NEED HELP ASAP, 40 POINTS THANKS

Given: Circle k(O), EPSK trapezoid,
KE = OS = 8
Find: Perimeter and the angles of EPSK

NEED HELP ASAP, 40 POINTS THANKSGiven: Circle K(O), EPSK Trapezoid, KE = OS = 8 Find: Perimeter And The

Answers

Answer 1

Answer:

If KE = OS then we can deduce that the trapezoid is constructed of 3 equilateral triangles and thus we can easily work out the angles.

OSK = 60

SKE = 120

KEP = 120

EPO  = 60

We can also easily work out the perimeter since we can deduce that PE = SK = KE and thus the perimeter is 5 * 8 = 40

Answer 2

The measure of ∠S, ∠K, ∠E, and ∠P is 60°, 120°, 120°, and 60°, respectively.  While the perimeter of EPSK is 40 units.

What is a Trapezoid?

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

Given KE=OS=8, but OS is the radius of the circle, therefore, it can be written as,

OS = OP = KE = OK = OE = radius of the circle = 8 units.

Since in ΔOEK all sides are equal it is an equilateral triangle therefore, the measure of the angle ∠EOK is 60°.

As the measure of the angle, ∠EOK is 60°, the measure of the angle, ∠KOS and ∠EOP will be 60° each.

Also, in ΔSOK and ΔPOE, the sides OS = OP = KE = OK = OE are equal, they are equilateral triangles as well.

Therefore, the measure of ∠KSO and ∠EPO will be 60° each.

The angles at the end of the non-parallel sides of a trapezium are supplementary. Therefore, we can write,

∠KSO + ∠SKE= 180°

∠SKE = 120°

Similarly, the measure of the ∠PEK is 120°.

Further, it is known that the measure of the sides OS=OP=PE=EK=KS = 8 units, therefore, the perimeter of the trapezium is,

Perimeter = OS + OP + PE + EK + KS = 8+8+8+8+8 = 40 units.

Hence, the measure of ∠S, ∠K, ∠E, and ∠P is 60°, 120°, 120°, and 60°, respectively.  While the perimeter of EPSK is 40 units.

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NEED HELP ASAP, 40 POINTS THANKSGiven: Circle K(O), EPSK Trapezoid, KE = OS = 8 Find: Perimeter And The

Related Questions

Which system of inequalities is graphed below?

Answers

Answer:

C.

Step-by-step explanation:

We have the parabolas:

(1) y = x² + 2 and (2) y = x² - 6

The common shaded region is below parabola (1) and above parabola (2).

Therefore y < x² + 2 and y > x² - 6

Answer:

its wrong it is a.

Step-by-step explanation:

Compare the decimals below and add <, >, or = to make the statement correct:

1.805 and 1.803

0.757 and 0.393

0.99 and 0.990

Answers

1.805>1.803

0.757>0.393

0.99<0.990

A trick is looking at each decimal place is looking from left to right and seeing which number has the most value

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

Answers

Answer:

y = (-3/7)x + 9 ( -1.5x − 3.5y = -31.5)

Step-by-step explanation:

Normally, there's a list of possible answers associated to this question, and the answer is usually in the form of  -1.5x − 3.5y = -31.5 (equivalent to  y = (-3/7)x + 9)

You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.

In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).

We see on the image that the line PQ is perpendicular to AB.  That means that its slope is -3/7.

So, we have a slope  of -3/7 and we know it passes through point P (7,6), let's see if we can find the missing term.

y = (-3/7) x + b

6 = (-3/7) 7 + b

6 = -3 + b

b = 9

So the equation of the line forming the street PQ is y = (-3/7)x + 9

Please help will give brainliest

Answers

Answer:

The domain is the set of all real numbers

ANSWER

All real numbers.

EXPLANATION

The given relation is

R={(x,y):y=-x²}

The domain refers to the x-values for which the relation is defined.

This relation is defined by the polynomial

[tex]y = - {x}^{2} [/tex]

Polynomials are defined for all real numbers.

The domain is all real numbers.

Attempt TOT
Find the mean of the following data set.
42, 45, 58, 63

Answers

Answer:

52

Step-by-step explanation:

The mean is calculated by finding the sum of all the values and dividing it by the number of values there are in total :)

42 + 45 + 58 + 63 = 208

208 ÷ 4 = 52

Find the value of x in the isosceles triangle shown

Answers

Answer:

x = 8√5

Step-by-step explanation:

The large triangle is divided into two smaller ones.  The right one has one leg of length 8, one leg of length x/2, and hypotenuse of length √80.

Appling the Pythagorean Theorem, we can find x:

8² + (x/2)² = (√80)²,

or:                              x^2

64 + x^2/4 = 80, or  ------- = 80

                                    4

Then x^2 = 320 = 64*5.  Taking the square root of both sides, we get:

x = 8√5

Is the following relation a function?
Yes
No

Answers

Answer:

NO

Step-by-step explanation:

No, it's not a function

One input has more than one output.

Answer:

No

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

From the graph for values of -4 < x < 4 we have two values.

