Find the value of x

Find The Value Of X

Answers

Answer 1

Answer:

The value of [tex]x[/tex] is 2.

Step-by-step explanation:

Given that [tex]\overline{HI}[/tex] and [tex]\overline{HJ}[/tex] are secant to arcs [tex]HI[/tex] and [tex]HJ[/tex], which have the same central angles. Therefore, [tex]HI = HJ[/tex] due to symmetry:

[tex]HI = HJ[/tex] (1)

[tex]2\cdot x + 1 = 5\cdot x - 5[/tex]

[tex]3\cdot x = 6[/tex]

[tex]x = 2[/tex]

Hence, the value of [tex]x[/tex] is 2.


Related Questions

Write as an expression of factors 10x^3 + 4x ^2 - 6?

Answers

Answer: 2(5x 3+2x 2 −3)

If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.


Answers

Answer:

BC

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

630
Solve for <2.
*2 = [?]°
142
57°123°
please explain as well

Answers

Step-by-step explanation:

the total angles in the triangle are 180°

so,

63° + 57° + ∠2 = 180°

120° + ∠2 = 180°

∠2 = 180° - 120°

∠2 = 60°

#CMIIW

Please help me explain

Answers

Report this clown who put the first answer he’s trying to get your ip

*this is assuming I read her handwriting correctly

First, put the values in order from least to greatest.

2, 18, 3, 2, 9, 17, 41, 22, 25, 27, 17, 5, 4 becomes

2, 2, 3, 4, 5, 9, 17, 17, 18, 22, 25, 27, 41

The mean is the sum of all the values divided by the number of values.

2 + 2 + 3 + 4 + 5 + 9 + 17 + 17 + 18 + 22 + 25 + 27 + 41 = 192. 192/13 = 14.7692308, which rounds to 14.8

The median is the number in the middle, which is 17.

The mode is 2 AND 17, because those are the numbers that appear most often.

Range is the maximum value minus the minimum value. 41 - 2 = 39 so that is the range.

Upper quartile is the median of all the numbers to the right of 17. Median of 17, 18, 22, 25, 27, 41 is 23.5 because it is the mean of the 2 numbers in the middle.

Lower quartile is the median of all the numbers to the left of 17. Median of 2, 2, 2, 3, 4, 5, 9 is 3.5 because it is the mean of the 2 numbers in the middle.

A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5? Express your answer as a common fraction.

Answers

5/5 is including all the numbers but without 5 ,probably 4/5 I’m not sure about digits

Answer:

1/2

Step-by-step explanation:

there are 10 possible digits, 0, 1, 2, ... 9

only 5 are under five, which are 0, 1, 2, 3, and 4.

so it's 5/10, or 1/2

What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.

464.8 cm3

729.7 cm3

1,234.8 cm3

1,459.3 cm3

Answers

Answer:

V= πr^2h

Step-by-step explanation:

Given data

Note: Incomplete question

No picture/ detailed information of the cylinder was given

The dimension of a cylinder is given as

radius= r

Height = h

Although, we know that the expression for the volume of a cylinder is given as

V= πr^2h

Hence, you plug in the values of r and h into the expression above to get the volume of a cylinder

show work

Simplify this expression by combining the like terms

7y + 10 + 3y - 4 - 6y

Answers

In this problem “like terms” has two groups: one with a number and y, and one with just numbers. First I’ll rewrite the equation with the terms in a different order, grouped with like terms. Then we’ll do the math for them:

7y + 10 + 3y - 4 - 6y

= 7y + 3y - 6y + 10 - 4

= 10y - 6y + 6

= 4y + 6

Let me know if you have questions on this.

a 2.5kg mass is held above the ground and has 50 J of gravitational potential energy. the mass is then dropped and accelerates to the ground. find the speed that the mass has when it collides with the ground

Answers

Answer:

[tex]6.3m/s[/tex]

Step-by-step explanation:

Note: We will take g as 9.8 in this question.

The two equations we will use for this questions are:

[tex]G.P.E = mgh[/tex], m = mass, g = acceleration due to gravity

and the SUVAT equation: [tex]v^2=u^2+2as[/tex]

First, let's start out by finding the height from which the object is being dropped. We can do this by using the gravitational potential energy formula.

Subbing the values we have:

[tex]50 = 2.5*9.8*h[/tex]

[tex]h = 2.04[/tex] - re-arranging for the height we get a height of 2.04.

