find the value of each variable and the measure of each angle​

Find The Value Of Each Variable And The Measure Of Each Angle

Answers

Answer 1

Answer:

Left angle = 60°

Top angle = 120°

Right angle = 60°

Step-by-step explanation:

Use what you know about angle relationships to set up equations you can solve for each variable.

The top top angle, for example, added to one of the other angles must equal 180° because they are supplementary.

You have two variables, so you need at least two equations (I made three but only used two).

The work is in my attachment, comment of you have questions.

Find The Value Of Each Variable And The Measure Of Each Angle

Related Questions

If is an angle bisector of ∠QOR and ∠QOP = 71°, then find the angle measure of ∠QOR. Question 8 options: A) 71° B) 142° C) 35.5° D) 35°

Answers

Answer:  B. 142°.

Step-by-step explanation:

Given: OP is an angle bisector of ∠QOR and ∠QOP = 71°.

We know that an angle bisector divides an angle into two equal parts.

So, if OP is an angle bisector of ∠QOR and ∠QOP = 71°.

Then, the angle measure of ∠QOR = Twice of ∠QOP

⇒ Angle measure of ∠QOR = 2 (71°)

⇒ Angle measure of ∠QOR = 142°

Hence, correct option is B. 142°.

12. 12 ounces is roughly the same as
O A. 340 grams.
B. 356 grams.
O C. 400 grams.
O D. 120 grams.
Mark for review (Will be highlighted on the movin

Answers

Answer:

A. 340 grams

Step-by-step explanation:

My brain

AC is included between __________

Answers

Answer:

AC is included between <A and <C.

Step-by-step explanation:

i think, not sure tho

In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

Answers

Answer:

2.7 in²

Step-by-step explanation:

Given that ∆BAC ~ is similar to ∆EDF, the ratio of the area of ∆BAC to the area of ∆EDF = the square of the ratio of their corresponding sides.

Thus, let x be the area of ∆EDF

[tex] \frac{6}{x} = (\frac{3}{2})^2 [/tex]

[tex] \frac{6}{x} = \frac{9}{4} [/tex]

Cross multiply

[tex] x*9 = 4*6 [/tex]

[tex] 9x = 24 [/tex]

[tex] \frac{9x}{9} = \frac{24}{9} [/tex]

[tex] x = 2.67 [/tex]

Area of ∆EDF = 2.7 in²

This??? What is wrong with it?

Answers

Answer:

15.8 sq. in. of paper will be required.

Step-by-step explanation:

The problem is that a drinking cup does not have a cover, so only the lateral surface area counts.

I.e. We need only the first term.

A = pi r l = pi * 1.5 * sqrt(3^2+1.5^2)

= 15.81 sq. in.

A 95% confidence interval for the mean number of television per American household is (1.15, 4.20). For each of the following statements about the above confidence interval, choose true or false.
a. The probability that u is between 1.15 and 4.20 is .95.
b. We are 95% confident that the true mean number of televisions per American household is between 1.15 and 4.20.
c. 95% of all samples should have x-bars between 1.15 and 4.20 televisions.
d. 95% of all American households have between 1.15 and 4.20 televisions
e. Of 100 intervals calculated the same way (95%), we expect 95 of them to capture the population mean.
f. Of 100 intervals calculated the same way (95%), we expect 100 of them to capture the sample mean.

Answers

Answer:

a. False

b. True

c. False

d. False

e.True

f. True

Step-by-step explanation:

The 95% is confidence interval its not a probability estimate. The probability will be different from the confidence interval. Confidence interval is about the population mean and is not calculated based on sample mean. Every confidence interval contains the sample mean. There is 95% confidence that the number of televisions per American household is between 1.15 to 4.20.

HELP
PLSFind all the missing elements:

Answers

Answer:

a = 6.7 , c = 2.0

Step-by-step explanation:

For side a

To find the missing side a we use the sine rule

[tex] \frac{ |b| }{ \sin(B) } = \frac{ |a| }{ \sin(A) } [/tex]

From the question

B = 58°

b = 6

A = 109°

Substituting the values into the above formula we have

[tex] \frac{6}{ \sin(58) } = \frac{ |a| }{ \sin(109) } [/tex]

[tex] |a| \sin(58) = 6\sin(109) [/tex]

Divide both sides by sin 58°

[tex] |a| = \frac{6 \sin(108) }{ \sin(58) } [/tex]

a = 6.728791

a = 6.7 to the nearest tenth

For side c

To find side c we use the sine rule

That's

[tex] \frac{ |b| }{ \sin(B) } = \frac{ |c| }{ \sin(C) } [/tex]

C = 13°

[tex] \frac{6}{ \sin(58) } = \frac{ |c| }{ \sin(13) } [/tex]

[tex] |c| \sin(58) = 6 \sin(13) [/tex]

Divide both sides by sin 58°

[tex] |c| = \frac{6 \sin(13) }{ \sin(58) } [/tex]

c = 1.591544

c = 2.0 to the nearest tenth

Hope this helps you

Answer:

B=58 a=6.7 c=1.6

Step-by-step explanation:

It was right on Acellus

Sorry I cant give a better explanation but this unit is killing me.

