if a ray QT bisects <RQS, what will be the measure of one of the resulting angles?

mZTQS=​

If A Ray QT Bisects &lt;RQS, What Will Be The Measure Of One Of The Resulting Angles?mZTQS=

Answers

Answer 1

Answer:

m<TQS=23

Step-by-step explanation:

(3x-5)+(x+1)

4x-4=180

   +      +

4x=184

---    ----

4       4

x= 46

46/2

=23

Answer 2

If a ray QT bisects <RQS, then [tex]m<TQS=23.5[/tex] °

Given :

a ray QT bisects <RQS

<PQR and <RQS is a linear pair . It makes and angle 180 degree

[tex]m<PQR+m<RQS=180[/tex]

From the diagram,

m<PQR=3x-5, and m<RQS=x+1

Substitute the expression and solve for x

[tex]m<PQR+m<RQS=180\\3x-5+x+1=180\\4x-4=180\\4x=180+4\\4x=184\\Divide \; by \; 4\\x=46[/tex]

now ,  [tex]m<RQS = x+1 =46+1=47[/tex]

Given  QT bisects <RQS. it means QT divides RQS equally

[tex]m<TQS= \frac{m<RQS}{2} \\m<TQS= \frac{47}{2} \\\\m<TQS=23.5[/tex]

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Related Questions

como se obtiene la raiz cuadrada de un numero? ​

Answers

Answer:

Multiplica el numero por si mismo.

Step-by-step explanation:

Por ejemplo, la raíz cuadrada de 3 es 9 porque 3x3=9

You drive to visit your parents, who live 100 miles away. Your average speed is 50 miles per hour. On arrival, you stay for five hours and then return home, again at an average speed of 50 miles per hour. Which graph depicts your distance from home from the time you leave until you return?

Answers

Answer: The first graph is the answer.

Step-by-step explanation: If your parents house is 100 hours away, and you're driving at 50 mph, then it would take 2 hours to get to you're parents house (100 ÷ 2 = 50). Then you stay at your parents house for 5 hours (2 + 5 = 7), the graph stays the same place on the y axis for 5 hours. Afterwards you drive home, same distance as when you drove to your parents (2), but you're going back so it's going down. This makes graph 1 the answer.

Answer:

The first graph A

Step-by-step explanation:

Just took the test on edgetrash lol

The curved surface area of a right circular cylinder of height14 cm is 88 cm2. Find the diameter of the base of the cylinder.

Answers

Answer:

4

Step-by-step explanation:

The formulae for Curved surface

area = πrh

Area = 88cm2

height = 14cm

radius = ?

Let π be 22/7

88 = 22/7 x r x 14

cross multiply

88 x 7 = 22 x 14 x r

616 = 308r

Divide both sides by 308

r = 2

Diameter = Radius x 2

so our radius is 2, 2 x 2 = 4

Find the solution of this system of equations
-5x = -21 + by
-5x + y = -84

Answers

Answer:

x=15 and y=-9

Step-by-step explanation:

7/8 square foot in 1/4 hour

Answers

Answer:

2 1/2

Step-by-step explanation:

The unit rate for the given parameters is 3 1/2 square feet /hour.

Given that, 7/8 square feet in 1/4 hour.

We need to find the unit rate.

How to find unit rate?

In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.

Now, unit rate = 7/8 ÷ 1/4

=7/8 × 4 =7/2

=3 1/2 square feet /hour

Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.

To learn more about a unit rate visit:

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A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 6 1/4 °F. The submarine dives down 115 feet deeper, and the water temperature drops by 2 1/5 °F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation. Complete the steps below to solve the problem.

Answers

Step-by-step explanation:

At the elevation 617.5 feet below the sea level temperature of the water was °F

Step-by-step explanation:

At 502.5 feet below the sea level temperature of the water is °F

When submarine dives down 115 feet deeper, water temperature drops by °F

Elevation after the submarine dove = -502.5 - 115 = -617.5 feet

This negative sign represents the elevation below the sea level.

