In the figure, j∥k and m∠2 = 117°.


What is the m∠3?

Answer:

-2 -4

Step-by-step explanation:

saying to use 20 letters lol hope that helps

Answer:

The answer is 25

Step-by-step explanation:

6•5=30

30+20=50

50/-2=25

Answer:

Step-by-step explanation:

about 9 because

Answer:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]

And, the distance from P to (0, -2) will be:

[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]

So sum of the two distances must be 6. Therefore:

[tex]d_1+d_2=6[/tex]

Now, by substitution:

[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]

Simplify. We can subtract the second term from the left:

[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]

Square both sides:

[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]

We can cancel the x² terms and continue squaring:

[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]

We can divide both sides by -4:

[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]

Adding 9 to both sides yields:

[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]

And, we will square both sides one final time.

[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]

Distribute:

[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]

The 36y will cancel. So:

[tex]4y^2+81=9x^2+9y^2+36[/tex]

Subtracting 4y² and 36 from both sides yields:

[tex]9x^2+5y^2=45[/tex]

And dividing both sides by 45 produces:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

Answer:

Surface area of cuboid = 352 cm

Step-by-step explanation:

Given that:

Height of cuboid = 8 cm

Length of cuboid = 12 cm

Width of cuboid = 4 cm

Surface area = 2lw + 2lh + 2hw

Putting all the values;

Surface area = 2*12*4 + 2*12*8 + 2*8*4

Surface area = 96 + 192 + 64

Surface area = 352 cm

Hence,

Surface area of cuboid = 352 cm

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

Answer:

x=4.5

Step-by-step explanation:

2x-5=4

2x=9

x=4.5

Answer:

1.) -2

2.) -2

3.) -3

Step-by-step explanation:

Since we can't make a graph, we can make a table

(-5,13) and (1,1)

x       y

-5      13

1        1

From 13 to 1, you subtract 12 ( y-section)

From -5 to 1, you add 6 (x-section)

Now we can do y/x

y/x = 12/6 = -2

The slope for this first one is (-2).

(-5,14) and (12,-21)

x           y

-5          14

12         -21

From 14 to -21, you subtract 34

From -5 to 12, you add 17

Now we can do y/x

y/x = -34/17 = -2

The slope for this second one is (-2)

(1,1 )and (12,-21)​

x        y

1        12

12     -21

From 12 to 21, you subtract 33

From 1 to 12, you add 11

Now we can do y/x

y/x = -33/11 = -3

The slope for this third one is (-3)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

B

Step-by-step explanation:

Answer:

23x >= 1100

Step-by-step explanation:

Answer:

Slope = 0.75

Step-by-step explanation:

Slope is coefficient of x

Answer:

9 boys to 1 girl

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

w = width

length = w + 0.6

A = l · w

A = w (w + 0.6)

A = w² +.6w

Answer:

D

Step-by-step explanation:

w = width

l = length = w + 0.6

Area = ( l ) * ( w )

Area = ( w + 0.6 ) ( w )

Area = w^2 + 0.6w

Answer:

2g + 2f = 5.16

7g + 9f = 21.24

Step-by-step explanation:

Let

Gala = g ; Fuji = f ; jazz = j

g + f + j = 5.16 - - - (1)

j = g + f - - - (2)

From (1):

g + f + g + f = 5.16

2g + 2f = 5.16 - - - (3)

Total pound picked by Tanner = 12

3 Pounds of g ; 5 pounds of f

j = 12 - (5 +3) = 4 pounds

3g + 5f + 4j = 21.24 - - - (4)

3g + 5f + 4(g + f) = 21.24

3g + 5f + 4g + 4f = 21.24

7g + 9f = 21.24 - - - - - (5)

this should be the answer for this question!

Answer:

Step-by-step explanation:  Can I have Brain plz?

Answer:

198 ft/s speed

99 ft distance

Step-by-step explanation:

Answer:

7.33333ft

Step-by-step explanation:

Answer:

65.9

Step-by-step explanation:

Answer:

Yes there are same because

Let r=1

then

12r-5 = ( 12*1)-5 = 12 -5 = 7

but

-5 + 12r = -5 + (12*1) = -5 + 12 =7

Answer:

Step-by-step explanation:

50% = 1/2, 0.5

0.2 = 2%

Other = 20%, 20/100, 1/5

Answer:

I put this, Its correct.

Step-by-step explanation:

50% : 1/2, 0.5.

0.2 : 20/100, 20%, 1/5.

Other : 2%

Answer:

57 units

Step-by-step explanation:

So the step is we need to find out the scale factor

And the scale factor is 24/8 =3

So the parameter of ANG is

19×3

=57

Answer:

See below

Step-by-step explanation:

a)

P(A or Black) = (73 + 27)/127 = 100/127 =  0.7874015748

b)  

P(Red) = red/total = 39/127 = 0.30708661417

c)

P(Manufacturer B and Red) = (B and red)/total = 10/ 127 = 0.0787401575

d)

P(Manufacturer B or Red) = (B or red)/total = (54 + 29)/127 = 0.65354330708

Answer:

ANSWER:123

Step-by-step  its  very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle

The measure of the seventh angle in the heptagon is 125 degrees.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

We are given the measures of six angles in the heptagon, which are:

95, 107, 132, 138, 145, and 158 degrees

Sum of angles in Heptagon is 900 degrees.

To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:

Measure of the seventh angle = Sum of angles - Sum of known angles

Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees

Measure of the seventh angle = 900 degrees - 775 degrees

Measure of the seventh angle = 125 degrees

Therefore, the measure of the seventh angle in the heptagon is 125 degrees.

To learn more on Polygons click:

https://brainly.com/question/28276384

#SPJ2

Answer:

the slope is one since the line rises once and runs once

Answer:

Step-by-step explanation:

4.3 °F > 4 1/4 °F

Answer:

I think the answer is 9/2

Answer:

the middle sign

Step-by-step explanation: