I really need help doing this Constructing an Angle Bisector. please help me.

I Really Need Help Doing This Constructing An Angle Bisector. Please Help Me.

Answers

Answer 1

The bisector of angle RQP is angle PQT and angle RQT, both angles are equal and their sum is equal to angle RQP.

What is the bisector angle RQP?

Angle bisector or a bisector angle is a type of angle obtained after dividing the initial angle into two equal parts.

The bisected angle can be obtained using a pair of compass and a pencil attached to it.

To bisect the given angle RQP; we will take the following steps;

Place the compass on exactly point Q.Expand the radius of the compass such that the pencil attached to the compass will be in between R and P.Strike an arc with the pencil clock wiseStrike another arc with the pencil anti clock wise such that the two arc intersects.Draw a line from point Q to intersect the two arcs.Label the point of intersection of the two arcs TFinally, angle PQT is equal to angle RQT

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I Really Need Help Doing This Constructing An Angle Bisector. Please Help Me.

Related Questions

The length of the longer leg of a right triangle is 20cm more than twice the length of the shorter leg. The length of the hypotenuse is 22cm more than twice the length of the shorter leg. Find the side lengths of the triangle.

Answers

The side lengths would be 7.67cm, 35.34cm, and 37.34cm! Hope that was helpful!
I agree 7.67cm 35.34cm and 37.34cm

Question 4 help me on please

Answers

The true statement is that the box-plot indicates that:

more women earn more than $369 than earn less than $337 more than 50% of men earn more than $406.

Do 50% of all women earn less than the minimum weekly salary of men?

To determine the validity of this statement, we compare the minimum weekly salary of men (represented by the lower end of the box-plot whisker) to the median of women's earnings (represented by the line inside the box).

If the median of women's earnings is less than the minimum salary of men, then more than 50% of women earn less than the minimum weekly salary of men.

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For which equation would x = 3 be a solution?

8 - x = 11
x + 7 = 4
5 + x = 9
x - 2 = 1
Giving out 60 points and will mark brainliest

Answers

Answer:

Step-by-step explanation:

lets solve all the equations and check:

1 ) 8 - x = 11

 -x = 11 - 8

  x = -3 ------------- not this one

2 ) x + 7 = 4

    x = 4 - 7

    x = -3 -------------not this one

3 ) 5 + x = 9

    x = 9 - 5

    x = 4 ------------- not this one

4 ) x - 2 = 1

    x = 1 + 2

    x = 3 ----------- this is the correct option

                hope this helps!

5. A student project asked an SRS of 172 college freshman at a large university "Would you
report cheating if you witnessed it in class?" Only 19 students responded "yes".
Calculate the 97% confidence interval.
a. Point Estimate =
b. Margin of Error z
p(1-P)
n
c. Confidence Interval=
pue

Answers

The 97% confidence interval for the proportion of college freshmen who would report cheating if they witnessed it in class is (0.0728, 0.1482).

The point estimate is the proportion of students who responded "yes" out of the total sample.

In this case, the point estimate is 19/172, which is approximately 0.1105.

b. Margin of Error:

To calculate the margin of error, we need the standard deviation. Since we don't have the population standard deviation, we'll use the formula for the estimated standard deviation of a proportion:

Margin of Error (ME) = z√[(p(1 - p)) / n]

Where z is the z-score corresponding to the desired confidence level. For a 97% confidence level, the z-score is approximately 1.96, p is the point estimate of the proportion and n is the sample size.

Using the given values, we can calculate the margin of error:

ME = 1.96√[(0.1105(1 - 0.1105)) / 172]= 0.0377

c. Confidence Interval:

The confidence interval is calculated by subtracting and adding the margin of error from the point estimate.

Confidence Interval = Point Estimate ± Margin of Error

Confidence Interval = 0.1105 ± 0.0377

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Need help solving this question​

Answers

The proportion that correctly defines θ is BC/PC = DE/PE = θ.

option  C.

What is the length of the arcs?