Now we will use the SUVAT equation. Let's set out the variables we have:

[tex]S=2.04\\U=0\\V=?\\A=9.8\\T=N/A[/tex]

U (initial speed) is equal to 0 because we are dropping the object from rest. Acceleration is equal to 9.8 as that is the acceleration due to gravity. The displacement (S) is the height we just worked out.

Now let's put them into one of the SUVAT equations:

[tex]v^2=u^2+2as[/tex]

[tex]v^2=(0)^2+2(9.8)(2.04)[/tex]

[tex]v^2=39.984[/tex]

[tex]v=6.3 m/s[/tex]

Find x
(Secant tangent angles)
Helppp

Answers

Answer:

x = 35

Step-by-step explanation:

The secant- secant angle x is half the difference of the intercepted arcs

The 4 arcs in the circle sum to 360° then

PQ = 360 - (104 + 104 + 111) = 360 - 319 = 41 , then

x = [tex]\frac{1}{2}[/tex] (RS - PQ) = [tex]\frac{1}{2}[/tex] (111 - 41) = 0.5 × 70 = 35

5. In the regular decagon shown, what is the measure of angle 1? *


1 point


One Exterior Angle of a REGULAR Polygon


OneEx 4 = 360


(


18 degrees


O


36 degrees


72 degrees


0


180 degrees

Answers

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

Find the exact value of tan A in simplest radical form.

Answers

Answer:

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

Explanation:

tan = opposite/adjacent

tan A = BC/AC

tan A = 5/√75

tan A = 5/√(25×3)

tan A = 5/5√3

tan A = 1/√3

tan A = 1/√3 × √3/√3 (rationalizing the denominator)

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers  

No, the Normal/large sample condition is not met.

Option C is the correct answer.

What is a t-test?

A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.

It is used when the sample size is small or the population standard deviation is unknown.

We have,

The conditions for inference in a t-test are:

Random condition:

The sample should be selected randomly from the population to ensure that the sample is representative of the population.

Normal/large sample condition:

The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.

Independence condition:

The observations in the sample should be independent of each other.

In this case,

The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.

Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.

Thus,

No, the Normal/large sample condition is not met.

Learn more about t-test here:

https://brainly.com/question/15870238

#SPJ3

Help me find the surface area :)

Answers

Answer:

Step-by-step explanation:

unknown base side = √7²+7²= √98=7√2

SA = (2×½×7×7)+ (7+7+7√2)(10)

= 49 + 140 + 70√2

= (189 + 70√2) ft²

or

= 287.99 ft²

I also got 289 as an answer

Work out the size of angle B

Answers

Answer:

61

Step-by-step explanation:

and let c looks to be a right angle

Answer:

61° hope this helps

Simplify -|-7 + 4|. how can i do and what is the answer for it

Answers

Answer:

the answer is -3, please don't click or put the link from the other answer in your browser

A rectangle has a perimeter of 46 meters and a base of 8 meters. What is the height?​

Answers

Answer:

15 metres

Step-by-step explanation:

perimeter of rectangle = 2(base + height)

=2(8+h) = 46

= 16 + 2h = 46

= 2h = 46 - 16

= 2h = 30

= h = 15

15 metres is the height of rectangle

Nicole rolls a six-sided die. What is the probability that Nicole will roll an odd number?
A.1/2
B.5/6
C.1/6
D.4/6

Answers

The odd numbers from one to six are 1,3.5 which is 3/6, when simplified it is one half. Can you mark branliest?
A.) 1/2 probability that she will roll an odd number.

What is the probability of choosing a red chip from a bag containing 3 red, 2 blue, and 5 yellow chips?

Answers

So first you have to add all of those together. So it would all add up to 10. Then you you take how many red chips (3) and put it on top of the fraction to say that there are 3 red chips in a bag of 10 (3/10) then if it has to be a percent, you divide it so 3 divided by 10 is 0.3. But then you move the decimal over 2 places to the right so it would be a 30% chance you would pull a red chip from the bag.

In ΔWXY, x = 32 inches, y = 96 inches and ∠W=16°. Find the area of ΔWXY, to the nearest square inch.

