What is m∠P? There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Answers

Answer 1

Answer:

94°

Step-by-step explanation:

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Sum of angles in a pentagon = 540°

Hence:

PQR + QRS + RST +STP + TPQ = 540 °

132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°

132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540

132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°

241 +13x = 540

13x = 540 - 241

13x = 299

x = 299/13

x = 23

What is m∠P?

m∠P in Pentagon PQRST = TPQ

TPQ = 4x + 2

= 4 × 23 + 2

= 94°


Related Questions

State if the two triangles are congruent. If so, state how you know.

Answers

Answer: They are congruent, because the angle representers are equal on both triangles

Step-by-step explanation:

GIVING BRAINLIEST PLEASE HELP

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

ans is B sorry if it's direct

Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1

Answers

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.

Answers

Complete question :

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.

Answer:

44°

Step-by-step explanation:

From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 30 / 30

Tanθ = 1

θ = tan^-1(1)

θ = 45°

Hence, bearing of B from C is 45°

Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79

Answers

Answer:

the answer would be A because when u subtract it the answer is $5.21

please please help!!

Answers

Answer:

108 No explanation needed, mark me brainliest

Answer:

108 is your correct answer

Step-by-step explanation:

Urgent please help..

Answers

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Basically, the teacher wants a math equation story but I can't think of one.

Answers

Answer:

For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped  at the store for 2 hours.

Step-by-step explanation:

Answer the following. a) Find h b) Find x

Answers

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for SOCIAL SECURITY TAX for this pay period was $

Answers

Answer:

292.32

Step-by-step explanation:

i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer


4. An angle is 50° more than its supplement. Find the angles.

Answers

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!

direct and inverse variation

Answers

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

PLEASE HELP HOW DO I SOLVE THIS?


12 + 7c = 103

Answers

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

What can you say about the two figures

A.The two figures are congruent but not similar.


B.The two figures are not similar or congruent.


C.The two figures are similar and congruent.


D.The two figures are similar but not congruent.

Answers

The answer would be letter D!

hope this helps!! pls also mark me brainliest if you can :)) i am trying to level up. thank you!!

how many vowels does Dwayne Johnson have in his name​

Answers

Answer:

3

Step-by-step explanation:

a, e, and o

Answer:

4 vowels with but he has two o’s

Step-by-step explanation:

A ,y e, o,

what does y equal?......​

Answers

Answer:

37

Step-by-step explanation:

The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.

Answers

Answer: The length is 15 feet.

Step-by-step explanation:

L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- width

But, the problem is asking for the length...

L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ft

please help me . beg you .

Answers

Answer:

24.3 cm

Step-by-step explanation:

length AC= 20²+12²= 544

√544= 23.3 cm

answer = 23.3²+7²= 591.89

√591.89= 24.3 cm

hope it helps! please mark me brainliest

thank you! have a good day ahead

if u follow me, i will follow u back

2/3 + 9/12 add fractions with unlike denominators

Answers

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} + \frac{9}{12}[/tex]   <-- let's change 2/3 into a fraction that has 12 as the denominator

[tex]\frac{2}{3}[/tex] × 4   <-- multiply both the numerator and the denominator by 4

2 × 4 = 8   <-- new numerator

3 × 4 = 12   <-- new denominator

now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]

[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex]    <-- let's change it into a mixed number

17 ÷ 12 = [tex]1\frac{5}{12}[/tex]

Answer: its 17/12

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer: 4.8

Step-by-step explanation:

Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?

Answers

Answer:

Alyssa=225

Eric=680

Step-by-step explanation:

The money Alyssa has $660 and  Eric has $245.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Alyssa has $75 less than three times Eric.

Let $x be the money Eric had.

Then Alyssa has 3x-75

Together they have $905.

So, x+3x-75=905

4x=905+75

4x=980

x=980/4

x=$245

Money Alyssa has 3x-75

= 3×245-75

= 735-75

= $660

Therefore, money Alyssa has $660 and  Eric has $245.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

please help its due tonight!!

Answers

Answer:

your really think ik the answer

Step-by-step explanation:

yea the  sorry

Answer:

y = 2. It is a horizontal line.

Step-by-step explanation:

The asymptote is the line that the function comes close to touching, but never will. Because the range is y > 2, you know that any value greater than 2 can and will be a y-coordinate, but the function will never have 2 as a y-coordinate. It will never touch the line y = 2, and therefore, y = 2 is the asymptote. Hope this helps!

A rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side? ​

Answers

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

hence, breadth = 89 cm .

thanks for ask question.