The length of the arcs is calculated as follows;

Length of arc = (θ/360) x 2πr

where;

r is the radius of the circleθ is the central angle of the arc

For sector PCB, the length of the arc is given as;

(θ/360) x 2π(PC) = BC

(θ/360) x 2π = BC/PC

θ = BC/PC ------- (1)

Note: 2π radian = 360⁰

For sector PED, the length of the arc is given as;

(θ/360) x 2π(PE) = DE

(θ/360) x 2π = DE/PE

θ = DE/PE ------- (2)

Compare the two equations as follows;

BC/PC = DE/PE = θ

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A school district has eight elementary schools, four middle schools, and two high schools. The district’s IT manager wishes to survey teachers regarding the use of technology in the classroom. Which of the following designs would create appropriate strata?
All the teachers at the district’s junior high buildings are asked to complete a survey on the topic.
Two teachers are chosen from only one grade level at random to complete a survey on the topic.
Four teachers from each school in the district are chosen at random to complete a survey on the topic.
All the high school teachers in the district are asked to complete a survey on the topic.

Answers

The option that would create an appropriate strata is given as follows:

Four teachers from each school in the district are chosen at random to complete a survey on the topic.

How are samples classified?

Samples may be classified as follows:

A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.

An appropriate strata is created when stratified sampling is used that is, the population is divided into groups(each school in the district), and then an equal amount(four teachers from each school) is surveyed.

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Determine which of the given points are solutions to the given equation.

2x^2 + y = 4
I. (3, -14) II. (-3, 14) III. (-3, -14)

Answers

The points that are solutions to the equation [tex]2x^2 + y = 4[/tex] are:

I. (3, -14)

III. (-3, -14)

To determine which of the given points are solutions to the equation [tex]2x^2 + y = 4[/tex], we need to substitute the x and y values of each point into the equation and check if the equation holds true.

Let's evaluate each point one by one:

I. (3, -14)

Substituting x = 3 and y = -14 into the equation:

[tex]2(3)^2 + (-14) = 4[/tex]

18 - 14 = 4

4 = 4

Since both sides of the equation are equal, the point (3, -14) is a solution to the equation.

II. (-3, 14)

Substituting x = -3 and y = 14 into the equation:

[tex]2(-3)^2 + 14 = 4[/tex]

18 + 14 = 4

32 = 4

Since the equation is not satisfied (32 is not equal to 4), the point (-3, 14) is not a solution to the equation.

III. (-3, -14)

Substituting x = -3 and y = -14 into the equation:

[tex]2(-3)^2 + (-14) = 4[/tex]

18 - 14 = 4

4 = 4

Since both sides of the equation are equal, the point (-3, -14) is a solution to the equation.

In summary, the points that are solutions to the equation [tex]2x^2 + y = 4[/tex]are:

I. (3, -14)

III. (-3, -14)

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Cora wants to determine a 95 percent confidence interval for the true proportion p
of high school students in the area who attend their home basketball games. Out of n
randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.04 for p

Answers

The required sample size for a margin of error of less than 0.04 is given as follows:

n = 601.

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The margin of error is defined as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We have no estimate, hence the proportion is used as follows:

[tex]\pi = 0.5[/tex]

For a margin of error of 0.04, the sample size is obtained as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96 \times 0.5[/tex]

[tex]\sqrt{n} = \frac{1.96 \times 0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96 \times 0.5}{0.04}\right)^2[/tex]

n = 601.

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Question 2 Complex numbers. 2.1. Write the following in the form a+bi 2.1.1(2-√√-225) 3+√-18​

Answers

.1.1(2-√√-225) = 2.1.1(2-15) = 2.1.1(-13) = -27.31

To solve this problem, we first need to simplify the expression inside the parentheses. The square root of a negative number is an imaginary number, so we can write the expression as follows:

2.1.1(2-√-225) = 2.1.1(2-√(-1)(225))

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We can then simplify the expression as follows:

2.1.1(2-√(-1)(225)) = 2.1.1(2-i*15) = 2.1.1(2-15) = 2.1.1(-13) = -27.31

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The second problem is a bit more complicated. We need to use the fact that the square root of a negative number is an imaginary number. We can write the expression as follows:

3+√-18 = 3+√(-1)(18)

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We can then simplify the expression as follows:

3+√(-1)(18) = 3+i*3 = 3+3i

I need some help cant find it

Answers

Answer:

3.6

Step-by-step explanation:

Sine rule:   a/SIN A  =  b/SIN B  =   c/SIN C.

right-angled triangle, so angle N = 90°.

x/sin 32  = 6.8/sin 90

x = (6.8 X sin 32) / sin 90

= 3.6

ESTION 2 Given: T = n²-10n-30 2.1.1 Which term is the minimum?​

Answers

The minimum of this quadratic function is -55.

