Mathematics High School

What is the measure of angle B in the triangle?

m∠B= [???]


A triangle labeled ABC with angle A: 120, angle B: x [unknown] and angle C as ( x+16).
What is the value of X (aka angle B.)

Answers

Answer 1
To figure this out, set up this equation:
180 = 120 + x + x + 16

Simplify: 180 = 136 + 2x
Subtract: 44 = 2x
Divide: x = 22

Answer: x (Angle B) = 22

Hope this helps!! :)

Related Questions

A light bulb manufacturing machine produces 72 light bulbs per minute. How much time would it take to make 5400 light bulbs?

Answers

(5400 bulbs)/(72 bulbs/min) = 75 min

It would take 75 minutes for the machine to make 5400 light bulbs.

Find the percent of increase from 4.5 inches to 13.5 inches.

Answers

Final answer:

To calculate the percent of increase from 4.5 inches to 13.5 inches, subtract the original value from the new value, divide by the original value, and then multiply by 100, resulting in a 200% increase.

Explanation:

To find the percent of increase from one number to another, you can use the formula: (New Value - Original Value) / Original Value × 100%. Applying this to the question, the original value is 4.5 inches, and the new value is 13.5 inches.

Calculate the increase: 13.5 - 4.5 = 9 inches.Divide the increase by the original number: 9 / 4.5 = 2.Convert this to a percentage by multiplying by 100: 2 × 100% = 200%.

Therefore, the percent of increase from 4.5 inches to 13.5 inches is 200%.

Given: ΔABC ≅ ΔFDE. . What is the length of segment DE rounded to the nearest tenth?. . 3.2. . 4.2. . 2.2. . 3.6. .

Answers

[tex]d= \sqrt{(3-2)^2 + (1-4)^2 } [/tex]
[tex]d= \sqrt{( x_{2}- x_{1})^2 + ( y_{2}- y_{1})^2 } [/tex]
[tex]d= \sqrt{(1)^2 + (-3)^2 } [/tex]
[tex]d= \sqrt{1+9 } [/tex]
[tex]d= \sqrt{10 } [/tex]
[tex]d= 3.2[/tex]
The length of segment DE is 3.2 

Answer:

The length of segment DE is 3.2  (A)

Step-by-step explanation:

In circle C, what is the value of X?

X=112 degrees
X=90 degrees
X=68 degrees
X=22 degrees

Answers

the answer should be 112 degrees

Answer:

x=22 degrees

Step-by-step explanation:

We are given a circle C

Centre is at C

A line passes through the centre makes angle x and 68 on either side

A triangle is formed with angles x, 68 and another angle at the circumference.

Since the line passing through the centre is diameter of the circle, we have

the third angle of the triangle = 90 degrees ( BY semi circle angle theorem)

In the triangle sum of three angles

=90+x+68 =180

x =22 degrees

Match each correlation coefficient with the type of association it indicates between the variables x and y.

r = 0.9
r = -1.0
r = -0.6
r = 0.1

a perfect linear association in which y increases as x increases

a perfect linear association in which y decreases as x increases

a strong linear association in which y increases as x increases

a strong linear association in which y decreases as x increases

a moderate linear association in which y increases as x increases

Answers

r = 0.9
A value of 0.9 would indicate that the correlation is positive. Since it's also close to the value 1, it would also tell us that the correlation of y and x is strong. Therefore, r = 0.9 would be a strong linear association in which y increases as x increases.

r = -1.0
Since the value of r is negative, this would mean that the correlation is also negative. Furthermore, the value of r is also at the minimum point which is -1.0 thus this would tell us that the correlation is a perfect linear association in which y decreases as x increases.

r = -0.6
Likewise, this r value is also negative thus allowing us to know that y will decrease as x increases. The value of r, which is -0.6, is also close to -1.0. This allows us to tell that it is a strong relationship. Therefore, r = -0.6 is a strong linear association in which y decreases as x increases.

r = 0.1
For this correlation, the r value is positive. This would indicate that the value of y will increase as x increases. Since the r value is only 0.1, we cannot say that it is a strong relationship since it is far from the maximum value for a perfect relationship which is 1. Therefore, r = 0.1 is a moderate linear association in which y increases as x increases.

r = 0.9 (a strong linear association in which y increases as x increases)

r = -1.0 (a perfect linear association in which y decreases as x increases)

r = -0.6 (a moderate linear association in which y decreases as x increases)

r = 0.1 (no linear association or a very weak association)

What is the domain of y = cos θ?
A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

Answer:

Option C - All real numbers                                      

Step-by-step explanation:

Given : Function [tex]y=\cos \theta[/tex]

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

[tex]y=\cos \theta[/tex]

We know, for any value of [tex]\theta[/tex] the function  [tex]y=\cos \theta[/tex] is defined.