Answers

Answer:

Step-by-step explanation:

423

Simplify the expression (2 + 33)

Answers

Answer:

35

Step-by-step explanation:

Determine which statements are reasonable conclusions based on the data.
Choose Yes or No for each statement.
a. The point at (19, 14) is an outlier because it is outside the main cluster of data.
b. As the number of hits increases, the number of runs scored tends to decrease.
There is a positive linear association between the number of hits and the
number of runs scored.
d. There is a non-linear association between the number of hits and the
number of runs scored.
The point at (7, 13) is an outlier because it is the only game for which the
number of runs is greater than the number of hits.
f. If the trend continues, for a game when Tyler's team gets 20 hits, the number
of runs scored will most likely be greater than 10.
Yes No
Yes No
Yes No
curriculum Associates, 11.0
Coming permitted for classroom se
Grade Lesson 28 Scatter Plots
2

Answers

Answer:

no yes no

Step-by-step explanation:

If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards
did he mow during the rest of the week?

Answers

Answer:

I am going with zero yards.

Step-by-step explanation:

If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards

did he mow during the rest of the week?

If he mowed 14x² + 12x – 3 yards for the entire 7 days of the week.  He would not have anymore days to left in the week to mow, so he mowed ZERO more yards


In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax

Answers

Answer: $826.8

Step-by-step explanation:

First, we add the amount of money that the machines sold for:

$420 + $360 = $780

Next, we multiply it by the sales tax, 6%,

$780 x 6%(0.06) = $46.80

Finally, we add this to the total:

$780 + $46.80 = $826.80

Alternatively, you can add the total sales and multiply by 106% using the 2-step method.

Answer:

In Texas the state sales

tax rate is 6%. Beth

purchases a washing

machine at $420.00

and a dryer for

$360.00

How much will Beth's total be

including state sales tax

sin 135°=
[tex] \frac{ \sqrt{2} }{2} [/tex]
tan 135°=?​

Answers

Answer:

-1

(i got the answer from a calculator, hope it helps)

the answer should be -1

In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The results are summarized in the table below. ​

Answers

(a) 28%

(b) 24%

When calculating the total amount of people it come out to 150.

According to the table 42 people smoke. 42/150 is 28%

According to the table 36 people exercise regularly. 36/150 is 24%

Ted ate 3 pieces of the pizza. what is the area of the remaining pizza if the diameter of the pizza is 18 inches?


A. 95.4 square inches

B. 381.7 square inches

C. 159.0 square inches

D. 636.2 square inches.

Answers

Answer:

C. 159.0 square inches

Step-by-step explanation:

Given that

Ted ate 3 pieces of the pizza

We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches

Since the large circular pizza is divided into 8 equal slices

Now the radius of a pizza is

= 18 ÷ 2

= 9 inches

Now the angle subtended by each pizza is

= 360 degrees ÷ 9 inches

= 45 degrees

Now the area of the each pizza is

= [tex]\theta[/tex] ÷ 360 × πr^2

= 45 ÷ 360 × 3.14 × 9^2

= 31.7925

Now the area of the remaining pizza is

= 5 × 31.7925

= 158.9625

= 159 square inches

ILL MARK BRAINIEST IF YOU CAN DO THE RIGHT!!!

Answers

Answer:

5/2

Step-by-step explanation:

We first find the equation of the line. The slope-intercept form of a line is y = mx + b, where b is the y-intercept and m is the slope. We already know the y-intercept, which is (0,5). Therefore, our current equation is:

y = mx + 5.

We use (0,5) and (1,3) to find the slope. We subtract the two y-coordinates, 5 - 3 = 2. We subtract the x-coordinates, 0 - 1 = - 1. The slope is given as rise/run, which is (y-coordinate difference)/(x-coordinate difference. Thus, the slope is 2/-1, which is just -2. Now, we put -2 in place of m:

y = -2x + 5.

The x-intercept is when the y-coordinate is equal to 0. So we substitute 0 for y:

0 = -2x + 5

-5 = -2x

x = 5/2

PLEASE HELP!! Which of the following numbers is irrational?

Answers

A is irrational number

The perimeter of an inceles triangle is 21 meters. The length of one
sade is 3 meters longer than the length of the other two sides. Find the
length of each side

Answers

Answer:

The sides are 6, 6 and 9

Step-by-step explanation:

Isosoles triangles have two sides the same length, s

Here the third side is 3 meters longer (s + 3)

therefor the perimeter is

s + s + (s + 3) = 21

Combine like terms

3s + 3 = 21

Subtract 3 from both sides

3s = 18

Divide both sides by 3

s = 6

s + 3 = 9

The sides are 6, 6 and 9

What value of coefficient b makes the equation true for any real number x?
3(2x - 3)+ 5 = bx +9

Answers

Answer:

x=58

Step-by-step explanation:

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