Examples:

for x = 0 we have two values -4 and 4

Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

Answers

Answer:

[tex]\frac{35}{2}[/tex]

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]

[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Then, evaluating the expression:

[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] =  [tex]\frac{35}{2}[/tex]

a car travels 1.2 miles from point a to point b. the car then turns at point b and travels 1.8 miles to point c before heading back to point a. the distance from point point c to point a is 1.6 miles. if the cars path is represented by a triangle what angle turn

Answers

Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.

                              b² = a² + c² - 2ac(cosB)

Substituting the known values,

                         (1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)

The value of B from the equation is 48.6°.

Answer:

B = 60.6 degree

Step-by-step explanation:

Side AB, c = 1.2 miles

Side BC, a = 1.8 miles

Side CA, b = 1.6 miles

Use Cosine rule to find the angle B.

[tex]Cos B = \frac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Putting the values of a, b and c

[tex]Cos B = \frac{1.8^{2}+1.2^{2}-1.6^{2}}{2\times 1.8\times 1.2}[/tex]

[tex]Cos B = \frac{3.24+1.44-2.56}{4.32}[/tex]

[tex]Cos B = 0.491[/tex]

B = 60.6 degree

Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.

If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?

Ben could have sold no more than ____ hamburgers.

Answers

Answer:6

Step-by-step explanation:


[tex] 2 {r}^{2} - 4r - 16[/tex]

Answers

Answer:

Step-by-step explanation:

Take out a common factor of 2

2(r^2 - 2r - 8) Now factor.

2(r - 4)(r + 2)  

Answer: r=4,-2

2r^2-4r-16=0

2(r^2-2r-8)=0

2(r-4)(r+2)=0

r=4,-2

in the reaction c + o2 —> co2 which element is reduced in the reaction?

C
O2
CO2

Answers

Answer: b

Step-by-step explanation:

Answer:

B - O2

Step-by-step explanation:

The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.

Answers

Step-by-step explanation:

let the price be x before increased.

After it is increased then it becomes 1.03x

i.e. 1.03x= 720

x=699.03 which is the price after it is increased.

The question is an illustration of percentage increase, and the price before the increase is £699

How to determine the initial price?

The given parameters are:

Initial = x

Rate = 3%

New price = £720

The equation of the initial price is:

x * (1 + rate) = New price

So, we have:

x * (1 + 3%) = 720

Evaluate the sum

x * 1.03 = 720

Divide both sides by 1.03

x = 699

Hence, the price before the increase is £699

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A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 hours away. Model Susie's situation with a system of inequalities

Answers

Let y equal to

the total fare and x is the mile of taxi ride. So the equation is

Y = 0.55x + 1.75

Since Susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

X = 15 miles of

taxi ride

So the system of

inequality is

10 < 0.55x +

1.75

X > 2

how do you change y=x^2-10x-6 into vertex form

Answers

Converting to vertex form is actually pretty simple so I think you might find something to help you out here. :)

https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html

What is the solution to the set of equations in the form (a,b)

a-3b=16
a=b-2

Answers

Answer:

(-11, - 9)

Step-by-step explanation:

Given the 2 equations

a - 3b = 16 → (1)

a = b - 2 → (2)

Substitute a = b - 2 into (1)

b - 2 - 3b = 16

- 2b - 2 = 16 ( add 2 to both sides )

- 2b = 18 ( divide both sides by - 2 )

b = - 9

Substitute b = - 9 into (2) for the corresponding value of a

a = - 9 - 2 = - 11

Solution is (- 11, - 9)

help pls it's for t o m o r r o w

Answers

it's D since you're trying to find the slope/ cost per Issue you divide 63/18 which simplifies to 7/2 and as a decimal gives you 3.50 which is the number of dollars per issue.

What is the value of x , given that the two prisms are similar ?

Answers

Answer:

x = 40 units.

Step-by-step explanation:

Corresponding sides of the 2 prisms are in the same ratio , so:

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40 units.

ANSWER

The correct choice is A.

EXPLANATION

If the the two prisms are similar, then their corresponding sides are in the same proportion;

This implies that

[tex] \frac{x}{20} = \frac{6}{3} [/tex]

We simplify to get;

[tex] \frac{x}{20}=2[/tex]

We now multiply both sides by 20 yo obtain;

[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]

We simplify and multiply out to get:

[tex]x = 40[/tex]

Therefore the value of x is 40 units

Which equation when graphed has X-intercepts at (8,0) and (-2, 0) and a y-intercept at (0-48)?

Answers

Answer:

[tex]y=3x^{2}-18x-48[/tex]

Step-by-step explanation:

we know that

The equation of a vertical parabola in factored form is equal to

[tex]y=a(x-x1)(x-x2)[/tex]

where

a is a coefficient

x1 an x2 are the roots or x-intercepts

In this problem we have

[tex]x1=8,x2=-2[/tex]

substitute

[tex]y=a(x-8)(x+2)[/tex]

with the y-intercept (0,-48) find the value of a

substitute

[tex]-48=a(0-8)(0+2)[/tex]

[tex]-48=-16a[/tex]

[tex]a=3[/tex]

The equation is equal to

[tex]y=3(x-8)(x+2)\\ \\y=3(x^{2}+2x-8x-16)\\ \\ y=3(x^{2} -6x-16)\\ \\y=3x^{2}-18x-48[/tex]

Answer: fx=3(x-8)(x+2) or answer C

Step-by-step explanation:

bc i said so

explain solving systems of equations using substition?