Which means the set of all real numbers defined the given function i.e. [tex]x\in(-\infty,\infty)[/tex]

Therefore, Option C is correct.

The domain of  [tex]y=\cos \theta[/tex] is all real numbers.

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4-hour job, for instance, is $ 32.

Answers

Final answer:

Carolina's charges can be represented by the linear equation y = 8 + 6x, where x represents hours worked and y represents the total fee charged for the service.

Explanation:

The subject this question pertains to is Mathematics, specifically linear equations. Carolina's job can be modelled by a linear equation, where the independent variable is the number of hours worked and the dependent variable is the total fee charged.

In this case, Carolina charges an initial flat fee plus $6 per hour worked. Her total charge for a 4-hour job is $32, which means her initial fee can be deduced by subtracting four times her per-hour fee from the total fee, that is $32 - 4*$6 = $32 - $24 = $8. Therefore, the linear equation that models Carolina's job is y = 8 + 6x, where x is the number of hours worked and y is the total fee charged.

This is similar to the linear equation that represents Svetlana's tutoring job in Example 12.4, where each tutoring session earns her a one-time fee of $25 plus $15 per hour of tutoring, modeled by the equation y = 25 + 15x.

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The expanded form 700,000 + 10,000+9 represents the whole number. 701,309. 713,009. 710,309. 713,090.

Answers

it represents the whole number 710,009

Find a rational number that is between 9.5 and 9.7

Answers

Hello!

I think a rational number between 9.5 and 9.7 could be 9.6. 

Enjoy.
~Isabella

Answer:

9.6

Step-by-step explanation:

It is a rational number as it has terminating decimal expansion

one method of estimating is to

Answers

One way of estimating is to Round the numbers to the nearest whole number.

Hope this helps!
The answer is "A" because whenever you round (up or down) you are only changing the value a teeny bit, which only matters if you want to measure an exact amount of something. Using a calculator gives you the exact answer. Guess and check really doesn't work because there are ∞ numbers. Any answer is not fine because if the answer is 5 and you answer with 9633, that answer is obviously wrong. So, A is right.

Mark has 36 drawings of horses and 4 drawings of spaceships. write and solve an equation to find how many times as many drawings of horses he has as spaceships.

Answers

We need to find how many horses there are for one spaceship. So, we can set up our equation like:

4x = 36

Dividing both sides by 4:

x = 9

Hope this helps!
36 divided by 4 = 9
(I need 20 letters)

Given f(x) = 3x+4 . What is f(8)

Answers

If x=8 {f(8)=3x+4}, the answer is 28.


Comment the correct answer. 
it would be substitution then solving. step by step.

f(x)=3x+4
f(8)=3(8)+4
f(8)= 24+4
f(8)=28
hope that helps!!

Find an nth degree polynomial function with real coefficients satisfying the given conditions. calculator

Answers

what this question makes no sence
Final answer:

To find an nth-degree polynomial function with real coefficients given certain conditions, we can write the polynomial as a product of its linear factors using the given roots.

Explanation:

To find an nth-degree polynomial function with real coefficients, we need to use the given conditions. Let's say the conditions include the roots of the polynomial. If we have n distinct real roots, the polynomial will have n factors. So, if the roots are a, b, c, ..., we can write the polynomial as P(x) = (x - a)(x - b)(x - c)...

Example:

To find a quadratic polynomial with roots 2 and -3, we can write the polynomial as P(x) = (x - 2)(x - (-3)) = (x - 2)(x + 3) = x² + x - 6.

Similarly, for higher-degree polynomials, we use the same approach. We write the polynomial as a product of its linear factors using the given roots.

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1. Solve the equation. -4x = 0
X = -4
X = 4
X = 0
X = 1

2. decide whether the given number is a solution of the given equation. Is 8 a solution of y + 9 = 17 ?
Yes or no

3. simplify the expression by combining like terms. 10x - x - 2x - x
8x
x² + 8x
6x
-x2 + 8x

4. Name the property shown. 12x( y ) = 12(xy)

Answers

1. is x=4 
2. is yes 
3. is 6x
4. is  associative property of multiplication
 

The ordered pairs below represent a function

(-2,-17.5),(5,8.75),(0,-10),(-1,-13.75),(3,1.25)

What is the rate of change of the function?Round to the nearest hundreth if necessary. PLEASE HELP ASAP WILL AWARD BRAINLIEST!!!

Answers

Answer: The rate of change (or slope) is 3.75.

If you plot the points, you will see that they are linear. The rate of change is equal to the slope between the points. Since the slope is the same between all of them, pick two points and find the slope.

