Question 14(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
In triangle LMN, mL = (4c + 47). If the exterior angle to L measures 69°, determine the value of c.
Oc= 36
Oc=34
Oc=16
Oc=11

Answer:

Concrete Operational Stage or Perceptive thinking

Answer:

y=8/11x-2

Step-by-step explanation:

in y=mx+b, the m= the slope, and the b=the y-intercept

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x+2}=-2 \\ \\ x+2=-8 \\ \\ x=-10[/tex]

The expression that represents Eddie's pay for the week including overtimes are  34.5x + 638.25.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Assuming the no. of extra work hours to be 'x'.

He has a regular work hour of 37 which pays him $(17.25×37) = $638.25.

And his overtime rate is twice his regular rate which is $(2×17.25)

= $34.5.

Therefore, His total pay for the week including his overtime is,

= 34.5x + 638.25 and we can replace x with the given values in the chart

to find his pay for the week.

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The value of the expression ((-1/3)^3)^-3 is option (D)  -19683

The given expression is

((-1/3)^3)^-3

The exponent is defined as the number of times the number is multiplied by its self. If the exponent is a^m, then the number a is multiplied m times

According to the power of the power rule is

(a^m)^n = a^(m×n)

We have to apply the power of the power rule in this question

((-1/3)^3)^-3 = (-1 / 3)^(3 × -3)

Multiply the numbers

=(-1 / 3)^-9

We know

(1/a)^-b = a^b

Then the terms will become

= -3^9

Find the power of the number

= -19683

Therefore, the result is -19683

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Answer:

Based on the information you provided, it seems that Helen Olson is looking to take out a loan for $999.00 and will need to make monthly payments of $44.96 in order to repay the loan within 24 months. It is important for Helen to carefully consider the terms of the loan, including the interest rate and any fees that may be associated with the loan, to ensure that she is able to make the monthly payments and repay the loan in full within the agreed-upon time frame. It may also be helpful for Helen to create a budget and plan for how she will manage her finances to make sure she has enough money each month to make the loan payments.

The new y-intercept of the function is (0. -5)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2/3|x + 4}

y-intercept = (0. 4)

The function is translated by

9 units down

This is represented as

(x, y) = (x, y - 9)

Substitute the known values in the above equation, so, we have the following representation

New y-intercept = (0. 4 - 9)

Evaluate

New y-intercept = (0. -5)

Hence, the new y-intercept = (0. -5)

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Answer:

a=40

b=70

c=20

d=30

Step-by-step explanation:

Answer:

Step-by-step explanation:..:&:&:&:

The answer to this Question related to Water Level is 10.4 inch

What is water level?

It is mark for safe amount of water in seas oceans etc and which is safe for Humans and Nature but sometimes due to heavy rains water level increase that is not good most of the times

Solution:

Here we can see water level rise per day = 2.6 inch

and rain continued for 4 days

hence after 4 days total water level reached = 2.6(4) = 10.4 inches

If rain would continued more than water level would've increased more

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We can consider that table (A) shows a proportional relationship of 7/1.

Relationships between two variables that are proportional occur when their ratios are equal.

Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value.

The "constant of proportionality" is the name of this constant.

So, consider the tables as follows:

Table A:

7/1

14/2 = 7/1

28/4 = 7/1

35/5 = 7/1

Proportional relationship: 7/1

Now, we don't need to calculate further.

Therefore, we can consider that table (A) shows a proportional relationship of 7/1.

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The total price after the tax is given as $27.43.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The price of phone is $26.

And, the percent sales tax is 5.5%.

Now, the price of phone after tax can be calculated as,

26 + 5.5% of 26

= 26 + 5.5/100 × 26

= 27.43

Hence, the total price of the phone including tax is $27.43.

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1. The translation was of 4 units right and 3 units down.

2. All the blue lines connecting the equivalent vertices will have a slope of -3/4.

The translations of the triangle is given by the rule presented as follows:

(x,y) -> (x + 4, y - 3).

Hence the meaning of each of these translations is given as follows:

The coordinates of the original vertices are given as follows:

(0,0), (0,4), (3,0).

Then the coordinates of the translated vertices are given as follows:

(4,-3), (4,1), (7,-3).

For a linear function, the slope is given by the vertical change divided by the horizontal change.

From these translations, the changes are given as follows:

Thus the slope of the linear function connecting the original vertices are given as follows:

m = -3/4.

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Prices at 93.75% of gasoline stations were within four standard deviations of the mean. Prices at 44.44% of gas stations were within 1.5 standard deviations of the mean. The prices within 1.5 standard deviations of the mean are $3.56 to $3.74. The minimum percentage of gasoline stations with prices between $3.43 and $3.83 is 15.46%.