And the temperature will be = 

                                               = 

                                               = 

                                               = 

                                               = °F

Therefore, at the elevation 617.5 feet below the sea level temperature of the water was °F

Hope it will help you.....

Answer:

that is correct

Step-by-step explanation:

given the function g(x)=x^2-2 find the range for the domain (-2,-1,1,3)

Answers

Answer:

(-2,2)

(-1,-1)

(1,-1)

(3,7)

If you graph it with a graphing calc. and pinpoint the X's(domains) then you can see the Y's(ranges)

If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

g(x) = x² - 2

The value of the function at x = -2 is given as,

g(-2) = (-2)² - 2

g(-2) = 4 - 2

g(-2) = 2

The value of the function at x = -1 is given as,

g(-1) = (-1)² - 2

g(-1) = 1 - 2

g(-1) = - 1

The value of the function at x = 1 is given as,

g(1) = (1)² - 2

g(1) = 1 - 2

g(1) = - 1

The value of the function at x = 3 is given as,

g(3) = (3)² - 2

g(3) = 9 - 2

g(3) = 7

If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).

More about the function link is given below.

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Apocalyptica Corp. pays a constant $18 dividend on its stock. The company will
maintain this dividend for the next 4 years and will then cease paying dividends
forever. If the required return on this stock is 7.78 percent, what is the current share
price?​

Answers

Given :

Apocalyptica Corp. pays a constant $18 dividend on its stock.

The company will  maintain this dividend for the next 4 years and will then cease paying dividends  forever.

To Find :

If the required return on this stock is 7.78 percent, what is the current share

price.

Solution :

Current price ( After 4 hours ) :

[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]

Therefore, current share  price is $57.058 .

Hence, this is the required solution.

Find all the zeros of j(x)=2x^4-5x^3-5x^2+20x-12

Answers

Answer:

j ( x ) = x 2 − 6 x − 9

f ( x ) = ( x − 3 ^)3

f ( x ) = 6 x 18

Step-by-step explanation:

The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?

Answers

Answer:

bat ang pogi ko hahahaha

Is this the answers? Idk I’m dumb

Answers

Answer:

Step-by-step explanation:

yes i think


4(2x - 5) -6( ) = 6+9) + (2x - 5)

Answers

Answer: x=6

Step-by-step explanation:

Step 1: Remove parentheses.

4(2x-5)-6=6+9+2x-54(2x−5)−6=6+9+2x−5

Step 2: Simplify  6+9+2x-56+9+2x−5  to  2x+102x+10.

4(2x-5)-6=2x+104(2x−5)−6=2x+10

Step 3: Expand.

8x-20-6=2x+108x−20−6=2x+10

Step 4: Simplify  8x-20-68x−20−6  to  8x-268x−26.

8x-26=2x+108x−26=2x+10

Step 5: Add 26 to both sides.

8x=2x+10+268x=2x+10+26

Step 6: Simplify  2x+10+262x+10+26  to  2x+362x+36.

8x=2x+368x=2x+36

Step 7: Subtract 2x2x from both sides.

8x-2x=368x−2x=36

Step 8: Simplify  8x-2x8x−2x  to  6x.

6x=36

Step 9: Divide both sides by 6.

x= 36/6 as a fraction

Step 10: Simplify  \frac{36}{6} to 6.

x= 6x

[tex] \bold{4(2x - 5) -6 = 6+9) + (2x - 5)}[/tex]

[tex] \bold{4(2x−5)−6=6+9+2x−5}[/tex]

[tex] \bold{4(2x−5)−6=2x+10}[/tex]

[tex] \bold{8x−20−6=2x+10}[/tex]

[tex] \bold{8x=2x+10+26}[/tex]

[tex] \bold{8x=2x+36}[/tex]

[tex] \bold{8x−2x=36}[/tex]

[tex] \bold{6x=36}[/tex]

[tex] \bold{x = \cfrac{36}{6}} [/tex]

[tex] \bold{x = 6}[/tex]

Note: The Parentheses must be eliminated to then use the law of signs, then we must expand the numbers, then simplify (that is, subtract) Now in the next step is to Add 26 on both sides then we must subtract and then add until we get the result of 6, so that ultimately we can take out a fraction and give us the correct answer, which is [tex]\bold{x=6}[/tex]

using the pattern rule find the missing value in the table​

Answers

Answer:

7

Step-by-step explanation:

1+3=4

2+3=5

3+3=6

4+3=7

Round 297,433 to the nearest hundred.

