m angle PQS= 3x; m angle SQR=5x-20
Find x

Answers

Answer 1

Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.

Given:

Ray QS bisects ∠PQR.

m∠PQS = 3x

m∠SQR = 5x-20

To find:

The value of x and m∠PQR

Solution:

Ray QS bisects ∠PQR. So,

[tex]m\angle PQS=m\angle SQR[/tex]

[tex]3x=5x-20[/tex]

[tex]3x-5x=-20[/tex]

[tex]-2x=-20[/tex]

[tex]x=10[/tex]

The value of x is 10.

Now,

[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]

[tex]m\angle PQR=3x+5x-20[/tex]

[tex]m\angle PQR=8x-20[/tex]

Put x=10,

[tex]m\angle PQR=8(10)-20[/tex]

[tex]m\angle PQR=80-20[/tex]

[tex]m\angle PQR=60[/tex]

Therefore, the m∠PQR is 60 degrees.


Related Questions

Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?

Answers

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

Can someone help me with this I will make you brainliset

Answers

Answer:

I believe the answer is statements 1, 4, and 6.

Step-by-step explanation:

Answer:

1.4 and 1.7

Step-by-step explanation:

Evaluate this function f(x)= -x2+6x+19 Find f(5)

Answers

Answer:

f(5) = -10+30+19 = 39

Step-by-step explanation:

f(5) = (-5)2+6(5)+19

-10+30+19

=39

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?​

Answers

Answer:

Step-by-step explanation:

write 24.23 as a mixed number in simplest form

Answers

24.23 =

24 23/100

It doesn't simply because 23 is a prime number.

Answer:

24 23/100

Step-by-step explanation:

is 3.45445554 rational or irrational?

Answers

Answer:

3.45445554 is irrational.

Hope this helps!

Please can you mark as Brainliest!

Step-by-step explanation:

Answer:

[tex]3.45445554[/tex]

Rational number ✔️

rational number is the number that can form a fraction

Convert the equation 3x^2+3y^2+6x+24y=9 to the standard form of a circle

Answers

Answer:

3 x 2 + 3 y 2 + 6 x = 0

On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?

Answers

Answer:

20r-23p

Step-by-step explanation:

find the inverse function of g(x) = sqrt x-7

Answers

the inverse is x²+7
.......

The inverse of g(x) is x² + 7

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

Learn more about inverse function here:

brainly.com/question/2541698

#SPJ2

Please help this math problems

Answers

Answer:

1)85

2)-3

3)-5

4)98

5)2

6)-3

7)-5

8)-1

9)-4

10)2

11)535

Step-by-step explanation:

27 mm converted to in m

Answers

1.063 inches

0.027 meters

hope it helps!

If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?

Answers

Answer:

21

Step-by-step explanation:

From our previous knowledge, if f'(x) = m ,

Then f(x) = mx+c

For a smaller value of f(5), m should be the smallest possible integer if m = 3

i.e. f(x) = 3x+c

replacing the value of x with 2 given from the question to get the value of c, we have:

f(x) = 3x+c

f(2) = (3×2)+c

where; f(2) = 12

12 = 6+c

- c = -12 + 6

- c = - 6

c = 6

Now, f(x) can now be;

f(x) = 3x + 6

f(5) = (3×5)+6

f(5) = 15 + 6

f(5) = 21

Therefore, smallest possible value of f(5) is 21

What is the degree of the polynomial

Answers

I believe the degree of the polynomial is 3 because that is the highest exponent

I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =

Answers

Answer:

r²(9r-1)

Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

6r³ + 3r³ - r²

= 9r³ - r²

factorize by divide each by r²

= r²(9r - 1)

If f(x)=3x+19 find f (-3a-2)

Answers

Answer: f(-3a-2)=-9a+13

Step-by-step explanation:

To find f(-3a-2), we plug in -3a-2 into f(x).

f(-3a-2)=3(-3a-2)+19              [distribute]

f(-3a-2)=-9a-6+19                  [combine like terms]

f(-3a-2)=-9a+13

Now, we know that f(-3a-2)=-9a+13.

If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

The answer should be 24

To cover the room of given dimensions 4 gallons of paint is needed.

What is an Area?

The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.

Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high

Surface area of room = 2(l+b)*h

= 2(30+20)*12

= 1200 in²

1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²

Hence, To cover the room of given dimensions 4 gallons of paint is needed.

For more references on Area, click;

https://brainly.com/question/27683633

#SPJ2


In 0.356, which digit is in the thousandths place?

Answers

Answer:

6 is in the thousandths place

Step-by-step explanation:

4.88 + 1.6*
What is the answer

Answers

Answer:

6.48 is the answer.

Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23

Answers

Answer:

x = ±√(y - 23)

Step-by-step explanation:

y  = x^2 + 23 may be solved for x as follows:

Subtract 23 from both sides, to isolate x^2:

x^2 = y - 23

Take the square root of both sides.   We get:

x = ±√(y - 23)

8 1/3 in 10 minutes

find unit rate

Answers

Umm it the unit rate is

59 in = how many feet and inches

Answers

Answer:

feet=4.91667

inches=708

Step-by-step explanation:

Answer:

4 ft. 11 in.

Step-by-step explanation:

Step 1:

59 ÷ 12

Step 2:

4   r 11

Answer:

4 ft. 11 in.

Hope This Helps :)

Can anyone help me with my algebra homework please ?