What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:

A' =(−3/4, −3/2)

A' = (4/3, 2/3)

A' = (2, 1)

A' =(2/3, 2/3)

Answers

Answer:

The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .

Step-by-step explanation:

Given

Point A (2, 1)

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 2/3 centered at the origin

P(x, y) → P'(2/3x, 2/3y)

Here, P'(2/3, 2/3y) is the image of P(x, y).

It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.

Thus,

A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)

Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .

I really don’t get this math how am i supposed to figure out which side is which?

Answers

Answer:

u can use "a squared + b squared = c squared"

in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.

Answer:

26

Step-by-step explanation:

You would use the Pythagorean theorem to solve for the last side.

Pythagorean theorem- a^2+b^2=c^2

a and b =sides

c=hypotenuse

Since you are finding the hypotenuse(c), you don't have to rearrange the formula

plug in a and b.

10^2+24^2=c^2

solve

100+576=c^2

676=c^2

do the square root of 676 to get rid of the c^2

26=c

Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:

Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3

Answers

Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

Help meee please.........

Answers

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

1/9x=5
solve for x
please show step by step

Answers

Answer:

x=1/45

Step-by-step explanation:

do the inverse

please mark it as brainliest!!<3

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

Answers

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

A. 24

B. 36

C. 180

D. 240

E. 1656

Cost of one candy = 69 cents  

Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

             = 60(20 + 4) + 9(20 + 4)

             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

Therefore, Options A, B, C and D are not possible partial products.

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In 7th grade, the ratio of boys to girls is 6 to 7. If there are 143 students in 7th grade, how many are girls? Do NOT write a label. Just write the number. act iii scene i of Romeo and Juliet how does this complication contribute to the central conflict of the play The Circle and CircleTester have been created, but they have errors. The public and private settings for variables and methods are not all correct. Your job is to go through and fix them. You will need to make edits in both files to get them working correctly, but once complete, your output should match the output below. Sample Output: Circle with a radius of 5.0 The diameter is 10.0 The perimeter is 31.41592653589793 CIRCLE.JAVA public class Circle { public double radius;private Circle(double myRadius) { radius = myRadius; private void setRadius(int myRadius){ radius = myRadius; } private double getDiameter() { return radius*2; } public double getRadius() { return radius; } private double getPerimeter() { return Math.PI*getDiameter(); } private String toString() { return "Circle with a radius of " + radius; } } CIRCLE TESTER.JAVA public class CircleTester { public static void main(String[] args) { Circle circ = new Circle(10); circ.radius = 5; System.out.println(circ); System.out.println("The diameter is " + circ.getDiameter()); System.out.println("The perimeter is " + circ.getPerimeter()) } } Romantic literature dominated American arts and letters up until the end of the 19th century. In "Fenimore Cooper's Literary Offences" Twain discusses how Cooper's writing fails because Cooper's writing focuses more on imagination than on any sort of logic or realistic depictions.How does Twain avoid these "literary offences" in "The Celebrated Jumping Frog of Calaveras County" and why is this avoidance significant? x + 6 >10 or 3x + 11 7 PLEASE HELP ME WITH THIS PROBLEM!!!! (Who ever answers the question for this lil bear> , gets Brainliest!!)Sam and Joe are working to solve 6 1/4___. Sam thinks the answer is 24. Joe thinks the answer is 1/24. Explain who is correct. Use a model to help explain your thinking : "You don't have to use a model to help explain your thinking, but I do recommend using one!" Read and match the sentences or expressions that make best sense together.MatchTermDefinitionAhmed usacuando tiene agua en la boca.A) el extractor de salivacuando tiene comida entre losJavier usadientesB) el hilo dentalMarta necesitatiene un diente malc) blanquearse los dientesTrisha tiene los dientes amarillos, ella va aD) el empaste a short paragraph (150-200) using 5-6 collocation 2x^-2 y^-2 x= 3 and y = 2? find the greatest common factor of the following:c) 2xy, 6xyd) 6xy, 9xy, 3xyf) 10ab, 20bc, 30ca On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inchesbetween the two walls, how many feet separate the walls? The component of electronic medical records that documents permission from the patient or family for surgeries or procedures is called Mahmoud "felt the stirrings of indignation, of anger, of sympathy" when he saw 2 boys attacking another boy for his bread; yet, he did nothing. What should he have done? What would YOU do? What event took place 100 years before King gave this speech? what is equivalent to the expression 2/5 divided by 4 This is a true or false question The Antifederalists didn't want to have a strong central government but also didn't want to ratify the constitution A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL that a blue marble is pulled? Points! ( you cant respond from the last 2 i did)have a nice day :) how many eighths make a quarter