Chebyshev's inequality states that the proportion of data within k standard deviations of the mean is at least 1 - 1/k² for all values of k.

(a) To find the percentage of gasoline stations with prices within 4 standard deviations of the mean, we can plug k = 4 into the formula above to get 1 - 1/4² = 1 - 1/16 = 15/16 = 93.75%.

(b) To find the percentage of gasoline stations with prices within 1.5 standard deviations of the mean, we can plug k = 1.5 into the formula above to get 1 - 1/1.5² = 1 - 1/2.25 = 4/9 = 44.44%. The prices within 1.5 standard deviations of the mean are $3.65 +/- (1.5 × 0.06) = $3.65 +/- $0.09, so the prices within 1.5 standard deviations of the mean are $3.56 to $3.74.

(c) To find the minimum percentage of gasoline stations with prices between $3.43 and $3.83, we can use Chebyshev's inequality with k = ($3.83 - $3.43)/(0.06) = 4.17. Plugging this value into the formula gives us 1 - 1/k² = 1 - 1/17.3 = 15.46%, which is the minimum percentage of gasoline stations with prices between $3.43 and $3.83.

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Answer:

Step-by-step explanation:

it all equals 4n+12=3d

Answer:

4/6 and 1/6

Step-by-step explanation:

6 is the least common denominator found by multiplying 3 by 2

Answer:

A. t(n) = 20 + 60n

Step-by-step explanation:

$20 is the money Rob had before washing windows.

He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.

n = the number of weekends

the total amount of dollars he will have is 20 + 60n

Answer:A. t(n) = 20 + 60n

Step-by-step explanation:

$20 is the money Rob had before washing windows.

He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.

n = the number of weekends

the total amount of dollars he will have is 20 + 60n

Slope of the line having passing points (6,-5) and (-6,-5) is 0.

What do you mean by slope of the line?

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Hence, the change in y-coordinate with regard to the change in x-coordinate is given by,

m =  change in y/change in x

Given passing points :

(6,-5) and (-6,-5)

Slope of the line having passing points (x,y) and (a,b) is given by [tex]\frac{b-y}{a-x}[/tex]

Slope of the line become , [tex]\frac{-5+5}{-6-6}[/tex] = [tex]\frac{0}{-12}=0[/tex]

Therefore, slope of the line having passing points (6,-5) and (-6,-5) is 0.

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Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Considering the given image, we can easily spot that (B) line 2 is the line of symmetry.

A form or item is divided into two equal and symmetrical portions by a line of symmetry.

Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

Rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry are some examples of symmetries.

Planar symmetry, which refers to various types of symmetry on a flat surface, is illustrated by these four different types of symmetry.

So, according to the given image:

LIne 1 and 3 are not making the 2 identical halves of the figure.

Line 2 is making the exact identical half of the figure.

Therefore, considering the given image, we can easily spot that (B) line 2 is the line of symmetry.

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The slope of the line in the function is 1

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

m = y₂ - y₁ / x₂ - x₁

Taking two points;

Substituting the values into the formula;

m = -2 - 0 / 3 - 5

m = -2 / - 2

m = 1

The slope is calculated as 1

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3x + 2y = 18

2x + 5y = 14 are both linear equations

The system of linear equations in two variables is an equation with two different variables. Any equation with different variables can be in this system.

The solution for this type of equation by solving and getting two different values for both x and y but the same values are used in both equations.

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Answer:

Step-by-step explanation:

Divide 9 on both sides and you'd get y=3

Answer: 2 cm

Step-by-step explanation:

2 x 3 = 6

The angle measurement of T is 80°.

Here given,

∠Q = (9x - 17)°

∠R = (4x + 28)°

Since ∠Q and ∠R are co-interior angles in parallel lines.

∠Q + ∠R = 180°

So,

(9x - 17) + (4x + 28) = 180°

= 9x - 17 + 4x + 28 = 180°

By adding x variables together,

13x + 11 = 180°

=>  13x = 180°-11

=> x = 169° ÷ 13

x = 13

By substituting x,

∠Q = 9 x 13 - 17

      = 117 - 17

      = 100°

∠Q + ∠T = 180° (angles on a straight line is 180°)

100 + ∠T = 180°

∠T  = 180 - 100

∠T  = 80°

Therefore the value of  ∠T is 80°.

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Answer:

Step-by-step explanation:

120/200=.6(100)

=60

Answer:

Step-by-step explanation:

You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.

David's solution is correct up to Step 4.

At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...

  Step 4: (5 -3)x -4 = 2x -4

David's incorrect solution should have been 2x -4.

Answer: sin

Step-by-step explanation: