Flowchart Proof-
Given: line a is parallel to line b, and angle 7 is congruent to angle 10
Prove: line c is parallel to line d
Please help and use the correct postulates and theorems for reasons.

the answer is x > -2

x is greater then -2 and that is the 3 one

Answer: line segment

Step-by-step explanation:

Answer:

The answers is 367.87

Step-by-step explanation:

The interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that simple interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

For the considered case, the unit of time is weekly.

In 7 years, there can be at least 1 leap year, and at max 2 leap years.

In 7 years, therefore, the number of days are between [tex]6 \times 365 + 366[/tex] and [tex]6 \times 365 + 366+1[/tex] or say in between 2556 and 2557

Since each week has 7 days, therefore, the number of weeks these days will have is approx [tex]\dfrac{2556}{7} \approx 365.14[/tex] (assumed there are 2556 days in 7 years).

This approximates to 365  weeks (integer quantity)

Thus, we get:

Thus, the amount of interest that Nolan will earn is approx:

[tex]CI = P(1 +\dfrac{R}{100})^T - P\\\\CI \approx 2300(1 + 0.0212)^{365} - 2300 \approx 2300 \times 2115.65 - 2300\\CI \approx \$4,863,465[/tex]

Thus. the interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.

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a = 7

Because we are looking for the area we would times the length times width. What times 6 would be equal to 42? 7!

1 a) Yogurt : Orange Juice : milk

      50 : 100 : 250

      (50 : 100 : 250 ) / 50

  ans=       1  :   2    :     5

b)  1 l = 1000 ml  of milk

      so  1000/250    = 4

       ans= 4 regular smoothies.

 c)   3 regular and 1 small

        (50 : 100 : 250 ) *3  +    (50 : 100 : 250 ) / 2

=  (150 : 300 : 750 ) +  (25: 50: 125)

ans =  175 ml yogurt, 350 ml orange juice, 875 ml milk          

The answer would be D) 50, because you would have to add 14+36 which equals 50

If you're asking how much she got paid per hour, the answer would be $5.40.

27 / 5 = 5.4

4/10

6/15

18/45

8/20

16/40

C

the equation of a line in ' slope- intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = [tex]\frac{3}{4}[/tex] x is in this form

with slope m = [tex]\frac{3}{4}[/tex] → C

The slope of the line is  [tex]m=\dfrac{3}{4}[/tex].

Given,

Equation of line is,

[tex]y=\dfrac{3}{4} x[/tex].

The line is passes through point,(2,1) .

We know that the slope form of equation is,

[tex]y=mx+c[/tex]

here m is the slope of the line and c is its y intercept.

On comparing the given equation of line with the general equation we get,

[tex]m=\dfrac{3}{4}[/tex].

Hence the correct option is C.

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If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.

A line of symmetry has equation x=-3.5 that is x+3.5=0.

Use formula for the distance from point [tex](x_0,y_0)[/tex] to the line AX+By+C=0:

[tex]d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.[/tex]

Thus,

[tex]d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.[/tex]

Answer: the distance is 5.5 units.

Answer:

5.5

Step-by-step explanation:

Answer : C) 12.8 cubic cm

The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p)

If y is  inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

where k is constant of proportionality

v is  inversely proportional to p then [tex]v=\frac{k}{p}[/tex]

the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds

Given : v= 24  and p = 16. We need to find out k

[tex]24=\frac{k}{16}[/tex]

Multiply by 16 on both sides

k = 384

Now we find out the volume under a pressure of 30 pounds

[tex]v=\frac{384}{30}[/tex]

[tex]v=\frac{128}{10}[/tex]= 12.8 cubic cm

Under a pressure of 30 pounds, the gas would occupy a volume of 12.8 cubic centimeters, as determined by applying Boyle's law, which states that volume and pressure are inversely proportional in conditions of constant temperature.