Answers

when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?

identify the period of the graph

Answers

ANSWER

The period is 4π

EXPLANATION

The period refers to the interval on which the graph completes one full cycle.

In other words, it is the interval on which the graph repeats itself.

From the graph, the function repeats itself after every 4π units.

Therefore the period is 4π

What is the value of x?

Answers

Answer:

x = 12

Step-by-step explanation:

The 2 given angles form a straight angle and are supplementary, thus

10x - 20 + 6x + 8 = 180

16x - 12 = 180 ( add 12 to both sides )

16x = 192 ( divide both sides by 16 )

x = 12

A 15-m2 wooded area has the following: 30 ferns, 150 grass plants, and 6 oak trees. What is the population density per m2 of each of the above species?

Can someone plz help me

Answers

Answer:

See the procedure

Step-by-step explanation:

we know that

To find the population density per m² of each of the above species, divide the amount of each species by the total area

so

Ferns

[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]

Grass plants

[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]

Oaks Trees

[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]

find the solution of this system of equations 3x+7y=46 and -3x-8x=-50

Answers

Answer:

x = 6 and y =4

Step-by-step explanation:

It is given that,system of equations 3x+7y=46 and -3x-8x=-50

To find the solution

Let  3x + 7y = 46 --------(1)

-3x-8x=-50   -------(2)

eq(1) + eq(2)

3x + 7y = 46

-3x - 8x = -50

        -y = -4

y = 4

(1) ⇒  3x + 7y = 46

3x + 7*4 = 46

3x= 46 - 28

3x = 18

x = 18/3 =6

Therefore x = 6 and y = 4

Can someone help me with this

Answers

Answer:

y = 6

Step-by-step explanation:

⇒ 17 y + 2 = 5 y + 74

→ ( - 5 y from both sides )

⇒ 12 y + 2 = 74

→ ( -2 from both sides )

⇒ 12 y = 72

( ÷ by 12 on both sides )

⇒ y = 6

Answer:

y = 6

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    17*y+2-(5*y+74)=0

   Pull out like factors :

  12y - 72  =   12 • (y - 6)

Solve :    12   =  0

Add  6  to both sides of the equation :

                     y = 6

How the hell is the answer 6 or -4

One of the answers I get is -6 which is not the right one. Where the heck does that -4 come from

Answers

Answer:

The values of y is -4 and 6

Step-by-step explanation:

Solve by factoring y^2 -2y=24

We need to factorize the term y^2 -2y=24.

Rearranging:

y^2 - 2y -24 =0

For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2

We know, -6y*+4y = 24y^2 and -6y + 4y = -2y

y^2 -6y +4y -24 =0

y(y-6) +4(y-6) = 0

(y+4)(y-6)=0

Now, y+4 =0 and y-6 =0

Finding value of y,

y = -4 and y =6

So, the values of y is -4 and 6

-104=-2(1+7x)-4 answer​

Answers

Add 4 to both sides

-104 + 4 = -2(1 + 7x)

Simplify -104 + 4 to -100

-100 = -2(1 + 7x)

Divide both sides by -2

-100/-2 = 1 + 7x

Two negatives make a positive

100/2 = 1 + 7x

Simplify 100/2 to 50

50 = 1 + 7x

Subtract 1 from both sides

50 - 1 = 7x

Simplify 50 - 1 to 49

49 = 7x

Divide both sides by 7

49/7 = x

Simplify 49/7 to 7

Switch sides

Answer: x = 7

To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points
below

Which equations could Verdita use to represent the data sets?
Data Set A: Y-4x-2
Data Set B: y = x+4
Data Set A -4x-2
Data Set B: y = x-4
Data Set A y = 4x+2

Answers

Answer:

y= 4x -2

y= x + 4

Step-by-step explanation:

To find equation for Data set A  and B , pick any two points from the table

(-1,-6)  and (1,2)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]

Use point slope formula, use (1,2)

y-y1=m(x-x1)

y - 2= 4(x-1)

y-2= 4x-4 (add 2 on both sides)

y= 4x -2

(-2,2) and (0,4)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]

Use point slope formula, use (0,4)

y-y1=m(x-x1)

y - 4= 1(x-0)

y - 4=x (add 4 on both sides)

y= x + 4

Write the formula to calculate the height, h

Answers

Answer:

kg m2 / s2 is the formula

good luck!

Answer:

kg m2 / s2 is the formula

Step-by-step explanation:

find the range

3, -9, 7, -1, 5, -4, 2

Answers

Answer:

16

Step-by-step explanation:

to find the range, you have to subtract the smallest number from the biggest number.

In this case 7-(-9)

7-(-9)=16

range=16

Answer:

16

Step-by-step explanation:

The range is the difference between the greatest number and the least number.

The greatest number here is 7.

The least number here is -9

Now, Subtract the least number from the greatest number:

7 - (-9) = 16

Hence the range is 16.

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