The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines s r and s u is 78 degrees. the space between lines s u and s t is 3 x minus 12. what is manglerst in degrees? 78° 84° 120° 156°

Answers

Answer 1

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

__

  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

Additional comment

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

The Measure Of Anglerst Can Be Represented By The Expression (6x 12). Three Lines Extend From Point S.

Related Questions

Describe how to translate the graph of y=√x to obtain the graph of y=√x+2
A.shift right 2 units

B.shift left 2 units

C.shift up 2 units

D.shift down 2 units

Answers

Answer:

D

Step-by-step explanation:

Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin

I need help problem in the picture below

Answers

Answer:

The answer is three

Step-by-step explanation:

The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.

A valuable watch has an original price of $x. It is sold for $5304 after its original price has been increased by 2% and then by 4%. Find x.
SHOW YOUR WORKING. ​

Answers

Answer:

$5416.67

Step-by-step explanation:

If A valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part

let the original price be x.

The selling price of watch is $5304 .

2% of $5304  is 2/100×5304=0.02×5304

=106.08

Now let us remove the 2% from the selling price of the watch.

$5304 - 106.8 =5197.2

4% of $5197.2 is 4/100×5197.2=0.04×5197.2

=207.888

So Selling price of watch minus percentage in increase is the original price

5304-207.888=5096.1

Hence if a valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

(question in image)

i need the equation and it solved

Answers

Answer:

Option ASpeed of plane is 240 km/h, speed of wind is 50 km/h

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

(r + w)*6 = 1740

The second equation is

(r - w)*3 = 570

Simplify both equations and solve the system

r + w = 1740/6 ⇒ r + w = 290r - w = 570/3 ⇒ r - w = 190

Solve by elimination, add up the equations

r + w + r - w = 290 + 1902r = 480r = 240

Find the value of w

240 + w = 290w = 290 - 240w = 50

In a different plan for area​ codes, the first digit could be any number from 4 through​ 8, the second digit was either 0, 1, or 2​, and the third digit could be any number 4 except With this​ plan, how many different area codes are​ possible?

Answers

Answer:

135 choices

Step-by-step explanation:

5 choices for 1st dig

3 choices for 2nd dig

9 choices for third digit

5 x 3 x 9 = 135

Answer:

135

Step-by-step explanation:

But, for the last digit that is go from 0-9 except the 4

So it also depends on the range for the last digit

Hope this helped! :)

The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square centimeters. Find the length and width of the rectangle.

Answers

Answer:

Length: 8 cm

Width: 2 cm

Step-by-step explanation:

Check the attachment.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

the answer to your question is 9 miles

the answer in its simplest from is 9 miles

∠1 and ∠2 are linear pair. If m∠1 = 3x + 4 and m∠2 = 2x – 9, find x.

Answers

Answer:

37

Step-by-step explanation:

Linear pairs are supplementary (adds up to 180)

m∠1 + m∠2 = 180

3x + 4 + 2x - 9 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps :)

Have a nice day!

Given h(x)=-x+2h(x)=−x+2, find h(4)h(4).

Answers

Answer:

(-4 + 2 • h(4))^2

Step-by-step explanation:

h(4)h(4)

h(4) • h(4) = (-4 +2 • h(4)) • (-4 +2 • h(4))


Calculate

(-4+2× h(4)) × (-4+2× h(4))

Simplify using exponent rule with same base

a^n • a^m = a^n+m

(-4+2× h(4))^2

I hope this helps out.

TEN POINTS
Select the correct answer.
Solve the following quadratic equation.
(x+4)^2=25

A. x=9 and x=-1

B. x=-9 and x=-1

C. x=-9 and x=1

D. x=9 and x=1

Answers

Answer:

hi I need actually a lot of help with Matt since I'm not the best?

Answer the question below

Answers

Answer:

v=k+5

Kora is 13 yrs old when Venla is 18 yrs old

Please help! Will mark brainlyest.

Answers

Answer:

D

Step-by-step explanation:

there is a curve

Geometry math work help pls

Answers

Answer:

Step-by-step explanation:

Remark

If you sweep all the way around the circle starting at 13,0, you go through 360 degrees.  

The formula for that event: Circumference = 2*pi * r

If you stop after sweeping out 135 degrees, then you need to multiply by a fraction.

Formula and givens

Arc RST = (135/360) * 2 * pi * r

pi = 3.14

r = 13

Solution

Arc RST = .375 * 2 * 3.14 * 13

Answer = 30.615

HELP ME PLEASEEEEEEEEEEEEEEEEEEEE

Answers

Ooo substitution! I love this!

To solve this, we will substitute for y:

4/9x - 3 = -7/5x - 3

Jk. I’ll give you the answer to save time. The answer is x = 0.