(8.75 - (-17.5) / ( 5 - (-2))
26.25 / 7
3.75

Answer:

The answer is 3.75.

Step-by-step explanation:

I did this before

Javier bought a 20 oz smoothie that contains 450 total calories how many calories does a smoothie contain per ounce

Answers

20 oz = 450 calories
1 oz = 450 ÷ 20 
1 oz = 22.5 calories

Carpet sells for $3 per square foot and will cost you $810 to recarpet your rectangular room. if your room is 18 feet long, how many feet wide is it?

Answers

$810 ÷ 3 = 270 square feet
Area of the room is 270 square feet.

Area = 270 square feet,  length = 18 feet

Area = Length x Width
270 = 18 x width
Width = 280 ÷ 18
Width = 15 feet

The room is 15 feet wide.

123456780-646472.657

Answers

122,810,307.343 is the answer

orginal price is 82$ the sales price is 65.60 what is the discount

Answers

You have to use the equation to find the sales price, but just put x as the discount. The number we find is not going to be the discount though. It’s gonna help us find it.
82x=65.6
65.6/82=x
X=.8
So, you can say he got the item for 80%, but I suggest saying is was a 20% discount. You are taking 20 percent of 82 and subtracting it.
82•.2=16.4
82-16.4=65.6
So it was a 20% discount.

What exponential function is the best fit for the data in the table?

x f(x)
2 −3
3 0
4 12
f(x) = 4(4)x − 1 + 4
f(x) = 4(4)x − 1 − 4
f(x) = one fourth(4)x − 1 + 4
f(x) = one fourth(4)x − 1 − 4

Answers

Answer: fourth option

[tex] \frac{1}{4} 4^{x-1}-4[/tex]

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.

Which graph represents the function on the interval [−3, 3] ?

Answers

floor(0) -3 = -3 . . . . . only the left-side graphs have this point

floor(0.1) -3 = -3 . . . . only the lower-left graph has this point.

The lower-left selection is appropriate.

Suppose you invest $500 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after 15 years? (1 point)

$1,671.74
$17,028.75
$1,710.61
$8,140.92

Answers

(1.082)^15(500)=$ 1,630.71. I do not see this figure as an option, but it is the correct response.
The formula to find the amount with principal P, rate of interest r and time t when it is compounded continuously is 
A=Pe^(rt)
 P=$500 r=8.2% n=15
 A=500*e^(0.082*15)
  =500*e^1.23
 = 1710.61476814
 Rounding off to the nearest hundredths, we have
 A= $1,710.61

Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth. 0.01

Answers

Round your answer to the nearest tenth.. Answer= 0.3


The Margin of error for a 95% confidence level will be ..
Answer= greater than 0.3

Answer:

The margin of error assuming a 90% confidence level is 0.3

Step-by-step explanation:

Size of the sample: n=320

Mean: m=24

Standard deviation: s=2.9

Confidence interval: 90%

100(1-α)=90

Solving for α: Dividing by 100 both sides of the equation above:

100(1-α)/100=90/100

1-α=0.9

Subtracting 1 both sides of the equation:

1-α-1=0.9-1

-α=-0.1

Multiplying the equation by -1:

(-1)(-α=-0.1)

α=0.1


n= [z(1-α/2) s / E]^2

where E is the margin of error

z(1-α/2)=z(1-0.1/2)=z(1-0.05)=z(0.95)=1.64 (Table standard normal distribution)

z(1-α/2)=1.64

Replacing the known values in the equation above:

320= [(1.64) (2.9) / E]^2

320= (4.756/ E)^2

Solving for E: Square root both sides of the equation:

sqrt(320)=sqrt[ (4.756/ E)^2]

17.88854382=4.756/E

Cross multiplication:

17.88854382 E = 4.756

Dividing both sides of the equation by 17.88854382:

17.88854382 E / 17.88854382 = 4.756 / 17.88854382

E=0.265868486

Rounding tho the nearest tenth:

E=0.3


PLZ HELP ASAP WILL GIVE BRAINLIEST ANSWER!!!!!

What do you predict the current will be in the absence of sunlight?

Answers

if there's no sunlight how will it produce current.
 

If tan x=a/4 and cos x=4/b what is the value of sin x?

Answers

[tex]cos(x) = \frac{4}{b} \\ \\ tan(x) = \frac{sin(x)}{cos(x)} = \frac{a}{4} \\ \\ substitute... \frac{4}{b} ...for ...cos(x) \\ \\ \frac{sin(x)}{ \frac{4}{b} } = \frac{b*sin(x)}{4} = \frac{a}{4} \\ \\ b*sin(x) = a \\ \\ sin(x) = \frac{a}{b} [/tex]
Final answer:

The value of sin x is sqrt(b^2 - 16)/16.

