B OA) A Which statements are necessary to prove the two triangles are congruent by SSS? O B) D =CD, AB = C, mzBDA = 90° AD, BD = CD, mzBDA = 90° O a OD) AD AD, BD = CD, AB = AC BD = CD, AB= AC​

You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.

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Answer:

[tex]P_t=5x+16[/tex]

Step-by-step explanation:

The perimeter of the triangle will be the sum of all the sides,

[tex]P_t=a+b+c[/tex]

For this problem, let a=x, b=3x+12, and c=4+x.  So,

[tex]P_t=(x)+(3x+12)+(4+x)\\P_t=x+3x+12+4+x\\P_t=x+3x+x+12+4\\P_t=5x+16[/tex]

The letters of "hyperbola" can be combined into 40,320 different nine-letter words by using each letter just once.

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

There are 8 letters in the word "hyperbola",

So, there are 8 choices for the first letter, 7 choices for the second letter, and so on, down to 1 choice for the last letter.

This means that there are :

⇒ 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

Therefore, 40,320 possible nine-letter words can be formed from the letters of "hyperbola" using each letter once per word.

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Answer: The slope is 3

Step-by-step explanation:

Explanation:

The slope of a line in the form

y

=

m

x

+

b

is

m

.

3

x

−

y

=

4

−

y

=

−

3

x

+

4

subtract

3

x

from both sides

y

=

3

x

−

4

multiply both sides by

−

1

Answer:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a

.

Measure of the other angle is 2

times a

.

So, measure of the other angle is 2a

.

If the sum of the measures of two angles is 180°

, then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a

, divide both sides of the equation by 3

.

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60°

and 120° .

Step-by-step explanation:

Hope this works!....

Answer:

B. Shape A can be matched to shape B by reflecting about the origin and then shifting –3 on the x-axis and 1 on the y-axis.

Step-by-step explanation:

tile will it take to cover the pedestal, including the bottom is 288 square feet

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It is not possible for the measure of each interior angle of a regular polygon to be four times the minimum angle of rotation about its center that carries the polygon onto itself.

What is the interior angle?

The inner of the two angles formed where two sides of a polygon come together. any of the four angles formed in the area between a pair of parallel lines when a third line cuts them.

Jasper's claim is not true. The minimum angle of rotation about the center of a regular polygon that carries the polygon onto itself is called the polygon's "order of rotational symmetry." This angle is always less than or equal to 180 degrees, and it is equal to 360 degrees divided by the number of sides in the polygon.

For example, a regular hexagon has an order of rotational symmetry of 60 degrees (360 degrees / 6 sides), and a regular octagon has an order of rotational symmetry of 45 degrees (360 degrees / 8 sides).

Therefore, if the measure of each interior angle of a regular polygon is four times the minimum angle of rotation about its center that carries the polygon onto itself, then the measure of each interior angle would have to be at least 720 degrees. However, the sum of the interior angles of a regular polygon with n sides is 180(n-2) degrees, which is always less than 720 degrees for any value of n greater than 2.

Therefore, it is not possible for the measure of each interior angle of a regular polygon to be four times the minimum angle of rotation about its center that carries the polygon onto itself.

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Because both of its x-intercepts should be the same horizontal distance from the axis of symmetry at x = 5/2 or 2.5 according to symmetry, the vertex's x-coordinates are 5/2.

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Here,

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get

(2+3)/2 = 5/2

The x-coordinates of its vertex is 5/2 because by symmetry, both x-intercepts should be the same horizontal distance from the axis of symmetry at x = 5/2 or 2.5.

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The area of the cylinder's base is 1÷4π.x² is the correct option

What is a cylinder?

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centres of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centres.

The cylinder seems to be a rectangle from the side perspective and a circle from the top view.

Since a cylinder has a curved form and no straight lines, it lacks vertices in contrast to cones, cubes, and cuboid shapes. Two of its faces are round.

According to the question volume of the cylinder is

1. πr^2h = πr^3

h=r=x/2

2.

The radius of cylinder is

= x/2

3.

The area of the cylinder's base is

= πr^2

= (π x^2)/4

4.

The height of the cylinder is =

radius= height =x/2

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The total years taken to double the money according to Compounding will be 12.5  years.

What is compound interest?

Compound interest is that the interest on savings calculated on each the initial principal and therefore the accumulated interest from previous periods.