Is the following a statistical question?
How many letters are in the English alphabet?
yes
no

Answers

There are 26 letters in the English alphabet and no it’s not a statistical question

i really need some help on this question

Answers

Answer:

What is the car's rate in kilometers per minute?

[tex]0.9\frac{km}{min}[/tex]

How many kilometers will the car travel in 5 minutes?

[tex]4.5\ km[/tex]

Step-by-step explanation:

If we know:

[tex]\frac{54\ km}{1\ hour}[/tex]

And there are 60 minutes in an hour:

[tex]\frac{1\ hour}{60\ minutes}[/tex]

We can do:

[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]

From here, we figure out the distance from minutes:

[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]

Please help.
Solve for a

Answers

Answer:

a = [tex]\sqrt{68}[/tex] = 8.2

Step-by-step explanation:

Look at picture ↓

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]:)[/tex]

Answer:

60

Step-by-step explanation:

You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.

1. The side we're solving for can either be called a or b. Let's call it A.

2. Now, switch around the theorem to solve for a: [tex]C^2-B^2=A^2\\[/tex]

3. Plug in what we know: [tex]8^2-2^2=a^2[/tex]

4. It simplifies down to [tex]60=a^2[/tex]

5. The  "[tex]a^2[/tex] " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root

6. This leaves us to take the square root of both sides, which isolates a.

7. [tex]\sqrt{60}[/tex] is the answer. It's asking for it in the square root so we don't need to simplify it.

4 1/6 add 2 3/4 PLEASE

Answers

Answer: 6.91666666667, or 6 11/12

If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?

Answers

Answer:

Step-by-step explanation:

The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.

Amount of Rainfall (inches)

Part A

What is the difference between the greatest and least amounts of rainfall in a month?

Let x = the unknown.

Greatest amount= 3 1/4

Least amount = 3/4

x= 3 1/4 - 3/4 = 2 1/2 inches.

Part B

If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?

The number with the most common amount is  2 3/4.

2 3/4 + 2 3/4 = 5 1/2 inches.

how to find area of triangle

Answers

Answer:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

Step-by-step explanation:

    To find the area of a triangle, we can use the formula of:

[tex]\displaystyle A =\frac{B*H}{2}[/tex]

    This formula comes from the area of a rectangle, because a triangle is half a rectangle.

❒ Question -:

How to find the area of a triangle?

❒ Explanation -:

Triangle :

A polygon which has three sides is called a triangle.

Formula :

Assume a rectangle ABCD and let the height be h and base be b.

If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.

The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.

[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]

This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.

A factory makes circular rugs with a radius of 3.5 feet. How much braid do they need to go all the way around the outside of the rug? Use 3.14 for pi

Answers

I believe that the answer is 21.48

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

We have,

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:

C = 2 × 3.14 × 3.5 = 21.98 feet

Therefore,

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

Learn more about circumference of a circle here:

https://brainly.com/question/26605972

#SPJ2

Look at this diagram:
a)
What fraction is shaded?
b)
What percentage is shaded?

Answers

⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰

⚘✨ HI BRAINLY USER!! ✨

JUST CLICK THE ATTACHMENT PHOTO

⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰

#CARRY ON LEARNING #ulzanggirlth

Can anyone help me? me please

Answers

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

Which word describes 5 in the number sentence shown?

5x−2=18
Term
Coefficient
Variable
Equation

Answers

Answer:

Coefficient

Step-by-step explanation:

5 is the Coefficient for x

Write the equation of the graph in y=ab^x form.

Answers

Answer:

Step-by-step explanation:

If p → q is true, then ~ p → ~ q is __________ true.

Sometimes
Always
Never

Answers

Answer:

1. If p is true and q is false, the p -> q is never true.

2. When p is false and q is true, then p or q is always true.

3. If p is true and ~ q is false, then p -> ~ q

N

is never false.

4. If p is true and q is true, then ~ p -> ~ q is always true.

5. If p->q is true and q is true, then p is

always true.

Further Explanation:

The logic gates are used here.

Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.

So let us look at all the questions one by one.

1. p is true and q is false, the p -> q is always, sometimes, never true.

p-> q

true -> false

The true should imply true so the given statement will never be true.

2. When p is false and q is true, then p or q is always, sometimes, never true.

false or true

We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.

3. If p is true and~q is false, then P q is always, sometimes, never false.

This translates to:

true -> true

So it will never be false.

4. If p is true and q is true, then ^p -> ~q is always, sometimes, never true.

This translates to:

false false

This will always be true.

5. If p->q is true and q is true, then p is always, sometimes, never true.

If p->q is true and q is true then will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.