The volume (v) of a gas in a container at a constant temperature varies inversely as the pressure (p). This is a demonstration of Boyle's law, which states that pressure and volume are inversely proportional (P = k/V) when temperature is held constant. To find the new volume when the pressure changes, we can set up a proportion based on the original conditions provided: 24 cm³ at 16 pounds pressure. We set the initial volume and pressure as 24 cm³ and 16 lbs, respectively, and then solve for the new volume when the pressure is 30 lbs.

To find the volume under a pressure of 30 pounds, we use the equation:

V1 * P1 = V2 * P2

Where V1 is the original volume, P1 the original pressure, V2 the new volume, and P2 the new pressure. Plugging in our known values:

24 cm³ * 16 lbs = V2 * 30 lbs

Solving for V2, we get:

V2 = (24 cm³ * 16 lbs) / 30 lbs

V2 = 384 cm³ / 30 lbs

V2 = 12.8 cm³

Therefore, under a pressure of 30 pounds, the gas would occupy a volume of 12.8 cubic centimeters.

I got 750.278... might be wrong

Answer:

It's 730 feet

Step-by-step explanation:

A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold then the number of adult tickets sold = 112

Let's denote the number of adult tickets sold as 'A' and the number of student tickets sold as 'S'.

We are given two pieces of information:

1. The total number of tickets sold is 336: A + S = 336.

2. The number of student tickets sold was two times the number of adult tickets sold: S = 2A.

Now, we can use the second equation to substitute the value of 'S' in terms of 'A' into the first equation:

A + 2A = 336.

Combine the like terms:

3A = 336.

Now, isolate 'A' by dividing both sides by 3:

A = 336 / 3.

A = 112.

So, the number of adult tickets sold (A) is 112.

In summary, to find the number of adult tickets sold, we set up equations based on the given information and then solve for the variable representing the number of adult tickets (A).

By substituting the value of 'A' back into one of the equations, we can also find the number of student tickets sold (S).

In this case, 112 adult tickets and 224 student tickets were sold to make a total of 336 tickets.

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Yes it definitely is 720 degrees.

1 round= 360 degrees

2 rounds= 2 X 360 = 720 degrees

:-)

multiply both sides of the equation by 3.

2x+3y=9

move variable to the right side and change its sign

2x=9-3y

divide both sides of the equation by 2

x=9/2-3/2y

342,489 is your answer.

Final answer:

To prepare 30 ounces of a 50% hydrochloric acid solution, the chemist must mix 17 ounces of the 40% solution with 11 ounces of the 60% solution and 2 ounces of the 80% solution.

Explanation:

The student needs to mix different concentrations of hydrochloric acid to end up with 30 ounces of a 50% solution. We know that 2 ounces of the 80% solution are used, so the remaining 28 ounces must be a mix of the 40% and 60% solutions.

Let x represent the ounces of the 40% solution and 30 - 2 - x, or 28 - x, represent the ounces of the 60% solution. Setting up the equation based on mass of pure hydrochloric acid:

Solving for x:

The chemist needs to use 17 ounces of the 40% solution and 11 ounces of the 60% solution, combining them with the 2 ounces of the 80% solution to obtain 30 ounces of 50% hydrochloric acid.

The total area is 21 (15+6=21)

Answer:

Area of the given figure is 21 square units

Step-by-step explanation:

Area of the rectangle formula is length times width

Area of the top rectangle  

Length = 5 and width = 3

So area of top rectangle =5 times 3 is 15 square units

Area of bottom rectangle  

length =2 and width =3

So area of bottom rectangle is 2 times 3 is 6 square units

Total area =[tex]15+6= 21[/tex] square units

Answer:

The jug will hold 4,800 milliliters.

Step-by-step explanation:

Each liter is 1000 milliliters, and 4.8 • 100 = 4,800

The jug holds 4800 milliliters. The conversion factor is that 1 liter is equal to 1000 milliliters.

The subject of this question is based on the concept of volume conversion, specifically from liters to milliliters. This falls within the field of Mathematics. In the metric system, volume can be measured in cubic meters (m³), liters (L), and milliliters (mL). These units of volume are used in different scenarios depending on the magnitude of the volume to be measured. One liter (L) is equal to 1 cubic decimeter (dm³), or 1,000 cubic centimeters (cm³).

One common metric conversion is from liters to milliliters. This is because 1 Liter equals 1000 milliliters.

Therefore, if a jug holds 4.8 liters, we can find the equivalent volume in milliliters by multiplying the volume in liters by 1000. In this case, 4.8 liters * 1000 equals 4800 milliliters

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uhhhhh, your question seems a bit unclear. could you make it a bit more readable?

Answer: The rate of interest per annum is 1.3%.

Step-by-step explanation:

Given  Principal P= $1000

time period n=3

Amount A=$1040,40

To find rate of interest per annum r

We know that

[tex]A=P(1+\frac{r}{100} )^3\\\Rightarrow\ 1040=1000(1+\frac{r}{100})^3\\\Rightarrow\ 1.040=(1+\frac{r}{100})^3\\\text{taking log on both sides}\\log(1.040)=3log(1+\frac{r}{100})\\\Rightarrow0.039=3log(1+\frac{r}{100})\\\Rightarrow0.013=log(1+\frac{r}{100})\\\\\Rightarrow\ e^{0.013}=(1+\frac{r}{100})\\\Rightarrow\ 1.013=(1+\frac{r}{100})\\\Rightarrow\ \frac{r}{100}=1.013-1=0.013\\[/tex]

⇒  r = 1.3%.

Final answer:

The surface area of the paper coffee filter with a radius of 6 centimeters and a slant height of 12 centimeters is approximately 339 square centimeters when rounded to the nearest whole number.

Explanation:

Finding the Surface Area of a Coffee Filter

To find the surface area of the paper coffee filter, we need to consider it as a part of a cone because a coffee filter is shaped like a cone with a circular base. The surface area of a cone is calculated by the formula Surface Area = πr(r + l), where r is the radius and l is the slant height. Given that the radius of the coffee filter is 6 centimeters and the slant height is 12 centimeters, the formula should be filled in as follows:

Radius (r) = 6 cm

Slant Height (l) = 12 cm

The calculation will then be:

Surface Area = π x 6 cm x (6 cm + 12 cm)

Surface Area = π x 6 cm x 18 cm

Surface Area = π x 108 cm²

Surface Area ≈ 3.14159 x 108 cm²

Surface Area ≈ 339.29 cm²

Rounding to the nearest whole number:

Surface Area ≈ 339 cm²

The surface area of the paper coffee filter is approximately 339 square centimeters.

282.50

if his bank charges him $7.50 each month for a balance below of $500

then Javier who did not deposit or withdraw (added or subtracted) but had a total of 305 would be charged 7.50 for those 3 months

305 - 7.50 (3) = X

305 - (22.5)

282.50

Answer: He had $277.50 at the end of 3 months.

Step-by-step explanation:

Since we have given that

Amount he had in his bank account = $305

Bank charges each month = $7.50

Number of months = 3

So, Bank charges for 3 months would be

[tex]7.50\times 3\\\\=\$22.5[/tex]

So, Amount left in his bank account would be

[tex]\$305-\$22.5\\\\=\$277.50[/tex]

Hence, he had $277.50 at the end of 3 months.

It is horizontal and has a slope of 0.

The equation y = 1 is a horizontal line with a slope of zero.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line or linear system is given below.

y = 1

The above equation is a horizontal line with a slope of zero.

Thus, the correct option is A.

The graph is given below.

More about the linear system link is given below.

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The 3 inside angles of a triangle equal 180 degrees.

You are given 23 and 8 for two of them.

Subtract the 2 given angles from 180 to find the 3rd angle.

3rd angle = 180 -23 - 8 = 149 degrees.

25/6 hope this helps

I believe it's a segment.

To solve, we must find out how much he earned in the month. To do this, we do 29 x 9. This is done to find out how much was earned. Omar earned $261 in the month. Now we do 261-18 to find out how much is left after spending 18 dollars. We can see that Omar has $243 dollars remaining.