Main body:

Given :

rate = 6%

amount = $900

Total amount = $1800

Compounded monthly,

so formula becomes,

Total amount = amount (1+r/1200)^12t

T = A[tex](1+r/1200)^{12t}[/tex]

1800 = 900 (1+6/1200)^12t

2 = (1+1/200)^12t

2 = 1.005^12t

taking log on both sides

log 2 = 12t *log 1.005

0.3/0.002 = 12t

t = 12.5 years

Hence the time taken to double the money is 12.5 years.

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You may find the answer to this question in the statement of the problem, if the vehicles uses 1 gallon to travel 13 times, then it is traveling at a rate of 13 miles per gallon.

Answer:75%

Step-by-step explanation:

The measure of angle B is (d)  114 degrees

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

B = 13x - 16

Exterior of B = 8x - 14

As a general rule, the sum of an angle and its exterior is 180 degrees

This means that

13x - 16 + 8x - 14 = 180

Evaluate the like terms

So, we have

21x = 210

Divide both sides

x = 10

Recall that

B = 13x - 16

So, we have

B = 13 x 10 - 16

Evaluate

B = 114

Hence, the measure is 114 degrees

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Answer:

The measure of angle B is (d)  114 degrees

Step-by-step explanation:

Answer:

x^2-2x-48

Step-by-step explanation:

FOIL

Firsts = x*x = x^2

outside = x*-6 = -6x

inside = 8*x = 8x

lasts = 8*-6 = -48

add all together x^2-6x+8x-48 = x^2-2x-48

Answer:

x² + 2x - 48

Step-by-step explanation:

( x + 8 ) ( x - 6 )

=  x ( x - 6 ) + 8 ( x - 6 )

= x*x - 6*x + 8*x + 8*( - 6 )

= x² - 6x + 8x  - 48

= x² + 2x - 48

Answer: (fog)(x) = f(g(x)) = f(6x) = 5(6x) = 30x

So (fog)(x) = 30x, which is a polynomial in simplest form

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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The trigonometric measures for the triangle in this problem are given as follows:

The six trigonometric measures for a right triangle are given as follows:

From the given right triangle, the sides are given as follows:

a = 9, b = 4.

Then, applying the Pythagorean Theorem, the length of the sqis given as follows:

h² = 9² + 4²

h² = 97

h = square root of 97.

h = 9.85.

The triangle is given by the image shown at the end of the answer.

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Answer:

do it yourslef

dont be silly

lol

11111111

Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.

[tex]s=\sqrt{p(1-p)/n}[/tex]

[tex]p v=2*p(z < -0.531)=0.595[/tex]

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

represent the p value (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:  

Null hypothesis:  

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

(1)  The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

3) Calculate the statistic  

[tex]z=\frac{0.76 - 0.77}{\sqrt{\frac{0.77(1-77)}{500} } =0.531}[/tex]

Since we have all the info requires we can replace in formula (1) like this:  

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided [tex]\alpha =0.05[/tex]The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

[tex]pv=2*p(z < -0.0531)=0.595[/tex]

If we compare the p value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.  

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The correct match the following is shown below:

2x + 3 (x - 2) = 6 (x + 1) + x → x = -6

2x + 3 (x - 2) = 6 (x - 1) - x → All real numbers

2x + 3 (x - 2) = 6 (x - 1) + x → x = 0

2x + 3 (x - 1) = 6 (x - 1) - x → No solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

The equation is, 2x + 3 (x - 2) = 6 (x + 1) + x, 2x + 3 (x - 2) = 6 (x - 1) - x, 2x + 3 (x - 2) = 6 (x - 1) + x, and 2x + 3 (x - 1) = 6 (x - 1) - x

Solve the above equations as shown below,

2x + 3 (x - 2) = 6 (x + 1) + x

2x + 3x - 6 = 6x + 6 + x

5x - 6 = 7x + 6

7x - 5x = -6 - 6

x = -6

2x + 3 (x - 2) = 6 (x - 1) - x

2x + 3x - 6 = 6x - 6 - x

5x  - 6 = 5x - 6

Infinity solutions,

2x + 3 (x - 2) = 6 (x - 1) + x

2x + 3x - 6 = 6x - 6 + x

5x - 6 = 7x - 6

x = 0

2x + 3 (x - 1) = 6 (x - 1) - x

2x + 3x - 3 = 6x - 6 - x

5x - 3 = 5x - 6

Parallel line, hence, no solution.