Explanation:

To find the value of sin x, we can use the trigonometric identity: sin^2(x) + cos^2(x) = 1.

Given that tan x = a/4 and cos x = 4/b, we can use the Pythagorean identity (1 + tan^2(x) = sec^2(x)) to find the value of sin x:

1 + (a/4)^2 = (4/b)^2

Simplifying the equation, we get: 1 + a^2/16 = 16/b^2Multiplying both sides by 16, we get: 16 + a^2 = 256/b^2Substituting the value of cos x, we get: 16 + a^2 = 256/(16/b^2)Further simplifying, we get: 16 + a^2 = 16b^2/16Cross multiplying, we get: 16 + a^2 = b^2Substituting the value of tan x, we get: 16 + (4a)^2 = b^2Simplifying the equation, we get: 16 + 16a^2 = b^2Subtracting 16 from both sides, we get: 16a^2 = b^2 - 16Taking the square root of both sides, we get: 4a = sqrt(b^2 - 16)Dividing both sides by 4, we get: a = sqrt(b^2 - 16)/4

Substituting the value of a in the equation sin x = a/4, we get: sin x = sqrt(b^2 - 16)/16

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PLEASE HELP ME ON THIS

Answers

I believe it’s c bro
It's C) 221 = 22h + 45

The number of hours it will take is :
22h = 221-45
22h = 176
h = 176/22
h=8
so it takes them 8 more hours to finish learning the song.

In the figure, line TU is tangent to the circle at point U. Use the figure to answer both of the questions. Show all of your work.

(a) Describe the relationship among the lengths of the segments formed by the secant, RT , and the tangent segment, TU. You may use words and/or an equation to describe.

(b) Suppose RT= 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not.

Answers

a) By the secant rules for circles,
  RT×ST = TU²

b) Using the above relationship, fill in the given values and solve for TU.
  (9 in)×(4 in) = TU²
  TU = √(36 in²) = 6 in

Answer:

(a) The relation is RT × ST = TU²

(b) TU = 6

Step-by-step explanation:

(a) There is a secant law for circles that says the following: "if two secants are drawn to a circle from one exterior point, then the product of the external segment and the total length of each secant are equal". Applying this for the mentioned question, we have that RT × ST = TU x TU = TU² (considering that for TU case, the tangent is also a secant).

Then RT × ST = TU²

(b) Let's apply the equation in (a). RT × ST = TU² means 9 × 4 = TU²

Solving that equation, we have TU = √36 = 6

Thus TU = 6

Use the quadratic formula to find both solutions to the quadratic equation given below 2x^2-3x+1=0

Answers

-2   +   -1   =   -3
(2x2 - 3x) + 1 = 0
(x - 1) • (2x - 1) = 0
x-1=0
x = 1 

Answer:

[tex]x_1=1\\x_2=\frac{1}{2} =0.5[/tex]

Step-by-step explanation:

Given a equation of the form:

[tex]ax^2+bx+c=0[/tex]

The roots of this equation can be found using the quadratic formula which is given by:

[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

In this case we have this equation:

[tex]2x^2-3x+1=0[/tex]

So:

[tex]a=2\\b=-3\\c=1[/tex]

Using the the quadratic equation :

[tex]x= \frac{-(-3)\pm\sqrt{(-3)^{2}-4(2)(1) } }{2(2)} = \frac{3\pm\sqrt{9-8 } }{4}=\frac{3\pm 1}{4}[/tex]

Therefore the two roots would be:

[tex]x_1=\frac{3+ 1}{4}=\frac{4}{4}= 1\\x_2=\frac{3- 1}{4}=\frac{2}{4}=\frac{1}{2}=0.5[/tex]

what is the y- coordinate of the y- intercept of the line that passes through the points (-4,-4) and (4,8)

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -4 &,& -4~) % (c,d) &&(~ 4 &,& 8~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-4)}{4-(-4)}\implies \cfrac{8+4}{4+4}\implies \cfrac{12}{8}\implies \cfrac{3}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}y-(-4)=\cfrac{3}{2}[x-(-4)] \\\\\\ y+4=\cfrac{3}{2}(x+4)\implies y+4=\cfrac{3}{2}x+6\implies y=\stackrel{slope}{\cfrac{3}{2}}x\stackrel{y-intercept}{+2}[/tex]

notice the slope-intercept form, that's the y-coordinate.

Analyze the graph of the quadratic function that contains the points (0,-2), (1,0) and (3,10). Create the equation of the function given the three points.

Answers

Graph the points (0,-2) , (1,0) , and (3,10). What did you notice?
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