The perimeter of a regular 6 -sided figure is 30 units, and the length of each side is x + 1 units.
What is the value of x?

Continuity of a function can be checked by examining the limits of the function as x approaches a certain value and ensuring the function's output is equal to the value of the function at that point.

Continuity of a function is an important concept in calculus and other branches of mathematics. In order to check the continuity of a function, the limits of the function must be examined as x approaches a certain value. This means that the left-hand limit and the right-hand limit must be equal. If the limits are equal, then the function is continuous at that point. If the limits are not equal, then the function is not continuous at that point. Additionally, the value of the function at that point must also be equal to the limits in order for the function to be continuous. If the function is discontinuous at any point, then it is not considered continuous. Continuity is necessary for certain properties of functions, such as derivatives and integrals, to be defined.

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Answer:m<1 = 111 degrees, m<2 = 69 degrees

Step-by-step explanation:The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:

x + 88 + 3x = 180  

4x = 108

x=23 degrees

Next, substitute 23 into the given angles:

m<1 = (23 + 88) = 111 degrees

m<2 = 23 * 3 = 69 degrees

Thus, m<1 = 111 degrees, m<2 = 69 degrees.

One pair of vertical angle are ∠1 and ∠4 ; ∠2 and  ∠3

One pair of adjacent angles are ∠1 and ∠2; ∠3 and ∠4; ∠1 and ∠3; ∠2 and ∠4.

One pair of supplementary angles are ∠1 and ∠2; ∠3 and ∠4.

What are vertical angles?

When two lines intersect, there are two vertical angles.

The vertical opposite angle of ∠1 is ∠4.

The vertical opposite angle of ∠2 is ∠3.

The vertical angles are ∠1 and ∠4; ∠2 and ∠3.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end.

∠1 and ∠2 have similar vertex and side. ∠2 and ∠3 have similar vertex and side. ∠3 and ∠4 have similar vertex and side. ∠3 and ∠4 have similar vertex and side.

Angles that add up to 180 degrees are referred to as supplementary angles.

∠1 and ∠2 is linear pair, it supplementary angles.

∠2 and ∠4 is linear pair, it supplementary angles.

∠3 and ∠4 is linear pair, it supplementary angles.

∠1 and ∠3 is linear pair, it supplementary angles.

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The expression in scientific notation expressed as 10³ is equivalent to the whole number 1000

Scientific notation is the mathematical representation of a number, based on a product of a number by another base 10, raised to an exponent that indicates where is the comma or what amount of zero has this, its form is:

a×10ⁿ

To know the value of the expression 10³, we will only add the number of zeros to the one as much as the exponent has

1 0 0 0

10³ = 1000

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The 16% variability in weight can be explained by the relationship with height.

What is correlation?

In statistics, there are three different forms of correlation: positive, negative, and no correlation.

The link between two variables is said to be positive correlated when both variables move in the same direction. When one variable decline (or grows) while the other variable lowers (or increases), there is a positive perfect correlation, denoted by the number +1.

When two variables are correlated negatively, both of the variables are moving in the opposing direction. When one variable rises (or falls) while the other rises (or falls), there is a negative perfect correlation, which is symbolised by the number -1.

No correlation, which is represented by 0, means that there is no connection or reliance between the two variables.

On the basis of provided information, the correlation between the height and weight for adults is,

r = +0.4

So, the coefficient of determination is calculated as,

[tex]r^{2} = (0.40)^{2}[/tex] = 0.16 = 16%

Based on the provided information, the required answer is 16%.

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Let x be the speed of Santa's sleigh in still air and y be the speed of the wind. We can use the formula d = rt, where d is the distance traveled, r is the speed at which the sleigh is traveling, and t is the time elapsed, to find x and y.

For the first case, where Santa is flying with the wind, the distance traveled is 35 miles, the time elapsed is 5 minutes, and the speed of the sleigh is x + y. Since there are 60 minutes in an hour, the time elapsed in hours is 5 minutes / 60 minutes/hour = 1/12 hours. So, we can write the equation 35 miles = (x + y) * (1/12 hours). Solving for x + y, we get x + y = 35 miles / (1/12 hours) = 420 miles/hour.

For the second case, where Santa is flying against the wind, the distance traveled is 35 miles, the time elapsed is 7 minutes, and the speed of the sleigh is x - y. Since there are 60 minutes in an hour, the time elapsed in hours is 7 minutes / 60 minutes/hour = 7/60 hours. So, we can write the equation 35 miles = (x - y) * (7/60 hours). Solving for x - y, we get x - y = 35 miles / (7/60 hours) = 300 miles/hour.

