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photoshop1234 [79]
2 years ago
12

Calculate the missing angle measure of each triangle on the left butterfly wing. Write the angle measure inside the angle. The r

ight butterfly wing is a reflection of the left butterfly wing and corresponding angles are congruent.

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

Answer:

See attached

The angle measures added.

One side is colored for you, you can do same for the other side

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a

Step-by-step explanation:

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Find the smallest solution to the equation 2/3 x^2 =24
lesya692 [45]

Answer:

\frac{2x^2}{3} =24

Step-by-step explanation:

times both sides by 3

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Find the volume of the given solid. Under the surface z = 6xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
Leya [2.2K]

he volume of the solid under a surface  

z

=

f

(

x

,

y

)

and above a region D is given by the formula  

∫

∫

D

f

(

x

,

y

)

d

A

.

Here  

f

(

x

,

y

)

=

6

x

y

. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the  

x

y

−

plane. The bounding equations of the triangle are found using the point-slope formula as  

x

=

1

,

y

=

1

and  

y

=

−

x

3

+

7

3

.

Here is a sketch of the triangle:

Intersecting Region

The inequalities that describe D are given by the sketch as:  

1

≤

x

≤

4

and  

1

≤

y

≤

−

x

3

+

7

3

.

Therefore, volume is

V

=

∫

4

1

∫

−

x

3

+

7

3

1

6

x

y

d

y

d

x

=

∫

4

1

6

x

[

y

2

2

]

−

x

3

+

7

3

1

d

x

=

3

∫

4

1

x

[

y

2

]

−

x

3

+

7

3

1

d

x

=

3

∫

4

1

x

[

49

9

−

14

x

9

+

x

2

9

−

1

]

d

x

=

3

∫

4

1

40

x

9

−

14

x

2

9

+

x

3

9

d

x

=

3

[

40

x

2

18

−

14

x

3

27

+

x

4

36

]

4

1

=

3

[

(

640

18

−

896

27

+

256

36

)

−

(

40

18

−

14

27

+

1

36

)

]

=

23.25

.

Volume is  

23.25

.

4 0
3 years ago
4x+y^2 over / 4x+5y =??? find the numerical value of x=3 and y=1 .
polet [3.4K]

Answer:

<u>The answer is 13/17</u>

Step-by-step explanation:

4x+y^2 divided by 4x+5y

4(3)+1^2 divided by 4(3)+5(1)

12+1 divided by 12+5

13 divided by 17

<u>13/17</u>

7 0
2 years ago
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