What is the measure of angle ADC?

The measure of the angle ∠C in the triangle ABC can be gotten using tan m∠C = 2

An equation shows how two or more numbers and variables are related to each other.

On the other hand, trigonometric ratios are used to show the relationship between the sides and angles of a right angled triangle.

The basic equations of the trigonometry ratios are

Using the above as a guide, and the given triangle:

We have:

tan m∠C = opposite/adjacent

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

tan m∠C = 6/3

Evaluate

tan m∠C = 2

Hence, the true equation is (d) tan m∠C = 2

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What are you talking about?

The table that is a justification for the given solution to the system of equations is table 1

The two linear equations are

y=4x-9 and

y=2x-5

We that the following points for x : -1, 0, 1, 2, 3

When we substitute the values in the two equations we will have

x           y₁              y₂

-1         -13             -9

0           -9             -5

1             -5            -3

2            -1              - 1

3            3                1

Conclusively the values of y₁, and y₂ are shown in the table above

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The average rate of change is equivalent to 2.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is the table as shown below -

[x] :  0  1  2  3  4

[y] :  -2 -3 1  3  6

The rate of change in the interval 0 < x < 4 is -

AROC = (6 + 2)/(4 - 0)

AROC = 8/4

AROC = 2

Therefore, the average rate of change is equivalent to 2.

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There are two steps of solving the equation -3(2x+6)=12.

The steps are given below.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given equation:

-3(2x+6)=12

The first step:

Solving the parenthesis first,

-6x -18 = 12

Adding 18 to both sides,

-6x = 30

Divide by -6,

x = -5

The alternate step:

-3(2x+6)=12

Divide by -3,

2x + 6 = -4

2x = -10

x = -5

Therefore, x = -5 is the solution of the equation.

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Two-way table showing meal pairings with frequency of salad, soup, chicken and fish.

Meal Pairing Salad Soup Chicken Fish

Frequency  46.          32.           ?. 35

To calculate the frequency of chicken, subtract the frequency of salad and fish from the total of 78 meals.

Frequency of chicken

= 78 - 46 - 35

= 27.

Meal Pairing Salad Soup Chicken Fish

Frequency 46.           32.            27. 35

The total number of meals served is 78. Of the 46 meals that included salads, 21 also included fish. This means that the frequency of fish is 35. The frequency of chicken can be calculated by subtracting the frequency of salad and fish from the total number of meals. The frequency of chicken is 27. The two-way frequency table representing this situation is as follows: Meal Pairing, Salad, Soup, Chicken, Fish; Frequency, 46, 32, 27, 35. This table shows that there were 46 meals with salad, 32 meals with soup, 27 meals with chicken, and 35 meals with fish.

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Answer:

It is best it you guess. What grade are you in

Step-by-step explanation:

Answer:

I think <BCH would also be 108 since its corresponding angles

and with <MNJ would also be 97 since its alternate exterior angles

Answer:

(2) y = -2x² + 6x - 6

Step-by-step explanation:

Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.

Answer:

not directly proportional

Step-by-step explanation:

if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.

first

one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )

second

one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )

since the unit costs are different there is not a directly proportional relationship.

Answer:

No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.

Step-by-step explanation:

$1.99 divided by 2 = 0.995

$1.99 + 0.995 = $2.985

$2.985 > $2.69

Answer:

Step-by-step explanation:

Here's the complete question:

It cost Nike $55.00 to make the Kyrie 5, but it is selling for $130.19. Calculate the markup/percent Increase for the shoe. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original shoe and the price of the amazon shoe

The percentage Increase of the shoe will be:

= Selling price - Cost/ Cost × 100

= (130.19 - 55.00) / 55.00 × 100

= 75.19 / 55.00 × 100

= 136.71%

The percent difference between the price of the original shoe and the price of the amazon shoe will be:

= (130.19 - 108)/130.19 × 100

= (22.19 / 130.19) × 100

= 17%

Answer:

-15

Step-by-step explanation:

5x-3=-15

Step-by-step explanation:

Answer:e5

Step-by-step explanation:

Here you go

Answer:

g(x) - f(x) = 3^x - 9 - (5x - 1) = 3^x -5x - 8

Answer:

912 cm²

Step-by-step explanation:

Formula for area of triangle: 1/2bh

So you'll first multiply the base by the height of the triangle

48 x 38 = 1,824

Then you'll multiply 1,824 by 1/2(which is the same as dividing it by 2)

1,824 ÷ 2 = 912

Answer:

The answer is A.

Step-by-step explanation:

○Lets Angle 1 and the angle with in a linear pair.

○Now we have 53+42+Angle x = 180° (Angle sum property of triangle)

= 53+42+x= 180

= 95+x= 180

= x= 180-95

= x= 85°

○Now that we found x, we can take angel x and angel 1 in linear pair again.

= Angelx + Angel 1= 180° (Linear Pair)

= 85 + Angel 1= 180°

= Angel 1= 180-85

= Angel 1= 95°

Therefore, option A is correct.

