Select all true statements if n || m.

Parallel lines M and N cut by two transversals, A B and B C. Along line M, three angles are labeled 2, 3, and 4, which together form a straight angle. Transversal A B forms two angles below line N, one labeled 20 degrees and the other labeled A. Together, these angles form a straight angle. Transversal B C forms two angles below line N, one labeled C and the other labeled 60 degrees. Together, these angles form a straight angle. Angle 1 is vertical to the 60-degree angle and is an alternate interior angle to angle 4. Together, angles 1, 3, and an unlabeled angle that is vertical to the 20-degree angle form a triangle between the two parallel lines.
A. m∠2 = 60°
B. m∠3 = 100°
C. m∠2 + m∠4 = 80°
D. m∠2 + m∠3 = 80°
E. m∠2 = 20°

Answer:

The answer should be 1.5 I think if I did my math right

Step-by-step explanation:

Answer:

which is honestly what am saying yes

Answer:

x = 12

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles.

5x+20 = 20 + 6x-12

Combine like terms.

5x+20 = 6x +8

Subtract 5x from each side.

5x+20-5x = 6x+8-5x

20 = x+8

Subtract 8 from each side.

20-8 = x+8-8

12 =x

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

Below

Step-by-step explanation:

830 to 1130   is 3 hours

Hours per gallon =    3hrs / 2100 gal

3 hr / 2100 gal    * 3500 gal =   5hrs to fill from 830 = 13:30   ( 1:30 PM)

Answer:

tysm

Step-by-step explanation:

salamat sa points tysm

Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

70.699125

Answer: 2 Answers By Expert Tutors

The rule for division by a fraction is "change to multiplication by the reciprocal." So you want(4/3)(12) which is 4(4) = 16

Step-by-step explanation:

Answer: -8

Step-by-step explanation: You do y2 which is -4 subtracted by y1 which is 4 over x2 which is 5 subtracted by x1 which is 4 and since the denominator is 1 it becomes just negative 8

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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Answer:

1244 DCD

Step-by-step explanation:

Charle's Law states that the volume varies directly with it's temperature and can be expressed as :

Where V is the volume, T is the temperature and k is some constant

From the given problem, we have :

V1 = 0.8 liters

T1 = 400 degrees

V2 = 0.3 liters

Since k is a constant,

We can express both equation as k = V/T

Substitute the given values to the formula :

Then solve for the value of T2 :

Simplify the equation by multiplying 400T2 to both sides of the equation :

Therefore the answer is 150 degrees

Answer:

B, C and F

Step-by-step explanation:

A constant is where a variable or number is on its own

B - 2x-4 (4 is the constant)

C - 8x+y (y is the constant)

F - 7+4x (7 is the constant)

From the information provided, observe that the three terms are connected by a common ratio.

The first term is multiplied by a value denoted as letter r (common ratio) to derive the second term. The second term is also multiplied by r to derive the third term, and so on.

Therefore;

From the above calculation, the common ratio is 4/5. Therefore, the 10th term in the sequence shall be;

The 10th term is as shown above. To round this figure to the nearest thousandth, we need to convert this fraction into a decimal.

Hence we would have;

Answer: $56

Step-by-step explanation:

20% of 70=14

70-14=56

Answer:

P(x,y) reflection in x=y line:(y,x)

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan

Answer:

4.82 Estimated 4 people

Step-by-step explanation:

Total number of medals= 12+ 36+18= 66

66/45x65/44x64/43x63/42= 4.819955

Answer: 80%

Step-by-step explanation:

divide 120 by 150 and you get .8 then you move the decimal over 2

Answer:

y = 150z + .25x

y = $ amount of rental

z = weeks rented

x = miles driven

i hope this helps :)

Given:

Mean,

\(\mu = 300,000\)

Standard deviation,

\(\sigma = 50,000\)

The Chebyshev theorem will be used for the solution of the given query,

i.e., \(P(|X - \mu| < k \sigma ) \geq 1-\frac{1}{k^2}\)

(i)

⇒ \(1-\frac{1}{k^2} = 0.75\)

            \(k = 2\)

The lower limit will be:

= \(\mu - k \sigma\)

= \(300000-2\times 50000\)

= \(200000\)

The upper limit will be:

= \(\mu + k \sigma\)

= \(300000+2\times 50000\)

= \(400000\)

hence,

The 75% houses sold are between:

⇒ (200000, 400000)

(ii)

⇒ \(\mu -k \sigma = Lower \ limit\)

By putting the values, we get

   \(300000-50000k = 150000\)

   \(300000-150000=50000k\)

                  \(150000=50000k\)

                           \(k=\frac{150000}{50000}\)

                              \(=3\)

now,

⇒ \(1-\frac{1}{k^2} = 1-\frac{1}{3^2}\)

              \(=\frac{8}{9}\)

              \(=0.8888\)

              \(=88.88\) (%)

hence,

88.88% houses sold between 150000 and 450000.      

(iii)

⇒ \(\mu - k \sigma = Lower \ limit\)

By putting the values, we get

   \(300000-50000k = 170000\)

   \(300000-170000=50000 k\)

                  \(130000= 50000 k\)

                          \(k = \frac{130000}{50000}\)

                             \(=2.6\)

now,

⇒ \(1-\frac{1}{k^2} = 1-\frac{1}{2.6^2}\)

              \(=0.8521\)

              \(=85.21\) (%)

hence,

85.21% houses are sold between 170000 and 430000.

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Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

B

Step-by-step explanation:

Basically, both have a helmet rate of $5/hr. So,

300 +5x and 25x+5x = 30x

The questions specifically wants the purchasing to be lower.

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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