what is the quadrilateral called that only has one parallel side

Answer:

D. The sum of the angles is 90°.

Step-by-step explanation:

The definition of complementary angles is that their measures add to 90°.

Answer:

b

Step-by-step explanation:

it makes the most senses the lower the discount the higher the chance

Answer:2.1

Step-by-step explanation:

i added them then divided by 7

3x + 2 = 2x + 7

Subtract 2 from both sides:

3x = 2x +5

Subtract 2x from both sides:

x = 5

Answer: x = 5

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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By examining the slope at different points, we can see that the slope is constant.

The term slope has to do with a measure of how steep the line of best fit is for a relationship that exists between two variables. In this case, we are considering the relationship between the amount paid and the time taken.

A straight line graph is expected to have a constant slope. To show that the slope is constant, let us look at two points on the graph; (0, 0) (9, 675) and (0, 0) (7, 525)

In the first case;

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

m = 675 - 0/9 - 0

m = 75

In the second case;

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

m = 525 - 0/7 - 0

m = 75

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

(x - 5)² + (y + 13)² = 121

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, - 13 ) and r = 11 , then

(x - 5)² + (y - (- 13))² = 11² , that is

(x - 5)² + (y + 13)² = 121

Answer:

Step-by-step explanation:

Its going to be a negative

negative, if wrong so sorry

Answer:

87 is the answer

Hope it helps!!!

Step-by-step explanation:

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

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The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0

A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include

From the roots;

a = 0 ; b = 4

From the polynomial expressions

x² - (a +b)x + ab = 0

x² - (0 +4 )x + 0*4 = 0

x² - 4x = 0

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Given:

The time to complete an exam is approximately Normal with a mean of 49 minutes and a standard deviation of 9 minutes.

So,

Given the following figure of the bell curve represents the distribution for testing times.

We will fill in the indicated boxes as follows by calculating the value of each box:

Answer:

The cost of the t-shirt would be $19.20 with a 20% discount and the amount discounted is $4.80

Step-by-step explanation:

24*0.8 = $19.20

Answer:

Step-by-step explanation:

The discount is:

price × discount

We can substitute the discount of 20% for 0.2 and multiply to find the amount of money taken away which gives us the remaining amount or the amount you pay.

$19.20

Answer:

Step-by-step explanation:

side of square=√(2²+2²)=√8

perimeter of square=4√8=4×2√2=8√2≈11.31 units

Answer:

...................................

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

Answer: a = 9.2

Step-by-step explanation: -174.8/-19 = 9.2

Answer:

21

Step-by-step explanation:

21

To find the rate in miles per gallon, divide the number of miles by the number of gallons of gasoline:

Reduce the fraction by 6:

The rate in miles per gallon is 18.

Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

Answer:

70

Step-by-step explanation:

45+90=135

180-45=45

q=45

45+65=110

180-110=70

70-45=25

p=25

45+25=70

Answer: 70°

Step-by-step explanation:

We know that the sum of all 3 angles in a triangle is 180°. Hence, we can just set all measures to be equal to 180° and solve for the variables.

\(p+65+90=180\\p+155=180\\p=25\)

\(45+90+q=180\\135+q=180\\q=45\)

\(p+q=25+45=70\)

The sum of p and q is 70°.

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

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

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

16. A

17. D

Step-by-step explanation:

16. By saying that a line intersects one plane and then another, you are saying that a line is existing on two planes. This is a direct contradiction to the statement.

17. The triangle is equilateral because syllogism is basically connecting the dots. If the angles in the triangle are all equal, it has all equal sides, and if it has all equal sides, then it is equilateral, therefore, it is D, not C.

Answer:

Domain: All Real Numbers

Range: All Real Numbers

Step-by-step explanation:

The domain and range of a cube root function will always be the full set of real numbers (All Real Numbers).

Answer:

The answer that describes the pair of angles is Acute

Answer:

228750

Step-by-step explanation:

283×610=172630

10×610=6100

82×610=50020

Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

Answer: 63,932

Step-by-step explanation:

September: 11,724

October: 14,380 + 11,724 = 26,104

November: 14,380 + 11,724 = 26,104

Combine all 3 months to get your answer= 63,932