Answers

Rounded to the nearest hundred would be 297,400

Hope this helps!

Answer:

297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.

Solve for x. Enter the solutions from least to greatest. (2x +4)(3x -2)=0

Answers

-0.4

Step-by-step explanation:

You need to combine like terms, whatever that means. So you would add 2x and 3x to get 5x, and then 4+(-2), which would get you to 5x+2=0. Next, you subtract 2 from both sides, so you have 5x=(-2), and then you have to divide both sides by 5.

That's how I got x=(-0.4).

Answer:-2, 2/3

Step-by-step explanation:

I did on khan academy

Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.
A.StartFraction 16 over negative 3 EndFraction
B.StartFraction negative 16 over negative 3 EndFraction
C. StartFraction negative 16 over 3 EndFraction
D.StartFraction 16 over 3 EndFraction
E.Negative (StartFraction 16 over 3 EndFraction)
F.Negative (StartFraction 16 over negative 3 EndFraction)

Answers

Answer:

- 8/3

Step-by-step explanation:

eh

The fractions that have the same value as 16 ÷ (–3) is StartFraction 16 over negative 3 EndFraction. Option A is correct.

As we all know that a fraction comprises of majorly the upper part which is the numerator, separated by a division line, and the lower part which is the denominator.

The given expression 16 ÷ (–3) can be represented in fraction as;

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

From the given options:

A. StartFraction 16 over negative 3 EndFraction

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

B. StartFraction negative 16 over negative 3 EndFraction

[tex]\mathbf{=\dfrac{-16}{-3} }[/tex]

[tex]\mathbf{=\dfrac{16}{3} }[/tex]

C. StartFraction negative 16 over 3 EndFraction

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

D.  StartFraction 16 over 3 EndFraction

[tex]\mathbf{\dfrac{16}{3}}[/tex]

E.  Negative (StartFraction 16 over 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{-3}}[/tex]

F. Negative (StartFraction 16 over negative 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{-3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

Therefore, from the above explanation, we can see that only option A is correct.

Learn more about fractions here:

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Which inequalities are true? Check all that apply.

Answers

Answer:

1,2,3, and 5

Step-by-step explanation:

I plugged them all into a calculator

Write an expression equivalent to -4(-6m - 7).

Answers

Answer: 24m+28

Step-by-step explanation:

Distribute the negative four among the two terms.

Answer:

[tex](12*2)m+(-56/-2)[/tex]

I hope this helped :)

Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina? Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.

Answers

Answer:

Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

Katarina's equation

4x - 2/3y = 8

In order to convert Katrina's linear equation into standard form,

She should find the least common denominator

4x - 2/3y = 8

{4x(3) - 2y(1)} / 3 = 8

(12x - 2y) / 3 = 8

Multiply both sides by 3

(12x - 2y) / 3 × 3 = 8 × 3

12x - 2y = 24

Divide both sides by 2

(12x - 2y) / 2 = 24 / 2

6x - y = 12

The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Answer:

B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

edg2020

PLS HELP ME ASAP!! THIS IS DUE IN FIVE MINUTES!! (100 POINTS IF YOU ANSWER IT)

Answers

Answer:

i think B

Step-by-step explanation:

Geri believed the answer to one of her homework problems was 2 cubed. After checking her work, she realized the correct answer was 2 Superscript 9. How do these two answers compare?
A.The correct answer is 3 times Geri’s original answer.
B.The correct answer is 6 times Geri’s original answer.

C.The correct answer is 9 times Geri’s original answer.

D.The correct answer is 64 times Geri’s original answer.