Answers

Answer:

She will practice 2.5 for week four

Step-by-step explanation:

The table is going by 0.5 so I added 0.5 +2 =2.5

Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Answers

Answer:

1.0638

Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

Torque which is the turning effect on an object :

1 Newton = 0.225 pound force

1 centimeter = 0.394 inch

Hence ;

1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch

12 Newton centimeter is hence, equals :

(12 × 0.225 × 0.394) pound inch

= 1.0638 pound inch

Solve for x : 3xyz= P

Answers

Answer:

x = P/yz

Step-by-step explanation:

You just divide the left side by yz

solve the equation
what does x equal to
46+x÷6−21=25+6

Answers

Answer:

×=36

Step-by-step explanation:

46+1/6X-21=31

25+1/6X=31

1/6X=31-25

1/6X=6

X=36

lauren 3.26 lunch on Tuesday she spent 3.56 on Wednesday and 3.29 on thurday order the prices from greatest to least

Answers

Answer:3.56, 3.29, 3.26

Step-by-step explanation:3.56 is bigger than 3.29 and 3.29 is bigger than 3.26

A hose fills a hot tub at a rate of 3.01 gallons per minute. How many hours will it take to fill a 334 ​gallon hot​ tub?

Answers

Answer: I dont have the full answer, but this is what i could figure out.

Step-by-step explanation:

3.01 gallon per minute

60 minutes in an hour

3.01 times 60= 180.6

180.6 times 1.85= 334.11

I do not know what to do after this, I wish I could help more, but I hope someone or yourself can figure out the rest. Good luck!

Joey Page earns $5.75 per hour at his part-time job. Last week he worked 25 hours. What was his gross
pay for the week

Answers

Answer:

143.75

Step-by-step explanation:

idk man use google or something

The formula for the volume of a cone is V = 1/3 bh
Solve v = 1/3 bh for b, the base of the cone.
A. b= 3h/v
B. b= v/3h
C. b= h/3v
D. b= 3v/h​

Answers

Answer:

D. B=3v/h

Step-by-step explanation:

V = bh

multiply both sides by 3 to eliminate the fraction

3V = bh ( divide both sides by h )

B= 3v/h

The expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

What is a cone?

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]

It is given that:

The formula for the volume of a cone is:

V = (1/3)bh

To solve for b:

The expression can be defined as the combination of constants and variables with mathematical operators.

Make the subject as b:

V = (1/3)bh

On cross multiplication:

3V = bh

Divide by h on both the sides:

3V/h = bh/h

b = 3V/h

Thus, the expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ2

Chelsea earned $85
while babysitting. She
spent $42 on gas for her
car and $17 on dinner
with a friend. How much
money does she have
now?

Answers

Answer:

$85-$42-$17=$26

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

subtract 85-42-17 to get a total of $26
Other Questions
HELP PLEASE!!!Which best represents the law of conservation of mass?A- mass of reactants > mass of productsB- mass of reactants < mass of productsC- mass of reactants = mass of productsD- mass of reactants -> mass of products Express the ratio AC/DF in simplest form .The Virginia Company paid for the establishment of the first permanent English settlement in North America in 1607. What was the name of the settlement?Immersive Reader(10 Points)Fort MoseJamestownNew AmsterdamQuebecSt. Augustine Find the x-values for which f(x) = g(x)if you know that f(x) = x2 and g(x) = 9. Which set of angle measures could be the interior angles of a triangle? A. 15, 48, 27 B. 56, 45, 46 C. 42, 84, 64 D. 93, 29, 58 Question: List the six comparison symbols. Im really bad at math If s(x) = x - 7 and t(x) = 4x2 X + 3, which expression is equivalent to (ts)(x)? Where did Arabsestablish Islam inAfrica? Pls help plssssssssss After Bacon's Rebellion, how did colonial leaders respond to Bacon's demands? DNA and rna are both? People around the world rely on the Amazon Rainforest for all of the following resources except __________.A.waterB.medicinal resourcesC.oilD.oxygenPlease select the best answer from the choices provided.ABCD Finch species living on the Galapagos Islands exhibit a variety of beak types that favor different foods. Finches that eat seeds and plant parts have beaks of the shorter, thicker variety, while finches that eat insects and other small organisms have thin, pointed beaks. 78% of the finches on an island in the Galapagos have beaks that are identical to Finch 1. What conclusion can you reach about the availability of food for the finches on this island?A)There is an abundance of insects.B)There is an abundance of seeds and nuts.C)There is a wide variety of foods for the finches to eat.D)Plants have died out and there are only insects for food Which ratios are equivalent to 8 : 12? Select all that apply. A 4 : 6 B 12 : 8 C 16 : 20 D 24 : 36 E 56 : 84 TranscriptAnswer the following questions.1) Match the following terms with the definition.a group of words that contains a subject and a verba clause that can stand alone as a complete sentencea clause that does not form a complete sentence but functions as onepart of the sentence If I take my heart rate for 30 seconds, I should multiply the number by2 to get my Beats Per Minute (BPM). How will you achieve all of your academic and personal goals for the week while still managing your online and offline Molding a shape from soft, malleable material (clay or plaster) or constructing a shape from harder material (such as metal or paper). Molding is what a child does with Play-Doh or origami. Which of the following statements about the Amazon River is false?A.The Amazon River can grow up to 30 miles wide during the rainy season.B.More than 1,000 rivers, creeks, and tributaries drain into the Amazon River.C.The Amazon River is navigable by freighters more than 1,000 miles inland.D.The Amazon River flows through Argentina and Chile.Please select the best answer from the choices providedABCD having problems with geometry homework, help me please