find the value of the variable and the length of each chord. round your answers to the nearest tenth

Find The Value Of The Variable And The Length Of Each Chord. Round Your Answers To The Nearest Tenth

Answers

Answer 1

Answer:

x = 3, JL = 17, MN = 13

Step-by-step explanation:

Given 2 intersecting chords in a circle , then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

14x = 7 × 6 = 42 ( divide both sides by 14 )

x = 3

Then

JL = x + 14 = 3 + 14 = 17

MN = 6 + 7 = 13


Related Questions

El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?

Answers

Answer:

20% de 240=20×240÷100= 48 practican deporte

A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.

Answers

Answer:

b = 2a + 3

Step-by-step explanation:

Here, we want to write an expression for b in terms of a

Mathematically, the formula for the slope of a line is

m = (y2-y1)/(x2-x1)

m is 2

(x1,y1) = (-1,1)

(x2,y2) = (a,b)

Substituting these values

2 = (b-1)/(a-(-1))

2 = b-1/a + 1

2(a + 1) = b-1

2a + 2 = b- 1

2a + 2 + 1 = b

b = 2a + 3

Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9

Answers

Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

Factor the trinomial below.
x^2+4x-12

Answers

Answer:

(x+6)(x-2)

Step-by-step explanation:

using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2

Answer:

(x+6)(x-2) A P E X :)

Which statements is true about figure DEF?

(I NEED HELP PLEASE)
ITS DUE TODAY

Answers

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.​

Answers

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

What is square root?

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done

Answers

Answer:

[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form

[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

[tex]\frac{6^7}{6^4}[/tex]

Required

- Express the exponents in expanded form

- Divide common factors

We have:

[tex]\frac{6^7}{6^4}[/tex]

In indices:

[tex]x^2 = x * x[/tex]

So, the above expression becomes:

[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide the common factors, to give:

[tex]\frac{6^7}{6^4} = 6*6*6[/tex]

Express as an exponent

In indices;

[tex]x * x * x = x^3[/tex]

So, we have:

[tex]\frac{6^7}{6^4} = 6^3[/tex]

The simplified power is [tex]6^3[/tex] and 3 is the exponent

A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.

Answers

Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

What is the vertex of y=-5(x+3)^2+5

Answers

Answer:

(-3,5)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex.


A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)​

Answers

If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:

(120 N) cos(30°) = 60 √3 N ≈ 103.923 N

Then the work done by the boy on the mower over a distance of 12.8 m is

(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J

what is the slope of the line?

Answers

Answer: -3/2

Step-by-step explanation:

rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.

find the area of the pentagon in the diagram below.



15 square inches

20 square inches

25 square inches

28 square inches

Answers

The answer is 28 square inches I think

The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

perform the indicated operation

1.(3x+8)+4x-3)
2.(7x-8)-(2x+4)
3.(5x2-8x+6)-(3x2-3x+2)

Answers

Answer:

1. 7x+5 2.5x-12. 3.2x^2+5x+4

Step-by-step explanation:

if you look up mathaway and put the equations in. it will tell you all the steps. hope this helps.

Answer:

hmmmmmmm

Step-by-step explanation:

o9ooooooooooooooo

find the height of a cone with a volume of 21ft and a radius of 4ft​

Answers

here's the solution,

volume of cone :

=》

[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

=》

[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]

=》

[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]

=》

[tex]h = 1.253[/tex]

height = 1.25 ft (approximate)

Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1.
a) For di = X - Y , what does it mean for d; to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?

Answers

Answer:

the answer is either B or C i beloeve

PLEASE HELP I really need help please heplp

Answers

Answer:

im not sure but i think its A

Step-by-step explanation:

Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?

Answers

Answer:

Total rent= $900

Step-by-step explanation:

Giving the following information:

Total monthly budget= $3,000

Percentage of rent in the budget= 30%

To calculate the monetary value paid in rent, we need to use the following formula:

Total rent= percentage of rent paid*total monthly budget

Total rent= 0.3*3,000

Total rent= $900

can someone plz help answer this?

Answers

Answer is 33 since the scale factor is 1.5, you get that by dividing similar sides. An example would be SO is equal to side GN so dividing 39 and 26 together would get you 1.5 and you would use this to find the missing length.

Show all work to factor x4 – 10x^2 + 9 completely.

Answers

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

it is a fourth degree trinomial

1) find two number whose sum is -10 and whose product is 9

the two numbers are -1 and -9

2) write the trinomial as a multiplication in this way

(x^2-1)(x^2-9)

3) the two factors are both a difference of tho squares.

so we can rewrite it as

(x+1)(x-1)(x+3)(x-3)

Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?

Answers

Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.

7.50

B.

7.00

C.

7.25

D.

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer

mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent​

Answers

Answer:

761.54$

Step-by-step explanation:

Step-by-step explanation:

the answer is £761.54

if I am right plz give brainliest

Use the series below to answer the following questions.

Answers

Answer:

a1=4, r=5, n=6

Step-by-step explanation:

got it correct on edge

b= first option

c= 15,624

Answer:

a1=4, r=5, n=6

b= first option

c= 15,624

Step-by-step explanation:

It is right on edge

Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.

Answers

Answer:

$10,000= sales

Step-by-step explanation:

Giving the following information:

Commission rate= 6%

Desired total earnings= $600

To calculate the sales level required to reach the objective, we need to use the following formula:

Desired earning= commission rate*sales

600= 0.06*sales

600/0.06= sales

$10,000= sales

The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.

Answers

Answer:

6.7%

Step-by-step explanation:

Mean = 32.7

Standard deviation = 1.8

Percentage of employees younger Than 30 years

Obtained the Standardized age, x < 30

Z = (x - mean) / standard deviation

Z = (30 - 32.7) / 1.8

Z = - 2.7 / 1.8

Z = - 1.5

Obtain the probability :

Using a Z probability calculator or standard normal table :

P(Z < - 1.5) = 0.066807

0.066807 * 100% = 6.7%

Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?

Answers

1) sometimes
2)always
3)never

Is yiur answer

Find the equation of the line shown

Answers

Answer:

y=x+1

Step-by-step explanation:

i hope this helps :)

Answer:

y=x+1

Step-by-step explanation:

The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1

-6x+4y=-12 in slope intercept form

Answers

Slope intercept form is y=Mx+b
First add 6x to each side
Then you get 4y=6x-12
Next divide each side by 4 to get y alone.
Then you get y= 6/4x-3.

The slope intercept form is y= 3/2 x - 3.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have the Equation as

-6x + 4y= -12

As, the slope intercept form is y= mx+ b

So, 4y= -12 + 6x

y= -12/4 + 6/4x

y = -3 + 3/2x

y= 3/2 x - 3

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please help find median and mean of each data display.

Answers

Answer:

median: 60

mean:44

Step-by-step explanation:

80-20=60

30+50+80+40+20=220

220÷5=44

Please help! :D Pic is below and dont send links-

Answers

Answer:

Frogs : 7, 14, 28

Turtles : 3, 6, 12

Step-by-step explanation:

Multiply equivalently with the same multiple.

Equivalent ratios : (7 : 14) (6 : 12)

Answer:

7*2=14

14*2=28

3*2=6

6*2=12

7/3

14/6

28/12

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