Describe a transformation that could be used to show that alternate interior angles are congruent.

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

[tex]y = \frac{1}{3}x + 4\\[/tex]

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Answer:

7

Step-by-step explanation:

2 is thousands so 7 must be ten thousand

Answer:

3.25

Step-by-step explanation:

I plugged in 5 for x and got 3.25 when I solved

Answer:

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.

Answer:

-4+-6=-10

Step-by-step explanation:

Answer:

Chair  x₁ = 10

Sofa   x₂ = 18

z(max)  = 2250 $

Step-by-step explanation:

Information:

Operation-Profit             Carpentry         Finishing      Upholstery     Profit

                                           hours                 hours              hours             $

Chair (x₁)                                3                        9                      2                90

Sofa  (x₂)                                 2                        4                     10               75

Objective Function z:

z =  90*x₁ + 75*x₂

Constrains:

1.-66 hours of carpentry available

3*x₁ + 2*x₂ ≤ 66

2.- 180  hours of finishing available

9*x₁  +  4*x₂ ≤  180

3.- 200 hours of upholstery

2*x₁  +  10*x₂  ≤ 200

Model:

z = 90*x₁ + 75*x₂    to maximize

Subject to:

3*x₁ + 2*x₂ ≤ 66

9*x₁  +  4*x₂ ≤  180

2*x₁  + 10*x₂  ≤ 200

x₁ >= 0  x₂ >= 0

From simplex method solver we get the answer

x₁ = 10         x₂  = 18       z = 2250

The linear programming model is:

Represent sofa with y and chairs with x.

The given parameters are:

Carpentry:

[tex]\mathbf{Chair =3\ hours}[/tex]

[tex]\mathbf{Sofa =2\ hours}[/tex]

[tex]\mathbf{Available = 66\ hours}[/tex]

So, we have:

[tex]\mathbf{3x + 2y \le 66}[/tex]

Finishing

[tex]\mathbf{Chair =9\ hours}[/tex]

[tex]\mathbf{Sofa =4\ hours}[/tex]

[tex]\mathbf{Available = 180\ hours}[/tex]

So, we have:

[tex]\mathbf{9x + 4y \le 180}[/tex]

Upholstery

[tex]\mathbf{Chair =2\ hours}[/tex]

[tex]\mathbf{Sofa =10\ hours}[/tex]

[tex]\mathbf{Available = 200\ hours}[/tex]

So, we have:

[tex]\mathbf{2x + 10y \le 200}[/tex]

The profit is given as: $90 per chair, and $75 per sofa.

So, the objective function is:

[tex]\mathbf{Z = 90x + 75y}[/tex]

Hence, the linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]

Subject to

[tex]\mathbf{3x + 2y \le 66}[/tex]

[tex]\mathbf{9x + 4y \le 180}[/tex]

[tex]\mathbf{2x + 10y \le 200}[/tex]

[tex]\mathbf{x,y \ge 0}[/tex]

Read more about linear programming model at:

https://brainly.com/question/13720072

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

To learn more, visit the link below:

brainly.com/question/12978834

Here,

g (x) = -3x + 1

then ,

g(10) = -3 (10) + 1

= -30 +1

= - 29

Again,

g(-6) = -3 (-6) + 1

= 18 + 1

= 19

Complected *******

Thank me later.

Answer:

p = 1

Step-by-step explanation:

10p + 5 = 18p - 6/2

(given)

______________

10p + 5 = 18p - 6/2

+6/2 +6/2

(addition property of equality)

_______________________

10p + 8 = 18p

-10p -10p

(subtraction property of equality

_________________________

8 = 8p

÷8 ÷8

(division property of equality)

______________________

1 = p

(symmetric property of equality)

___

p = 1

Answer:

0.753

Step-by-step explanation:

do 753/1000 and do the long division

Answer:

1/2 pound

90 ounces

11

Remaining 2 ounces

Step-by-step explanation:

Beef filet = 5 5/8 pounds

Slices of fillet = 8 ounces

A. how many pounds is each steak. write your answer as a fraction in simplest form.

1 pound = 16 ounces

Pounds of each steak = ounces per steak / ounces per pound

= 8 ounces / 16 ounces

= 1/2 pound

B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over

Beef filet = 5 5/8 pounds

= 45 / 8 pounds

Convert to ounces

= 90 ounces

Number of 8 ounces the chef can create = 90 ounces / 8 ounces

= 11.25

= 11

Remaining 2 ounces of beef

Answer:

5.5 7

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

The ladder will be the hypotenuse while the 4.2 meters will be a leg.

We want the angle between the ground & the ladder. Therefore, 4.2 is on the opposite side of the angle.

sin(theta) = opposite/hypotenuse

sin(theta) = 4.2/5

theta = arcsin(4.2/5)

theta = 57°

Answer:-7 I think

Step-by-step explanation:

Answer: The answer is 63

Step-by-step explanation:

I’m sorry I don’t know how to explain but I got it right

Answer:

63

Step-by-step explanation:

Answer:

The length is four less than three times the width.

x = 5 cm.

The width of rectangle is 5 cm.

Thus the length of rectangle 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11 cm

Step-by-step explanation:

HOPE IT HELPS

Answer:

x=110

Step-by-step explanation:

-.5x+12.5=-x+18

add x to -x to move it

then add 1x to -.5x to get .5

soo.....

.5x+25.5=18

the subtract 12.5 from both sides to get

.5x=5.5

then divide .5 from both sides to get

x=110

Answer:

poop i forgot my ramen noodles are in the microwave

Step-by-step explanation:

Answer:

160 years

Step-by-step explanation:

The formula for the heart rate is given by :

M=0.8 (220−A) ...(1)

M is the maximum heart rate in beats per minute and A is the age in years

Put M = 128 beats per minute in the above formula.

128=0.8(220-A)

160=220-A

A=220-160

A = 160 years

So, the age of person is 160 years if heart rate is 128 beats per munute

Answer:

B

Step-by-step explanation:

Plz give brainliest

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

Answer:

pet for sale

Step-by-step explanation:

soory pls mark me brainbelela

Answer: 18 brainiest plz

Step-by-step explanation:

First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18  

Then 9,18 so 18 days

Answer:

18

Step-by-step explanation:

Answer:

Sometimes

Step-by-step explanation:

Answer:

.25 cents

Step-by-step explanation:

Sandwich = x

cookie = x-5

x + (x-5) = 5.50

x + x -5 = 5.50

2x = 10.50

sandwich=$5.25

cookie = (5.25) - 5

cookie = $.25