For brainiest:):):):):):):):)

A. No

B. No

C. Yes

Step-by-step explanation:

A and B are either below or above 180 degrees when all angles degrees are added together

C is exactly 180 degrees when all angles degrees are added together

A. No

B. No

C. Yes

Step-by-step explanation:

A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.

100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)

40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).

B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to  180°.

20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)

20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)

C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.

50 + 60 + 70 = 180°.

60 + 70 = 130 (130 IS GREATER THAN 50).

70 + 50 = 120 (120 IS GREATER THAN 60).

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

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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