We can solve for x and y by equating the expressions for x + y and x - y and then solving for x and y. Since x + y = 420 miles/hour and x - y = 300 miles/hour, we can add these equations together to get 2x = 720 miles/hour. Dividing both sides of the equation by 2, we get x = 360 miles/hour. We can then substitute this value for x into the equation x + y = 420 miles/hour to solve for y, giving us y = 420 miles/hour

Answer: Yes, you will make it on time

Step-by-step explanation:

The distance from San Antonio to Dallas is 274 miles

We take 274 divided by 65 = 4.2 hours or 4 hours and 12 minutes to get there at the speed of 65 mph

We have 4 1/2 hours to get there

4 1/2 hours = 4 hours 30 minutes

So, you will make it on time!

The business college wants to determine the proportion of business students who have extended time between classes. The p value for two tailored test was 0.0124

Let p represent the percentage of business students who own laptops.

As said, we must conduct the exam.

The test is a two-tailed test because the alternative hypothesis has two tails.

We presume that a normal distribution would apply in this situation.

We employ the z-test for proportion.

The two-tailed test's P-value is 2P(Z>|z|)=2P(Z>|2.5|).

=2P(Z>2.5)=2(1-P(Z<2.5)) P(Z>z)=1 - P(Zz)

=2(1-0.9938) Z-table, by

= 2(0.0062) (0.0062)

= 0.0124

Consequently, the two-tailed test's p-value was 0.0124.

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Answer:

Step-by-step explanation:

(5x )4 +(5x )3 = (10x)12

Answer:

6/4

1 2/4

1 1/2

Step-by-step explanation:

3 x 2/4 = 3/2 or 1 1/2

6/4 reduces to 3/2 as factors of 2

1 2/4 simplifies to 1 1/2

1 1/2 is equal to 3/2

For a polynomial, Leading coefficient is the coefficient of the term with the degree of polynomial. For [tex]a^{2}+bx+c[/tex] , The leading coefficient is 'a'.

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.

Example of leading coefficient are:

[tex]2x^{2}+x+1[/tex], leading coefficient=2

[tex]8x^{3}+5x^{2}+3x+1[/tex], leading coefficient =8

[tex]3x^{5}+8x^{3}+7x+6[/tex], leading coefficient = 3

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If the angle is the opposite of the shorter of the two sides, there are two potential triangles. The perpendicular angle to the shortest side is the smallest angle.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The Latin word "angulus," which means "corner," is where the term "angle" originates.

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °.

Acute, right, obtuse, and reflex angles are the other three significant types of angles.

360 degrees make up a circle.

A 720° angle indicates that the object has completed two full rotations.

There are two possible triangles if the angle is the opposite of the shorter of the two sides. The smallest angle is that which is perpendicular to the shortest side.

Therefore, if the angle is the opposite of the shorter of the two sides, there are two potential triangles. The perpendicular angle to the shortest side is the smallest angle.

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The rational root theorem is the representation of the finding rational solution of the given polynomial function.

As given in the question,

Therefore, the rational root theorem is the representation of the finding rational solution of the given polynomial function.

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Answer: ruler

Step-by-step explanation:

As per the unitary method, the value of x for the expression 4x = 64 is written as, 16.

The term unitary method in math is defined as a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here we have to find the value of x if the given expression 4x = 64.

According to the unitary method, here we have given the expression,

=> 4x = 64

Here we need to find the value of x, so we have to move the other values instead of x to the other side, then we get the expression,

=> x = 64/4

Now, we have to divide the number 64 by 4, then we get the value,

=> x = 16

Therefore, the value of x is 16.

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Here, try using this!                

Answer:

1.3

Step-by-step explanation:

After covering a distance of 160-mile rental cost of both company will become same.

Mathematical expressions with the symbols >,<, ≥ and ≤  are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. Inequalities are resolved using graphs and algebra. It is imperative that you practice the techniques described here a lot so they become second nature if you want to master them.

An inequality still exists if the same amount is added to both sides. The inequality still holds true if the same amount is subtracted from each side. An inequality still holds true if both sides are multiplied or divided by the same positive value. However, if both sides of an inequality are multiplied or divided by a negative value, the inequality is no longer valid. In actuality, the inequity is turned around.

Solving according to ques,

Let us represent distance covered be X miles.

