This is an example of a(n)

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Answer:

1 hundreths is 10 times greater than 1 thousandths.

Step-by-step explanation:

just like 100 is ten times greater than 10.

Answer:

1 hundredth is 10x greater than 1 thousandth.

Step-by-step explanation:

1/1000 * 10 = 10/1000

10/1000 = 1/100

Answer:

he has to run another 1/3 of the race for it to equal 6 kilometer all together

Step-by-step explanation:

hope this helps

Answer:

3/25

Step-by-step explanation:

12% is equal to 0.12, which is equal to 12/100.

Simplify.

12/100

Divide numerator and denominator by 2.

6/50

Divide numerator and denominator by 2.

3/25.

The number of tickets that will be sold is 5560.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets sold will be = 94520/17 = 5560.

Hence, the number of tickets that will be sold is 5560.

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The value of x in the given diagram is 12.

option C.

The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;

The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.

the angle at circumference = 360 - (6 + 20x)

tangent angle = 4x + 9

360 - (6 + 20x) = 2 (4x + 9)

360 - 6 - 20x = 8x + 18

-28x = -336

x = 336/28

x = 12

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\( \sqrt[3]{64} = 4 \\ \sqrt[3]{125} = 5 \\ 4 \times 5 = 20 \)

\(64 \times 125 = 8000 \\ \sqrt[3]{8000} = 20\)

Answer:

254

:D :D :D :D

Both triangles are not congruent, to be congruent all 3 sides must be equal. They only have 2 equal sides

59 and 41

And one different side

19 ≠ 20

Not congruent

Answer:

Step-by-step explanation:

2(x-3) + 21 = -3

So:

My first step is to open the brackets

2x - 6 + 21 = -3

Then I plus two numbers in the equation:

2x + 15 = -3

Third step is: 2x = -3 - 15

2x = -18

The value of x that makes the equation true is:

x = -18/2

x = -9

This question is based on the simple calculation. Therefore, the expression is equivalent to  1/3x+1/4-2/3x = -1/3x+1/4 .

Given: 1/3x+1/4-2/3x

We need to determined an expression that is equivalent to =

1/3x+1/4-2/3x  = 1/3x-2/3x+1/4

                        =  -1/3x+1/4

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

An expression is a number, a variable, or a combination of numbers and variables and operator symbols. An equation consists of two expressions joined by an equal sign. Word example:  sum of 8 and 3. Word example: The sum of 8 and 3 equals 11. Expression: 8 3.

There are three types of expressions:

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Random Reply:

Indeed, so they have.

Step-by-step explanation:

The given system of equations are ,

Solving (1) :-

=> -3x + 3y = 3

=> -3( x - y ) = 3

=> x - y = 3/-3

=> x - y = -1

=> x = y + 1

Put this value in (2)

=> -5(y+1) + y = 13

=> -5y -5 + y = 13

=> -4y = 18

=> y = 18/-4

=> y = -9/2 = -4.5

Finding x :-

=> x = -4.5 + 1

=> x = -3.5

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

Step-by-step explanation:

Calculate the drop-out rate given the data:

  125/1767  x 100% = 7.1 %   drop out rate     <==== indicates it might be increasing since it is greater than the usual 6.5 % drop out rate.

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

(-2, -2)

Step-by-step explanation:

Step-by-step explanation:

(x - 3)/x = -8/(x + 3) , x ≠ 0 or -3

(x - 3)(x + 3) = -8x

x² - 9 = -8x

x² + 8x - 9 = 0

x² + 9x - x - 9 = 0

x(x + 9) - 1(x + 9) = 0

(x + 9)(x - 1) = 0

x = -9

x = 1

x ≠ 0 or -3

-9 ≠ 0 or 3 PROVED

x ≠ 0 or -3

1 ≠ 0 or -3 PROVED

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

0.1354

Step-by-step explanation:

Relevant data provided as per the requirement is shown below:-

Female probability of age between 55 to 69 = 2058

Male probability of age between 55 to 69 = 4571

According to the given situation, the calculation of probability is shown below:-

\(= \frac{Female\ from\ 55\ to\ 69 }{Total\ female}\)

where,

Total female is

= 143 + 2333 + 4027 + 5178 + 2058 + 1459

= 15,198

And, the female is 2058

So, the probability is

\(= \frac{2058}{15,198}\)

= 0.1354

Therefore for computing the probability of female that lies between 55 to 69 we simply applied the above formula.