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a) The linear functions each cell phone provider are given as follows:

The graph with these functions is given by the image shown at the end of the answer.

b) The cheaper companies are given as follows:

The linear functions in this problem are defined in slope-intercept format as follows:

y = mx + b.

In which the coefficients and their meaning are given as follows:

Hence the cost functions for this problem are given as follows:

The functions intersect at x = 6.67, hence the cheaper plans are given as follows:

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Answer:

---------------------------------

For the equation to have infinitely many solutions, the variables and constants should cancel and should end up with 0 = 0. It means for any value of the variable the equation is true, i.e. both sides are equal.

Given equation:

If we solve it for ? we'll get:

Fill in the inequality for each problem as follows 32 > -39, 3 < 15, 4  > -6 and -8  > -15

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.

We have different inequality signs as follows:

Greater than (>)

Less than(<)

Less than or equal to (≤)

Greater than or equal to (≥)

Given:

32__-39

3__15

4__-6

-8__-15

For 32__-39:

Since 32 is greater than -39. we can write:

32 > -39

For 3__15:

Since 3 is less than 15. we can write:

3 < 15

For 4__-6:

Since 4 is greater than -6. we can write:

4  > -6

For -8__-15:

Since -8 is greater than -15. we can write:

-8  > -15

Thus, fill in for each problem accordingly

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Complete Question

Fill in >,< or = for each prob

32__-39

3__15

4__-6

-8__-15

Answer:

Infinitely many

Step-by-step explanation:

2x+y=1

4x+2y=2

Divide both sides of the second equation by 2.

2x + y = 1

This is the same as the first equations. Both equations are the same equation. Since you have only one equation and two variables, there is an infinite number of solutions.

Answer: Infinitely many

The average class size of Newton middle school is 21.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a decade ago, the average class size at Newton Middle School was 30 students. Now it is 30% smaller.

The average class size will be calculated as,

Average class size = 30 x (70%)

Average class size = 30 x 0.7

Average class size = 21

Therefore, the average class size at Newton middle school is 21.

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The graph of the proportional relationship is added as an attachment

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

Time = 3 minutes

Supply of water = 12 litres

Using the above parameters, we have the following ordered pairs

(0, 0) and (3, 12)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 0) and (3, 12)

The gradient of the line is then calculated using the following slope equation

gradient = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 0) and (3, 12)

Substitute the known values in the above equation

So, we have the following equation

gradient  = (12 - 0)/(4 - 0)

Evaluate

gradient  = 3

The equation of the line is then calculated as

y = gradient * x

Substitute the known values in the above equation

So, we have the following equation

y = 3 * x

Evaluate the products

y= 3x

Hence, the line equation is y= 3x

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The given polygon could be parallelogram , quadrilateral , rectangle.

What is a polygon?

In geometry, a polygonal shape could be a two-dimensional figure that's delineate by a finite range of line segments connected to make a closed two-dimensional figure chain. The delimited plane region, the bounding circuit, or the 2 along, is also referred to as a polygonal shape.

Main body:

As opposite sides of polygon QRST are parallel , it a parallelogram .

A quadrilateral is a polygon with for sides , so it also satisfies the condition.

The opposite sides of rectangle are equal and parallel , which is also satisfied.

Hence ,the given polygon could be parallelogram , quadrilateral , rectangle.

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By solving equations, we know that there were 2187 adult partons.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A function is an equation with a single solution for y for each value of x.

Each input of a particular type receives exactly one output when using a function.

Instead of y, a function is frequently named f(x) or g(x).

When x equals 2, we should determine our function's value because f(2) says to do so.

So, the number of adult patrons was:

Let, a be an adult and c be children.

Total tickets:

a + c = 5200

c = (5200-a)

Total amount:

7.50a + 4.50c = 29961

Replace c in the first equation with (5200-a).

7.5a + 4.5(5200-a) = 29961

7.5a + 23400 - 4.5a = 29961

7.5a - 4.5a = 29961 - 23400

3a = 6561

a = 6561/3

a = 2187

Therefore, by solving equations, we know that there were 2187 adult partons.

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A true proportion of the figure based on the triangle proportionality theorem is: A) i/j = h/k.

In Mathematics, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

The triangle proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

Since side TU is parallel to side QR, side TU will divide both sides QS and RS proportionally in accordance with the triangle proportionality theorem as follows;

RU/QT = SU/ST ≡ i/j = h/k

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