How to determine the axis of symmetry and the vertex of the function?

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function T = n²- 10n - 30, we have:

Axis of symmetry, Xmax = -(-10)/2(1)

Axis of symmetry, Xmax = 10/2 = 5.

For the vertex of T = n²- 10n - 30, we have:

T = n²- 10n - 30

T(5) = 5²- 10(5) - 30

T(5) = -55.

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write an equation for the line that passes through (4, -5) and (3, -2)

Answers

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 5 ) and (x₂, y₂ ) = (3, - 2 )

m = [tex]\frac{-2-(-5)}{3-4}[/tex] = [tex]\frac{-2+5}{-1}[/tex] = [tex]\frac{3}{-1}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, - 2 )

- 2 = - 3(3) + c = - 9 + c ( add 9 to both sides )

7 = c

y = - 3x + 7 ← equation of line

Add and simplify: 9sqrt(x)+3root(3)(x)+sqrt(9x)
Group of answer choices

12sqrt(x)+sqrt(9x)

18sqrt(x)+3root(3)(x)

12sqrt(x)+3root(3)(x)

15sqrt(x)

Answers

Answer:

C

Step-by-step explanation:

[tex]9\sqrt{x} + 3\sqrt{3x} + \sqrt{9x} \\= \sqrt{x} ( 9 + 3\sqrt{3}+3)\\ = 12\sqrt{x} + 3\sqrt{3x}[/tex]

Tamika Clark is the county superintendent. She travels to the
3 schools in her district every month. This month her travel
expenses include: 246 miles traveled at $0.55 per mile; meals,
$180.70; miscellaneous, $46.90. What is her total travel expense
this month?

Answers

Tamika Clark's total travel expense this month is $362.90.

Given that the supervisor for the county is Tamika Clark.

Every month, she makes the trip to the three schools in her district.

Her travel costs for this month include 246 miles at a cost of $0.55 per mile, $180.70 for meals, and $46.10 for other expenses.

We must determine the whole cost of her.

To calculate Tamika Clark's total travel expenses this month, we need to add up her expenses for miles traveled, meals, and miscellaneous items.

Miles traveled:

246 miles x $0.55 per mile = $135.30

Meals: $180.70

Miscellaneous: $46.90

Total travel expenses:

$135.30 (miles traveled) + $180.70 (meals) + $46.90 (miscellaneous) = $362.90

Therefore, Tamika Clark's total travel expense this month is $362.90.

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I need the answer for this question

Answers

The solution is; C. x² + 2x - 1 = 3 equation could be solved using this application of the quadratic formula.

Here,

Quadratic formula: x = -b±√b²-4ac/2a     [ +/-   is   ± ]    

You can find the value of a, b, c  -->  ax² + bx + c = 0  

we have,

x = -2±√2² - 4×1× -4 / 2×1    

Since this is not simplified, you can find a, b, c:

a = 1

b = 2

c = -4

A.)  x² + 1 = 2x − 3   Make the equation into ax² + bx + c = 0.

Subtract 2x on both sides, and add 3 on both sides to set the equation equal to 0

x² + 1 - 2x + 3 = 2x - 2x - 3 + 3

x² - 2x + 4 = 0      

a = 1

b = -2

c = 4    This is not the answer because b = 2 not -2, and c = -4 not 4

B.) x² - 2x − 1 = 3     Subtract 3 on both sides to set the equation = 0

x² - 2x - 4 = 0

a = 1

b = -2

c = -4      This is not the answer because b = 2 not -2

C. x² + 2x - 1 = 3    Subtract 3 on both sides to set the equation = 0

x² + 2x - 4 = 0

a = 1

b = 2

c = -4    This is your answer

D. x² + 2x - 1 = -3      Add 3 on both sides to set the equation = 0

x² + 2x + 2 = 0

a = 1

b = 2

c = 2    

This is not the answer because c = -4 not 2

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complete question:

Which equation could be solved using this application of the quadratic formula?

x = -2±√2² - 4×1× -4 / 2×1    

four times the quantity of 6 minus a number is 8

Answers

Answer:

The original number was 4.

Step-by-step explanation:

We can construct an equation to model the given situation, using a variable x to represent the original number:

"the quantity of 6 minus a number"

[tex](6 - x)[/tex]

"four times the quantity"

[tex]4(6 - x)[/tex]

"is 8"

[tex]4(6 - x) = 8[/tex]

We can solve for x in this equation.