Answers

Answer:

D

Step-by-step explanation:

Consider the expression –4b + 8c + 12 – 8b – 2c + 6. Part A Simplify the expression. b + c + Part B Factor the simplified expression using the GCF. 2(–2b + c + 3) 3(–2b + c + 3) 4(–2b + c + 3) 6(–2b + c + 3) Part C What is the value of the expression when b = 2 and c = –3?

Answers

Answer:

Step-by-step explanation:

Given the expression

-4b + 8c + 12 – 8b – 2c + 6.

To simplify, first collect the like terms

= (-4b-8b)+(8c-2c)+(12+6)

= -12b+6c+18

Factor out the GCF

The GCF is 6

On factoring out;

= 6(-2b+c+3)

If b = 2 and c = -3 the expression becomes:

= 6(-2(2)+(-3)+3)

= 6(-4-3+3)

= 6(-4+0)

= 6(-4)

= -24

Hence the value of the expression when b = 2 and c = -3 is -24

Answer:

3

Step-by-step explanation:

An arithmetic series in sigma notation is shown. What is the sum of the first 14 terms of the series

Answers

Answer:

-298

Step-by-step explanation:

Given the relation above :

n = 1 through 14

For n = 1

22 - 6(1)

n = 2

22- 6(2)....

Hence, sun of first 14 terms :

(22 - 6*1) + (22 + 6*2) + (22 - 6*3) + (22 - 6*4) + (22 - 6*5) + (22 - 6*6) + (22 - 6*7) + (22 - 6*8) + (22 - 6*9) + (22 - 6*10) + (22 - 6*11) + (22 - 6*12) + (22 - 6*13) + (22 - 6*14)

= - 298

Rewrite in simplest terms: 4(-3f-4)-9f

Answers

Answer:

-21f-16

Step-by-step explanation:

4(-3f-4)-9f

-12f-16

Round 198.1 to the nearest tenth,hundredths,hundred

Answers

Answer:

200

Step-by-step explanation:

Your family drives across Kansas on Interstate 70. A sign reads, “Wichita 90 mi, Topeka 110 mi”. What is the possible range of distances between the two cities given that the cities are not collinear?

Answers

Answer:

20 miles < The distance between the cities < 200 miles

Step-by-step explanation:

The given information on the sign = "Wichita 90 mi, Topeka 10 mi"

Given that the two cites are not colinear, we have;

The number of points specified in the figure = 3 points

The specified points are;

1) The location of the family

2) The location of Wichita, relative to the family's location, = 90 mi

3) The location of Topeka, relative to the family's location, = 110 mi

Therefore, given that the three points are not colinear, they form the vertices of a triangle

The legs of the triangle are 90 mi and 110 mi

The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles

The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles

Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.

Which gives;

20 miles < The distance between the cities < 200 miles.

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures The longest side of the drawing measures The longest side of the actual triangular piece to be sculpted must be long. How long will the shortest side of this piece​ be?

Answers

Answer:

3.71 m

Step-by-step explanation:

Here is the complete question.

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece​ be?

Solution

This is a scale drawing question.

Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.

Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.

So, scale = 20 cm/10.6 m

= 0.2/10.6

= 1/53.

Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from

scale = Scaled size/Actual size.

So,

Actual size = Scaled size/scale

= 7 cm ÷ 1/53

= 53 ×7 cm

= 371 cm

= 3.71 m

what is 6g-m/2 if g=4 and m=16

Answers

Answer:

I think the answer would be 16?

Step-by-step explanation:

if you plug in the given numbers that represent each letter it would be 6(4)-16/2 = 24-8= 16

Scott and Trevor each have some quarters. Trevor has 9 more quarters than Scott. The combined value of their quarters is $8.75 cents. How many quarters does Trevor have?

Answers

Answer:

I think it is $6.50.

Step-by-step explanation:

If you take the value of a quarter .25, and just subtract that 9 times, you'll get your answer

In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?

Answers

Answer:

-64

Step-by-step explanation:

multiply -16 by 4 to get the total of -64

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