$100+($0.30) X = $20 + ($0.80) X

subtracting $20 and ($0.30) X from both sides, we get

$80 = ($0.50) X

X = 160 mile.

So, rental costs for company will be same when bot the trucks will cover a distance of 160 mile.

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Answer:

the first 3 terms are 3 9 19

Answer:

Step-by-step explanation:

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Probability of event to happen P (E) = Number of favourable outcomes/Total Number of outcomes

In order to understand all properties of an equilateral triangles we will take a traingle ΔABC and let the side length be a,b,c and angle measures be α, β and Ф.

1. All 3 side of an equilateral triangles have same length .

   so as mentioned a=b=c.

2. All 3 angles of an equilateral triangles have same measure.

   so α=β=Ф , which shows that all angles measures same.

3. Each angles of an equilateral triangles is [tex]60^0[/tex].

4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4}*a^2[/tex]

5 . Perimeter of an equilateral triangles = 3*a

6. Any two triangle sides can add up to a length that is longer than the third side.

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A right circular cylinder's curved surface area is determined using the formula 2πrh square units.

a cylinder having two circular bases and a perpendicular line connecting the centers of the two bases.

The area with solely curved surfaces, omitting the top and bottom of the circle, is known as the curved surface area. The area of a 3D figure's solely curved portion is referred to as the curved surface area. In general, the meaning of the terms lateral surface area and curved surface area is the same. As an illustration, the lateral surface area of a cuboid is used, whereas the curved surface area of a cylinder is used when the top and base surfaces are left out.

A right circular cylinder's curved surface area is determined using the formula 2πrh square units.

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Answer:

{ X = 5} {Y = 3} pls mark brainliest

Step-by-step explanation:

Add the two equations: 4x + 7y + (x-7y) = 41 + (-16)

Remove parentheses: 4x + 7y + x-7y = 41 + -16

Cancel one variable:4x + x + = 41 + -16

Combine like terms: 5x = 41 - 16

Calculate the sum or difference: 5x = 25

Divide both sides of the equation by the coefficient of variable: x = 25/5

Cross out the common factor: X = 5

Substitute into one of the equations: 5 - 7y = -16

Rearrange unknown terms to the left side of the equation:  5 - 7y = -16 - 5

Calculate the sum or difference: -7y = -21

Divide both sides of the equation by the coefficient of variable: -21/-7

Determine the sign for multiplication or division: y = 21/7

Cross out the common factor: y = 3

The solution of the system is: { X = 5} {Y = 3}

According to the Angle-Angle-Side Postulate (AAS), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle. AAS congruence can be demonstrated with a few simple methods.

Triangles can be proved to be congruent using the methods SSS, SAS, ASA, and AAS, but SSA and AAA are invalid and cannot be utilized. The angle-angle-side theorem, or AAS, was discussed here. According to this theorem, triangles are congruent if two angles and any side of one triangle are congruent with two angles and any side of another triangle. An extension of angle-side-angle, or ASA, is this theorem.

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Answer:

316 milliliters of compound A

Step-by-step explanation:

We know for every 7milliliters, we have 4 milliliters of compound A and 3 milliliters of compound B

So, take 553 divided by 7 = 79

So, take 4 times 79 = 316 milliliters of Compound A

So, 316 milliliters of Compound A are needed!

When a person registers for SSS membership in any capacity, he/she becomes a member for life. Thus, withdrawal of membership is not possible.

Once you become a covered SSS member, you become a member for life. The contributions that you remit become savings for the future that will serve as the basis for the granting of social security benefits in times of contingencies. Membership cannot be withdrawn and contributions paid cannot refund.

Workers in the private sector are covered by social security under the Social Security System (SSS). In the event of a worker's passing, disability, illness, pregnancy, or old age, social security provides replacement income. The Social Security Act of 1954 went into effect on September 1st, 1957.

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As per the given height of the wall, the approximate weight is 149kN

The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.

Here we have given the following values,

Height = 2.76 upright

Width = 10 m

Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,

=> F = ωAx

=> F =  9810(10 × 4) × 2

=> F = 784800 N = 785KN

Now, the weight is calculated as per the Hydrostatic method as,

=> W = (1.33/7) x 785

=> W = 149 kN

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The length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

Given :

What is average?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

There were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

The average length  = 9.04 feet

The length of the line can be found as follows:

= 9.04 * 1,000,000

The length of the line  = 9,040,000 feet/5280 feet (1 mile)

= 1712.12 miles

Thus, the length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

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