Which graph shows the effect of changing the slope of the line
y = 1/2x - 3 to 2?

Picture linked below if you want

Answers

Answer:

A

Step-by-step explanation:

Y intercept is -3

Rise 2 run 1

(Will give brainliest help asap pls)

A membership at a classic film center cost $75 per year.tickets to film cost members $5.50 . Which of the following statements is true of the annual cost of membership at the film center? Let y= total cost and x= number of films seen.

A. The annual cost is shown by the linear function y=x+5.50. The rate of change is 1, and the initial value is 5.50

B. The annual cost is shown by the linear function y=75x+5.60. The rate of change is 75, and the initial value is 5.50.

C. The annual cost is shown by the linear function y=80.50x. The rate of change is 80.50, and the initial value is 0.

D. The annual cost is shown by the linear function y=5.50x+75. The rate of change is 5.59, and the initial value is 75

Answers

D because 5.50 is x and your y so boom D

which question is a statistical question

1. who is your teacher?
2. what is your favorite movie?
3. What is the age of each child currently at the zoo?
4. How many pages are in the book you are reading?
5.How many pairs of shoes do students in your school have?

please answer asap

Answers

Answer:

5

Step-by-step explanation:

Cause you can actually get multiple different answeres which you can make a statistical question on

A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results:

Answers

The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors

How to determine the appropriate null hypothesis?

The distribution of the gum flavors is given as:

Peppermint = 25Cinnamon = 19Wintergreen = 22Spearmint = 14

The sample size is given as:

Sample = 80

From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven

This means that we can use the following statement as the null hypothesis:

Flavor preferences are evenly distributed across all flavors

Hence, the appropriate null hypothesis is (b)

Read more about test of hypothesis at:

https://brainly.com/question/15980493

#SPJ1

Other Questions
Inequality remains a huge problem, and in many Mexican states education is still a mess and criminals rule. Many local companies that could be benefiting from Mexico's rise also remain isolated from the export economy and its benefits, with credit hard to come by and little confidence that the country's window of opportunity will stay open for long. Indeed, over the past year, as projections for growth have been trimmed by Mexico's central bank, it has become increasingly clear to officials and experts that the country cannot expect its new competitiveness to single-handedly move it forward."For Migrants, New Land of Opportunity IsMexico,"Damien CaveWhich challenges does this passage describe? Check all that apply.1.Criminal activity is on the rise.2. Economic inequality remains an issue.3. Some children dont have access to education.4.Trade relations with the US have become difficult.5. Mexico's manufacturing industry cannot compete with other nations. What is the theme of across five Aprils PLEASE HELP ASAP!!!!!!!! 2How do the differing perspectives of Snowball and Napoleon affect the text?A It creates a mood of hope by showing that the two leaders are working hard to help everyone in different ways.BIt adds humor to the story by showing how the two leaders approach the same problem in opposite ways.C It foreshadows that the two will continue to disagree, and that will cause conflict.Dit foreshadows that the two will eventually start to agree and work together to help the farm. Solve the differential equation: X+1)dy/dx+y=1/x. How many moles are in 7.8 g of acetamide, CH3CONH2? Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 ofthe 4 aces? What is the slope below? Which of these are media components? Select all that apply.Group of answer choicestextpeoplevideophotographs help plscan you pls help me with this? tysmmm Heat-loss mechanisms do not include ________. A) reducing activity B) the evaporation of sweat C) behavior measures such as wearing light, loose clothing D) vasoconstriction of peripheral blood vessels The effect of the diction in this haiku is to create a pleasing sound. foreboding tone. positive connotation. monotonous rhythm. Problem * A pack of 8 pairs of socks cost $4.00 at the store. How much does it cost for each pair of socks? A $0.80 B $0.40 40) $0.50 D $1.00 What are a government's domestic policies? Select the five kinds of relationship to God that are required for answered prayer. cordiality obedience faith persistence surrender salvation cooperation informality Determine the next step for solving the quadratic equation by completing the square.0 = 2x2 + 2x + 33 = 2x2 + 2x3 = 2(x2 x)3 + = 2(x2 x + )StartFraction negative 7 Over 2 EndFraction = 2(x StartFraction 1 Over 2 EndFraction)2StartFraction 7 Over 4 EndFraction = (x StartFraction 1 Over 2 EndFraction)2The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction. MAX POINTS AND BRAINLEST QUESTION: Describe the use of Fiddler's philosophical wisdom on being a slave in TWO OR MORE SENTENCES.OTHER: if your answer is not answer you will be reported. while waiting for a video game to download, you notice that 30\%kilobytes have been downloaded so far.How many kilobytes have been downloaded so far? use the rules of significant figures to simplify the following expression: 47.5-6.12 I need help with this