Find angle picture below!

Angle T = 62°; Angle U = 43°; Angle V = 75°

Step-by-step explanation:

First, find x. We know that the interior angles of a triangle will always add up to 180°.

180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms

180° = 13x + 24 –––Subtract 24 from both sides

156° = 13x ––– Divide both sides by 13 to get x alone

12° = x

Now that we know what x is, we can substitute it in the expressions for the angles.

Angle T:

5x +2

5(12) + 2

60 +2

62°

Angle U:

2x + 19

2(12) + 19

24 + 19

43°

Angle V:

6x + 3

6(12) + 3

72 + 3

75°

Check:

They must equal 180° when added together:

75° + 62° + 43° = 180°

75° + 105° = 180°

180° = 180°

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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