The value of m such that x +4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

It follows from the task content that the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16 is to be determined.

Hence, if x + 4 is a factor, it follows that x = -4 is a zero of the expression.

Therefore; 5(-4)³ + 18(-4)² + m(-4) + 16 = 0.

-320 + 288 - 4m + 16 = 0.

-16 - 4m = 0

4m = -16

m = -16/4

m = -4.

Ultimately, the value of m for which x+4 is a factor of 5x³ + 18x² + mx + 16 is; -4.

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Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above

The equation 2 (p+ 7) = 4 - 8p has only one solution that is; -9.

We know that solution of an equation refers usually to the values of the variables involved in that equation that if substituted in place of that variable would give a true mathematical statement.

We need to determine the solutions does the equation 2 (p+ 7) = 4 - 8p have;

Now solving for p,

2 (p+ 7) = 4 - 8

Open the bracket,

2p+ 14 = 4 - 8

Combine the like terms,

2p = -4 - 14

2p = -18

p = -18/2 = -9

Therefore, the equation has only one solution which is -9.

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It is given that there is deck of cards

There are 52 cards.

Among them there are 4 cards which are numbered 5.

Hence in first draw, the number posibilities is 4.

Hence the probability is

Similarly in the second draw the number of possibilites is 4 since the card is replaced.

Hence the probability is

Hence for five draws, the probability is

\(x_{1} =-0.1705\\\\x_{2} =0.7330\).

\(5(\frac{3x}{2-4x} )+15=-12x+12\)

\(\frac{(5)(3x)}{2-4x} +15=-12x+12\\ \\\frac{15x}{2-4x} +15=-12x+12\)

\(\frac{15x}{2-4x} +15-15=-12x+12-15\\ \\\frac{15x}{2-4x}=-12x-3\)

\(\frac{15x}{2-4x} (2-4x)=(-12x-3)(2-4x)\\ \\15x=(-12x)(2)+(-12x)(-4x)+(-3)(2)+(-3)(-4x)\\ \\15x=(-24x)+(48x^{2} )+(-6)+(12x)\\ \\15x=-24x+48x^{2}-6+12x\\ \\15x=48x^{2}-12x-6\)

\(15x+12x=48x^{2}-12x-6+12x\\ \\27x=48x^{2}-6\)

\(-48x^{2}+27x+6=0\)

Check the attached image to see how to identify these coefficients.

a= -48;

b= 27;

c= 6.

\(x_{1} =\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)}\\ \\x_{1} =-0.1705\)

\(x_{2} =\frac{-(51)-\sqrt{(51)^{2} -4(36)(6)} }{2(36)}\\ \\x_{2} =0.7330\)

If the answers are correct, both sides of the equation should return the same value when substituting any of the x values and calculating.

\(5(\frac{3(\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})}{2-4(\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})} )+15=-12(\frac{-(27)+\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})+12\\\\14.04631211=14.04631211\)

That's correct.

\(5(\frac{3(\frac{-(27)-\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})}{2-4(\frac{-(27)-\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})} )+15=-12(\frac{-(27)-\sqrt{(27)^{2} -4(-48)(6)} }{2(-48)})+12\\ \\3.203687889=3.203687889\)

That's correct.

Check attached image 2 to see the proof of these calculations.

Hence, x₁=-0.1705 and x₂=0.7330 are the correct answers.

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Answer:

Hey there!

The perimeter can be expressed as 140+140+68\(\pi\)

This is equal to 493.52 m

Hope this helps :)

Answer:

=31r712827−2412o7407

Step-by-step explanation:

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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