Answer: 0.15%

Step-by-step explanation: edmentum

Answer:

Step-by-step explanation:

the answer is 0.15

Answer:

38 bows

Step-by-step explanation:

50 ÷ 1.3 ≡ 38 6/13

38 × 1.3 = 49.4

Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.

Option D) f(x) = |x|, is Correct.

What is parent function?

A parent function is a basic or fundamental function that serves as the starting point for a family or group of related functions. These functions can be obtained by applying a transformation to the parent function, such as shifting, stretching, or reflecting it.

The absolute value parent function is represented by the following function:

D. f(x) = |x|

The absolute value function is defined as |x| = x for x >= 0 and |x| = -x for x < 0. Graph of this function is a V-shape, and it's also known as "the absolute value of x" function. It is a reflection of the linear function f(x) = x across the x-axis and will always have a slope of 1 and a y-intercept of 0.

A. f(x) = x is a linear function, slope is 1 and y-intercept is 0, This is not absolute value function

B. f(x) = 2ˣ is the exponential function, and it is not an absolute value function

C. f(x) = x² is the quadratic function, it's a parabola opening upwards and not an absolute value function

D. f(x) = |x| is the absolute value function, V-shape and it's an example of the absolute value parent function.

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Answer: look up zodiac signs and if that dont work look up ailian signs

Step-by-step explanation:

The required number of teams in 3rd year is given as 28 teams.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,

According to the quesiton,
Numbers of team in 2nd year = 20% of 20 + 20

                                             = 0.2 × 20 + 20
                                             = 24 teams

Number of team in 3rd year = 25% of 24 + 24
                                           = 0.25 × 24 + 22
                                           = 28 teams

Thus, the required number of teams in 3rd year is given as 28 teams.

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Answer:

Step-by-step explanation:

Answer:

Q1. Radius = 3 cm

Diameter = 6 cm

Circumference = 18.84 cm

Area = 28.26 cm²

Step-by-step explanation:

Hello! Let us solve Q.1 together and you can solve Q2 and 3 by how we did in Q1. First, you will need to know what diameter, radius, and circumference means.

Definitions:

Diameter - It is a line that passes through the center of the circle and the line's end (known as endpoints) touches the opposite to each other (basically there are two endpoints).

Radius - It is a line which is half of the diameter.

Circumference - It is the circle.

Now that we know the definitions, let us solve it.

Q1. Radius = 3 cm

Diameter = 6 cm

Circumference = 18.84 cm

Area = 28.26 cm²

Looking at the circle, we are already given the radius which is 3 cm. Now let us find the diameter. We know that the radius is half of the diameter, so we would multiply the radius (3 cm) by 2.

3 × 2 = 6 cm ---> diameter

Lastly let us find the circumference. If you look above the questions, you are given an example and gives you the formula of circumference. We will use that formula to find the circumference of Q1. circle.

Circumference formula:-

[tex]c \: = \: \pi \: \times \: d[/tex]

C = 3.14 × 6

C = 18.84 cm

Same goes with finding the area. You are already given the formula, so you will use it to find the area of Q1.

Area of circle formula:-

[tex]a \: = \: \pi \: \times \: r {}^{2} [/tex]

a = 3.14 × 3²

a = 3.14 × 9

a = 28.26 cm²

Hope this helps and if you need help I would be glad to help you, thank you :) !!

Answer:

3:1 or 3

Step-by-step explanation:

the left triangle is scaling up to the right triangle. 5/15 is 1/3

7/21 is 1/3

4/14 is 1/3

since it is scaling UP, the scale factor is 3:1

Step-by-step explanation:

y varies inversely as x=

y= k/xz

-5= k(-5)/6

k= 6

y=6/xz

y=6/5×-8

y= -3/20

Answer:

42000

Step-by-step explanation:

Original price (before VAT) is 100% of price.

VAT is 13%, of the original price so final price is 113% of original price.

113% = 1.13

original price = 47460/1.13 = 42000

Use synthetic division to divide (3x2 + 7x - 18) by (x - 3).The result of the division is (3x + 5)/(x - 3).

The first step is to write out the dividend and the divisor, and put a 0 in the box below the dividend.

3x2  +7x  -18

x - 3   0

The next step is to divide the divisor into the first term of the dividend.

3x2  +7x  -18

x - 3   0

3  -9

Next, we multiply the divisor by the result from the previous step and subtract it from the second term of the dividend.

3x2  +7x  -18

x - 3   0

3  -9  5

Next, we multiply the divisor by the result from the previous step and subtract it from the third term of the dividend.

3x2  +7x  -18

x - 3   0

3  -9  5  -15

Finally, we divide the last result by the divisor.

3x2  +7x  -18

x - 3   0

3  -9  5  -15  3

The result of the division by synthetic division is (3x + 5)/(x - 3).

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Answer:

Understand Given kite ABCD and isosceles trapezoid WXYZ, complete a two-​column proof to show that ... 9. △ADW ≅ △CDZ. 9. SAS. 9. Apply In Bhutanese architecture, the faces of buildings are trapezoids. If the row of decorative brick shown is 28.5 feet wide, what is the width of the base of the building? 25 ft. 16 ft. 16 ft.

Step-by-step explanation: