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show your work for both questions

The Proof for question no 20 and 21 are below.

Step-by-step explanation:

20.

Given:

∠PTR≅∠RSP

PT ≅ RS

To Prove:

ΔPQT ≅ ΔRQS

Proof:

In ΔPQT and ΔRQS

Statements                    Reasons

1. ∠PTR ≅ ∠RSP       1 .Given

2. ∠PQT ≅ ∠ROS     2. Vertical Opposite Angle Theorem.

3. PT ≅ RS                3. Given

4. ΔPQT ≅ ΔRQS     4. By A-A-S Congruence Postulate Proved

21.

Given:

PO ≅ SO

O is the Mid Point of NT

To Prove:

∠N ≅ ∠T

Proof:

In ΔPON and ΔSOT

Statements                    Reasons

1. PO ≅ S O              1 .Given

2. ∠PON ≅ ∠SOT    2. Vertical Opposite Angle Theorem.

3. NO ≅ TO              3. O is the Mid Point of NT

4. ΔPON ≅ ΔSOT    4. By S-A-S Congruence Postulate

5. ∠N ≅ ∠T               5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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