[tex]4(6 - x) = 8[/tex]

↓ applying the distributive property ... [tex]A(B+C) = AB + AC[/tex]

[tex]24 - 4x = 8[/tex]

↓ adding 4x to both sides

[tex]24 = 8 + 4x[/tex]

↓ subtracting 8 from both sides

[tex]16 = 4x[/tex]

↓ dividing both sides by 4

[tex]4 = x[/tex]

[tex]\boxed{x = 4}[/tex]

So, the original number was 4.

The exact solution to the equation e−5x+1=2
is

Answers

Answer:

.343656

Step-by-step explanation:

e-5x+1=2

Subtract the 1 to the other side.

e-5x=1

Subtract e to the other side (e is approximately 2.718)

-5x=-1.718

Divide by -5.

x=.343656

please give me answer to this ixl!!!!!

Answers

The probability of getting at one hit is 2/5

What probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100%

Probability = sample space / total outcome

The sample space of getting at least 1 hit.

is 4.

Total outcome = 10

probability to get at least one hit = 4/10

= 2/5

Therefore the probability of getting atleast one hit is 2/5

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Can I have help please thank u

Answers

Answer:

A = 30 cm

B = 14 cm

C = 15 cm

D = 41 cm

Step-by-step explanation:

You can find A by multiplying 10 times 6 (because the other side of the square is ten and the side of A already has that 4 there it would be 6) which would be 60, then since it is a right triangle, you can divide that by two and get 30.

You can find B by multiplying 4 by 7 (because the other part of that side of the square is 3 so that part would be 7) which would be 28, then since it is a right triangle, you can divide that by two and get 14.

You can find C by multiplying 10 times 3 and getting 30, then since it is a right triangle, you can divide that by two and get 15.

You can find D by multiplying 10 by 10 (because it is a square) then you'll get 100 from that. Then you can subtract the rest of the triangles from it which would be 100 minus 30 minus 14 minus 15 and you would get 41 which would be triangle D.

Hope this helps!! Let me know if you need more explanation

You deposit $500 in an
account that earns
simple interest at an
annual rate of 5.6%.
How much money is in
the account after 3
years?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 5.6\%\to \frac{5.6}{100}\dotfill &0.056\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 500[1+(0.056)(3)] \implies A=500(1.168)\implies A = 584[/tex]

Answer:

Answer:

I = $ 84.00

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.6%/100 = 0.056 per year,

then, solving our equation

I = 500 × 0.056 × 3 = 84

I = $ 84.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 5.6% per year

for 3 years is $ 84.00.

Step-by-step explanation:

mariah bought a package of 8 cupcakes. She and her friend ate 5 of the cupcakes.
What fraction of the cupcakes did they eat and what fraction of the cupcakes were left?

Answers

Answer:

The fraction of cupcakes they ate is:

5 / 8

The fraction of cupcakes left is:

3 / 8

Stefan and Roman share some money in the ratio 5:9 which number in the ratio represents Stefans share and who will get more money

Answers

The ratio that represents Stefan's share is given as follows:

5/14.

Roman is the person that will get more money.

How to obtain the shares?

The shares are obtained applying the proportions in the context of the problem.

Stefan and Roman share some money in the ratio 5:9, hence the denominator of the fraction is given as follows:

5 + 9 = 14.

Then the shares are given as follows:

Stefan: 5/14.Roman: 9/14 -> more money, as 9 > 5.

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Fast answer + explanation

Answers

The variables in this problem are classified as follows:

Number of siblings: Discrete.Weight: Continuous.Time to answer a puzzle: Continuous.Mark out of 10 on a math test: Continuous.

What are continuous and discrete variables?

Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …

In the context of this problem, the number of siblings is the only discrete variable, as is the only variable that cannot assume decimal values.

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100 Points! State the amplitude, period, and phase shift for each function. Then graph the function. Photo attached. Thank you!

Answers

hello

the answer to the question is:

y = a tan(bx – c) + d

a = 1, b = 1, c = π/2

the midline is y = d, so y = 0 and there's no vertical shift

the vertical stretch is 1, so label the y-axis so the inflection point of the curve is 1 above the midline, 1, and the other inflection point is 1 below the midline, −1

the period is:

T = π/b ----> T = π

the phase shift is:

PS = c/b ----> PS = π/2

and also, there's no amplitude for tangent and cotangent, there is only the vertical stretch that takes the place of an amplitude

A rocket is launched in the air. Its height in feet is given by h= -16t^2 + 56t where t represents the time in seconds after launch. What is the appropriate domain for this Solution?