-8 + (-15)
Evaluate this expression ​

Answers

Answer:

-23

Step-by-step explanation:

-8+(-15) means that you are subtracting 15 from -8. So you end up with -8-15=-23.

ASAP Which dimensions cannot create a triangle? three angles measuring 10 degrees, 25 degrees, and 145 degrees three sides measuring 9 m, 15 m, and 9 m three angles measuring 40 degrees, 70 degrees, and 65 degrees three sides measuring 6 cm, 8 cm, and 10 cm

Answers

Answer:

Three angles measuring 40°, 70° and 65°

Step-by-step explanation:

Because they don't add up to 180°

Answer:

The correct answer is 10° 25° 145°

Step-by-step explanation:

It's because the two smallest angles added up must be greater than the largest angle to create a triangle. Your welcome.

For the given data value, find the standard score and the percentile. A data value 0.6 standard deviations above the mean.

Answers

Answer:

The  standard score  [tex]z = 0.6[/tex]

The  the percentile   [tex]P(z < 0.6 ) = 72.57\%[/tex]

Step-by-step explanation:

From the question we are told that

   A data value is  0.6 standard deviations above the mean.

The above statement can be mathematically represented as

     [tex]x = 0.6 \sigma + \mu[/tex]

Where [tex]\sigma[/tex] is the standard deviation and  [tex]\mu[/tex] is the mean

   Generally the standard score is mathematically represented as

            [tex]z = \frac{x - \mu}{\sigma}[/tex]

   =>      [tex]z = \frac{(0.6 \sigma + \mu) - \mu}{\sigma}[/tex]

   =>     [tex]z = 0.6[/tex]

Now the percentile is obtained from the z-table , the value is  

        [tex]P(z < 0.6 ) = 0.7257[/tex]

=>    [tex]P(z < 0.6 ) = 72.57\%[/tex]

Given y(x) = f(x)g(x). Find the slope of the tangent line to y(x) at x = 7.​

Answers

Answer:

Step-by-step explanation:

Interesting problem.

At 6<x<8,

f(x) = x-7

at 5<x<8

g(x) = (15-x)/2

=>

y(x)

= f(x)*g(x)

= (x-7)(15-x)/2

= (x^2+22x-105)/2

differentiate y(x) with respect to x,

y'(x) = -x+11

at x = 7,

y'(7) = -(7) + 11 = 4

Which of the following is true about congruent figures?
They're the same shape and the same size.
They're the same size, but not the same shape.
They're not the same shape or size.
They're the same shape, but not the same size.​

Answers

Answer:

A

Step-by-step explanation:

congruent means they have the same shape and size. hope this helps :)

(a^8)3/2 in simplest form ​

Answers

Answer:

[tex]\large\boxed{\frac{3}{2}a^{8}}[/tex]

Step-by-step explanation:

([tex]a^{8}[/tex]) * [tex]\frac{3}{2}[/tex]

Remove the parenthesis by multiplying

[tex]\frac{3}{2}[/tex][tex]a^{8}[/tex]

This expression cannot be simplified further

[tex]\large\boxed{\frac{3}{2}a^{8}}[/tex]

Hope this helps :)

Which set of numbers is arranged from least to greatest?

Answers

Answer:

The correct answer is option B

14. Twice the sum of a number and eight

Answers

Answer: 2(x + 8) is the expression.

Use distributive property to simplify,

2x+16

I didn't know which answer you wanted so....

Answer:

2(x + 8)

Step-by-step explanation:

Hello!

Twice the sum means we multiply by 2

2

the sum of a number and eight is x + 8

2 * x + 8

Since we have to twice the sum we put x + 8 in parenthesis to show to do that first

2(x + 8)

Hope this Helps!

What is the third quartile?

Answers

Answer:

17

Step-by-step explanation:

The third quartile is positioned at the right end of the box, thus

third quartile = 17

Complete the recursive formula of the geometric sequence -0.3,0.9,-2.7,8.1

Answers

Answer:

[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex] with a₁ = - 0.3

Step-by-step explanation:

The recursive formula for a geometric sequence is of the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]

where r is the common ratio

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{0.9}{-0.3}[/tex] = - 3 , thus

[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex] with a₁ = - 0.3

Evaluating function expressions

-1•f(-8)-4•g(4)=

Answers

Answer: -7

Step-by-step explanation:

To find f(-8) look at the f function. Find the y value when x = -8

To find g(4) look at the g function. Find the y value when x = 3

Plug these values into the equation

-1 f(-8) - 4 f(4)

-1 (-5) - 4 (3)

5 - 12 = -7

Simplify to create an equivalent expression. 7n-(4n-3) a=3n+3 b=3n−3 c=11n+3 d=11n−3 I will rate you brainliest. :)

Answers

Answer:

3n +3

Step-by-step explanation:

7n-(4n-3)

Distribute the minus sign

7n -4n +3

3n +3

HELP :Write the expression as the
sine or cosine of an angle.

