A polygon with 12 sides is called a/an

Final answer:

In an isosceles triangle with angles B and C congruent, and with m∠A equal to 40°, the equation to find x is 40° + 2(3x + 1)° = 180°. Solving this equation yields x = 23°, which corresponds to option b.

Explanation:

Since ΔABC is an isosceles triangle and angles B and C are congruent, m∠B = m∠C. Given that m∠A = 40°, we can set up an equation to find x since the sum of all angles in a triangle equals 180°.

Equation: 40° + (3x + 1)° + (3x + 1)° = 180°

Combining like terms:

40° + 2(3x + 1)° = 180°

40° + 6x + 2° = 180°

6x + 42° = 180°

6x = 180° - 42°

6x = 138°

x = 23°

Therefore, the value of x is 23°, which corresponds to option b.

Answer:

Option B, r=dt is not equivalent

Step-by-step explanation:

 We have given that : The formula d=rt

To find which is not equivalent in the following

so,

1) [tex]\frac{d}{r}=t[/tex]     is equivalent

2) [tex]r=dt[/tex]   is not equivalent because,   [tex]r=\frac{d}{t}[/tex]

3) [tex]\frac{d}{t}=r[/tex]  is equivalent

4) [tex]\frac{d}{rt}=1[/tex]   is equivalent

therefore option B is not equivalent.

The probability of the spinner landing on purple and a pink card being selected is 1/20 or 5%.

The subject of this question is probability, a branch of Mathematics. Let's determine the probability of the spinner landing on purple and choosing the pink card. There are 5 equal sectors in the spinner, which means every color has a 1/5 chance to be chosen on any spin. Therefore, the probability of it landing on purple is 1/5.

As for the cards, there are four of them, meaning each card also has a 1/4 chance of being selected. Therefore, the probability of selecting a pink card is 1/4.

Because these are independent events (one does not affect the outcome of the other) we can calculate the simultaneous probability by multiplying the individual probabilities. Thus, the total probability of the spinner landing on purple and a pink card being selected is (1/5) * (1/4), which equals 1/20 or 5%.

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26 letters each place, 10 numbers each place

26 x 26 x 26 x 10 x 10 x 10 x 10 = 175,760,000 different plates can be made

The population density in the country increased at a rate of about 0.53 persons per square mile each year between 2006 and 2014, demonstrating a linear relationship.

You are looking at a linear relationship between years and population density in a particular country. Years are represented by 'x' and persons per square mile are represented by 'y'. To find the relationship, we need to identify the slope of the line, which represents the rate of change in population density per year.

To find the slope, we subtract the y-values and divide by the change in x-values: (85.24 - 81) / (2014 - 2006) = 0.53 persons per square mile per year.

This tells us that, on average, the population density in this country increased by about 0.53 persons per square mile each year between 2006 and 2014.

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The population density of the country increased at a linear rate of around 0.53 persons per square mile each year between 2006 and 2014.

In this problem, we are dealing with a linear relationship between years(x) and persons per square mile(y). Here, we need to find the slope of the line to understand the rate at which the population density is increasing per year. The slope of a line in a linear relationship is given by the formula slope = (y2 - y1) / (x2 - x1). Here, (x1, y1) refers to the year and population density in 2006 which are (2006, 81) respectively, and (x2, y2) refer to the year and population density in 2014 which are (2014, 85.24) respectively.

Substitute these values into the formula:

Slope = (85.24 - 81) / (2014 - 2006)= 0.53 (approx).

So, the population density increase was about 0.53 persons per square mile per year between 2006 and 2014.

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The graph shown in option C. is the correct representation of the equation [tex]y = \dfrac{3}{4}x -3[/tex].

A graph means a visual representation of a set of entities, known as vertices or nodes, interconnected by connections, called edges.

Follow the following steps to draw the graph of the given equation:

Thus, the line [tex]y = \dfrac{3}{4}x -3[/tex] is plotted.

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Answer:

Answer is approx 12%

Step-by-step explanation:

Total land owned by Andre = [tex]\frac{1}{4}=0.25[/tex] acres

He wants to construct a 120 feet x 80 feet tennis court on the lot.

Means the area of the court will be = [tex]120\times80=9600[/tex] square feet.

9600 square feet = 0.22 acres (divide the area value by 43560  as 1 acre has 43560 sq feet)

Area left in acres = [tex]0.25-0.22=0.03[/tex] Acres

Hence, the approximate percentage left over will be = [tex]\frac{0.03}{0.25}\times100= 12[/tex]%

The domain of a graph represents the set of all the possible x-values for a function. In the context of this question, the domain could represent all the possible time values it took for water to be pumped out of the pond. However, the exact domain can't be identified without specific graph or additional information.

To determine the domain of the graph related to the water being pumped out of a backyard pond, you would need to consider the horizontal range of the graph. The domain of a graph in mathematics represents the set of all the possible x-values that the function can have. In the context of this problem, the domain could represent the time over which the water was being pumped out. The dependence of the quantity of water on the time creates a function whose domain (all possible time values during the pumping) we are looking for. However, without the specific graph or additional information, we cannot directly identify the domain.

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Answer:

the answer is B

Step-by-step explanation:

My teacher said it was

Answer: The converse of the given statement is if  [tex]x^2=9[/tex] ,then x=3.→ which is not true.

We cannot form a biconditional statement for the  given statement because the converse is not true.

Step-by-step explanation:

Given statement: If x = 3, then [tex]x^2=9[/tex]

The converse statement of conditional statement that "if p then q" is "if q then p".

therefore, the converse of the given statement is if  [tex]x^2=9[/tex] ,then x=3.

But the converse is not true since if  [tex]x^2=9[/tex] then x can be 3 or -3 .

∵  [tex]3^2=9[/tex] and  [tex](-3)^2=9[/tex]

 A biconditional statement is true if and only if both the conditional statement and its converse are true.

Therefore, we cannot form a biconditional statement for the  given statement because the converse is not true.

The converse of the conditional statement 'If x=3, then x²=9' is 'If x²=9, then x=3'. As both these statements are true, they can be combined into a biconditional statement 'x=3 if and only if x²=9'.

In your question, you asked how to write the converse of a given conditional statement and then combine them if the converse is also true. The original conditional statement is 'If x = 3, then x² = 9.' The converse of this statement would be 'If x² = 9, then x=3.' In this case, the converse is also true because if x² equals 9 then x does indeed equal 3. Therefore, we can combine the conditional statement and its converse into a biconditional statement: 'x = 3 if and only if x² = 9.'

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see attached picture

answer is 66 with remainder of 5

Answer: The remainder is 5

Step-by-step explanation:

599 /9

59 / 9 = 6

6 ×9 = 54

that means remainder 5

Join the 5 beside the last 9, making it 59 again

repeat the first process again, i.e 59/9 = 6

6×9 = 54

Remaining 5

Therefore 9 can go into 599, 66times with a remainder of 5

Answer:

It´s x2/16-y2/1=1

Step-by-step explanation:

The equation of the hyperbola is x²/16 - y²/1 =1

A symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone. A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

Given here: hyperbola with center at (0, 0), with x-intercepts at (4, 0) and (-4, 0), with b = 1 . Now we know The standard equation of the hyperbola is [(x²/a²) – (y²/b²)] = 1, where the X-axis is the transverse axis and the Y-axis is the conjugate axis.

Therefore the hyperbola opening horizontally has the equation with  x-intercepts at (4, 0) and (-4, 0), with b = 1 is x²/16 - y²/1 =1

Hence, The equation of the hyperbola is x²/16 - y²/1 =1

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