Answer:

7cm

Step-by-step explanation:

One side of a square is increased by 8 cm, let us say the length got increased by 8 cm. So we have length of x + 8 cm

An adjacent side, the width, decreased by 2 cm. So we have width of x - 2cm

Perimeter of rectangle = 2(length + width)

40 = 2( (x + 8) + ( x - 2) )

40 = 2( 2x + 6)

40 = 4x + 12

28 = 4x

x = 7 cm

That is 7 cm of the length of the side of the square

4 0

3 years ago

Factorise k(a³ + b³)-m(a³ + b³)

Neporo4naja [7]

Answer:

this is so easy

Step-by-step explanation:

8 0

2 years ago

True or false: (a) If A2 is defined then A is necessarily square. (b) If AB and BA are defined then A and Bare square. (c) If AB

andrew-mc [135]

(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.

(b) False. As an example, consider the matrices

$A_{3\times2} = \begin{bmatrix}1&0\\0&1\\0&0\end{bmatrix}$

$B_{2\times3} = \begin{bmatrix}-1&0&1\\0&0&1\end{bmatrix}$

Then both AB and BA are defined, with

$AB_{3\times3} = \begin{bmatrix}-1&0&1\\0&0&1\\0&0&0\end{bmatrix}$

$BA_{2\times2} = \begin{bmatrix}-1&0\\0&0\end{bmatrix}$

In general, you can multiply any m×n by any n×m matrix.

(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.

4 0

2 years ago

The cost of renting ice skates is $4 plus $3.50 for each hour that the ice skates are

Elis [28]

Answer: D)3.5h+4

Step-by-step explanation:

Let h denotes the number of hours that the ice skates are rented.

Since, The cost of renting ice skates is $4 plus $3.50 for each hour that the ice skates are rented.

So , the total cost for ice-skating = $4 + $3.50 x (number of hours that the ice skates are rented.)

= 4+3.50 x ( h) [as expression]

Hence, the expression can be used to find the cost in dollars of renting ice skates for h hours :-

$3.5h+4$