Answers

Answer:

sin(4π/21)

Step-by-step explanation:

Step 1: Rearrange expression

sin(π/3)cos(π/7) - cos(π/3)sin(π/7)

Step 2: Use sin(A ± B)

sin(π/3 - π/7)

Step 3: Evaluate

sin(4π/21)

And we have our answer!

The locksmith is 37.9 kilometers west of the bank and 77.9 kilometers west of the garbage dump. The garbage dump is 128.6 kilometers east of the pet store. The pet store is 35.0 kilometers north of the hardware store. Which is closer to the pet store, the hardware store or the locksmith?

Answers

The correct answer is Hardware store

Explanation:

In this case, you need to determine the distance between the pet store and the locksmith to know if the distance is longer than the one from the pet store and the hardware (35 kilometers). Now this distance can be calculated by subtracting the distance from the locksmith to the garbage dump from the total distance between the pet store and the garbage dump. This is because the locksmith is between the pet store and the garbage, which means the distance between the pet store and the locksmith is a portion of the total distance, which is the distance from the pet store and the garbage dump. The process is shown below:

128.6 kilometers (distance from the garbage dump to the pet store) - 77.9 kilometers (distance from the garbage dump to the locksmith) = 50.7 (distance from the locksmith to the pet store

50.7 kilometers is greater than 35 kilometers, which means the  hardware store is closer to the pet store

List the sides of ΔRST in ascending order (shortest to longest). m∠R=2x+11°, m∠S=3x+23°, and m∠T=x+42°

Answers

Answer:

ST, RS, RT

Step-by-step explanation:

Angles of a triangle add up to 180°.

2x + 11° + 3x + 23° + x + 42° = 180°

6x + 76° = 180°

x = 17⅓

m∠R = 2x+11° = 45⅔°

m∠S = 3x+23° = 75°

m∠T = x+42° = 59⅓°

The shortest side is opposite the smallest angle, and the longest side is opposite the largest angle.

ST, RS, RT

I buy 6 CDs costing £6.99.
How much change do I get from
£50?

Answers

Answer:

subtract the 6.99 from 50 and you get your answer

Step-by-step explanation:

Answer:

8.06

Step-by-step explanation:

Take the cost of a cd and multiply by 6

6.99 *6

41.94

Subtract this from 50.00

50.00 - 41.94

8.06

You will get 8.06 back

)Patrick buys some bananas for 35%. He sells all the bananas for $40.60. Calculate profit
percentage. Show your working.

Answers

Answer:

Profit Percentage= Bought price\ Sales price * 100

= 35/ 40 * 100

=87.5%

Step-by-step explanation:

which expression is equivalent to x^-5/3

Answers

Answer:

B

Step-by-step explanation:

Since the power is negative, you automatically know it has to be a or b, because the only way it would be negative is if it was brought from the denominator to the numerator.

The answer is B, because the numerator of the power, is what is inside the square root, while the denominator is what is outside the square root.

idk how to put the picture but can someone just tell me the points where the two dots go plz will give good rate nd say thx plz answer fast

Graph -8x-y=8

Answers

Answer:

(-1,0) and (0,-8)

Step-by-step explanation:

Hey there!

Well first we’ll graph -8x - y = 8,

Look at the image below

By lookig at the image below we can tell the 2 points are at,

(-1,0) and (0,-8)

Hope this helps :)

A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained.

High stress 20 23 18 19 22
Relatively stress free 26 31 25 26 30

Required:
1. The obtained value of the appropriate statistic is _______

a. tobt = -4.73
b. tobt = -4.71
c. tobt = -3.05
d. tobt = -.047

2. The df for determining tcrit are ____.

a. 4
b. 9
c. 8
d. 3

3. Using a = 0.052 tail, tcrit = ____.

a. +- 2.162
b. +- 2.506
c. +- 2.462
d. +- 2.306

4. Using a = .052 tail, your conclusion is ____.

a. Accept H0; stress does not affect the menstrual cycle
b. Retain H0; we cannot conclude that stress affects the menstrual cycle
c. Retain H0; Stress affects the menstrual cycle
d. Reject H0; stress affects the menstrual cycle

Answers

Answer:

1. a. tobt = -4.73

2. b. 9

3. a. +- 2.162

4. d. Reject H0; stress affects the menstrual cycle.