Answers

The domain of the function (t) in h = - 16t² + 56t should be greater than

or equal to 43.5 seconds as the height of the rocket can not be negative.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given that;

A rocket is launched into the air. Its height in feet is given by

h = - 16t² + 72t.

Where t represents time in seconds and h represents the height in feet.

We know that height can not be negative.

h ≥ 0.

So,  - 16t² + 56t ≥ 0.

- 16t² ≥ -56t.

16t² ≥ 56t.

16t ≥ 56.

t ≥ 56/16.

t ≥ 3.5 seconds.

Therefore, the domain of the function (t) in h = - 16t² + 56t should be greater than or equal to 3.5 seconds.

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need help fast i am in a math escape room

Answers

The correct options are 1) B, 2) A and 3) D.

1) The table shows the work hour and earned money of Logan we need to build an equation to relate both the variables,

So, let the earned money be y and the hour worked be h,

So,

He worked 45 hours to earn $495,

So, in one hours he earned = $495/45 = $11

Therefore, the equation that relate both the variables is,

y = 11h

2) To represent the amount Mr. Kelly pays per month; we can divide the total rent paid for the year by the number of months.

So, if his yearly rent is $12564, so per month he must be paying =

12564 / 12 = $1047

Therefore, the equation that represents the amount Mr. Kelly pays per month is: 1047m = c

3) The relation given shows the quantity of apples bought to its corresponding cost,

So, considering the point (4, 10) by which the graph passes,

So, this mean that, 4 pounds of apple cost $10,

So, 1 pound = 10/4 = $2.5

Hence the cost per pound is $2.5.

Hence the answers are 1) B, 2) A and 3) D.

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the square root of 50

Answers

Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Please help O need to know if it’s wrong tell me what’s right

Answers

Answer:

The graph of g is a reflection over the y-axis.  Let's call the points of a regular function before the reflection is done (x, y).  When a function is reflected over the y-axis, you get the opposite y values as (x, -y).  So with a point like (-2, -3), a reflection over the y-axis would give us (-2, 3), where x stays the same but y becomes the opposite.

If side a measures 30 feet and side b measures 40 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work.

Answers

Answer:

You dont have to tell me to show my work twice

Step-by-step explanation:

To find the length of side c (the hypotenuse), we will use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (a and b) is equal to the square of the hypotenuse (c).

In this case, a = 30 feet and b = 40 feet. Therefore:

c^2 = a^2 + b^2

c^2 = 30^2 + 40^2

c^2 = 900 + 1600

c^2 = 2500

c = √2500

c = 50 feet

So the length of side c (the hypotenuse) is 50 feet. To find out how many feet of flowers will be planted along side c, we need to know the perimeter of the triangle (the sum of the lengths of all three sides). The perimeter is:

Perimeter = a + b + c

Perimeter = 30 + 40 + 50

Perimeter = 120 feet

Therefore, 120 feet of flowers will be planted along side c.

Answer:   Here, side a = 30ft.

side b = 40ft.

Hence according to, Pythagoras theorem,

h²=p²+b²

where, h= hypotenuse of the triangle

            b= base of the triangle

            p= perpendicular of the triangle

Step-by-step explanation:

hypotenuse c {according to question} - c=[tex]\sqrt{a^{2} + b^{2}[/tex]

therefore, c=[tex]\sqrt{30^{2} + 40^{2} }[/tex] = 50ft. will be the answer.

Hypotenuse means the longest side of the triangle or in other words the side opposite to the 90° angle of the triangle.

I need help can someone help me

Answers

Answer:

x ≈ 12.7

Step-by-step explanation:

since the triangle is isosceles then the 2 legs are congruent, both 9

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 9² + 9² = 81 + 81 = 162 ( take square root of both sides )

x = [tex]\sqrt{162}[/tex] ≈ 12.7 ( to the nearest tenth )

Answer:

Solution is in the attached photo.

Step-by-step explanation:

This question tests on the concept of triangles, as this is an isosceles triangle, the other 2 unknown angles are the same, as well as the sine rule.

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