Step-by-step explanation:

The degrees of freedom is number of independent variable factors that affect the range of parameters. The degrees of freedom is the calculation of number values that are free to vary. The degrees of freedom is calculated by N-1. Standard error is the estimated deviation of standard deviation from its sample mean distribution. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted.

IM GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER!

Show ALL work please! <3

Answers

Answer:

B

Step-by-step explanation:

What work is there to show? you basically isolate x. add 2 to both sides. and you get x is greater than or equal to 5. So the answer is B.

x-2[tex]\geq[/tex]3

 +2 +2

x[tex]\geq[/tex]5

Jaclyn is one-fourth of a foot taller than John. John is 31/6 feet tall. How many feet tall is Jaclyn

Answers

Answer:

5 5/12

Step-by-step explanation:

31/6 feet + 1/4 foot

= 31/6 + 1/4

= [(31 * 4) / 6 * 4] + [(1 * 6) / 4 * 6]

=  [ 124/24 ] + [ 6/24 ]

= (124 + 6) / 24

= 130 / 24

= 5 10/24

= 5 5/12

Hope this helps!  Tell me if I'm wrong!

Consider F and C below.
F(x, y) = x2 i + y2 j
C is the arc of the parabola y = 2x2 from (−1, 2) to (2, 8)
(a) Find a function f such that F = ∇f. f(x, y) =
(b) Use part (a) to evaluate C ∇f · dr along the given curve C.

Answers

(a)

[tex]\dfrac{\partial f}{\partial x}=x^2\implies f(x,y)=\dfrac{x^3}3+g(y)[/tex]

[tex]\dfrac{\partial f}{\partial y}=\dfrac{\mathrm dg}{\mathrm dy}=y^2\implies g(y)=\dfrac{y^3}3+C[/tex]

[tex]\implies f(x,y)=\dfrac{x^3+y^3}3+C[/tex]

(b)

[tex]\displaystyle\int_C\nabla f\cdot\mathrm d\mathbf r=f(2,8)-f(-1,2)=\boxed{171}[/tex]

Other Questions
HELP!!!!!!!! PLEASE!!!!!! Matthew works as a painter. He is currently doing a project painting a house. He is left with 7 1/5 liters of paint and one wall of a room requires approximately 1 2/3 liters of the paint. How many more walls of the rooms can he paint? A 5 B 4 C 6 D 3 A survey asked students at Wilson Academy which status they would preferto be happy, healthy, or richand how much pressure they felt from their homework. The two-way table of row relative frequencies below shows the data. 10. How far does a transverse pulse travel in 1.23 ms on a string with a density of 5.47 103 kg/m under tension of 47.8 ????? How far will this pulse travel in the same time if the tension is doubled? what makes''emerging technologies'' happen and what impact will they have on individuals,society,and environment What is the area of polygon EFGH? Please help!!!Simplify: (sin 0 - cos 0)2 + (sin 0 + cos 0)2 (5 points)Select one:a. 1b. 2c. sin^2theta d. cos^2theta How did Native Americans' language differ from Europeans? Explain who Vasco Nez Balboa is and what he did (quick summary would be extremely helpful!) what was the purpose of the offive of war information You have been put in charge of planning a family wedding. In Spanish, listsome of the arrangements you would have to make. If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift? How did music in the Renaissance differ from medieval music? What were the effects of the printing press on music and composers? If the Renaissance is thought to represent a rebirth or new birth, how is this reflected in the music of the Renaissance? What was the role of music during the Renaissance? How was it used in society? Many of the songs from ancient times through the Renaissance built on the melodies of previous songs. What were the advantages for composers of using a melody that had already been created? You own of the stock of a company that has 10 directors on its board. How much representation can you get on the board if the company has cumulative voting? How much representation can you ensure if the company has straight voting? Which is a theme in Gentleman of Ro en Medio?A-There are different ways to view money, time, and land ownership.B-Rules and regulations determine what the truth is in any situation.C-Land can only be owned by individuals, not an entire community.D-Money and time are valued over anything else by most people. When 91.96g of Na reacts with 32.o g of O2 how many grams of NaO2 are produced How is the theme of loyalty and sacrifice developed in the odyssey? What was a consequence of traveling in steerage?O A. Many boats had to deal with mutiny.O B. Many parents had new babies on board.O C. Many single people got married.O D. Many people got sick and died. Type the correct answer in the box. Use numerals instead of words.Consider this expression.When and , the value of the expression is How would you explain that the geological processes occurring today are similar to geological processes that took place a long time ago? Why do you think Hal, Mercedes, and Charles set out for the Klondike when they were so inexperienced? Give at least 3 examples as to why they were unsuccessful.