What is the m∠QPT? Show work.

What Is The MQPT? Show Work.

Answers

Answer 1

Answer:

m∠QPT = 32°

Step-by-step explanation:

∠QPT and ∠SPR are vertical angles, meaning that the measure of their angles are congruent (the same).


Vertical angles are formed when two lines intersect, creating opposite angles. Those opposites are congruent (equal).

Step 1: Set the measure of the angles to equal each other.

[tex]\implies m \angle QPT = m \angle SPR[/tex]

[tex]\implies (2x+12) = (4x - 8)[/tex]

Step 2: Subtract 4x from both sides.

[tex]\implies 2x-4x+12 = 4x - 4x - 8[/tex]

[tex]\implies -2x+12 = - 8[/tex]

Step 3: Subtract 12 from both sides.

[tex]\implies -2x+12-12 = - 8-12[/tex]

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

Step 4: Divide both sides by -2.

[tex]\implies \dfrac{-2x}{-2} = \dfrac{-20}{-2}[/tex]

[tex]\implies x = 10[/tex]

Step 5: Find the measure of ∠QPT by substituting 10 for x.

[tex]\implies [2(10)+12]^{\circ}[/tex]

[tex]\implies 32^{\circ}[/tex]

Therefore, the measure of ∠QPT is 32°.


Related Questions

a printer cartridge with 3 2/3 millilters of ink will print off 2/4 of a box of paper. How many millilters of ink will it take to print an entire box

Answers

2/4 box of paper = 1/2 box of paper

3 2/3 mL / 1/2 box of paper = x mL / 1 box paper
Solve for x.

x = 7 1/3 milliliters of ink

Jared is trying to save up to buy a car. He has already saved
$400. He makes $20 an hour (h) at his job. Jared needs to
have $1200 or more in order to buy the car he wants.
Write an inequality to represent the number of hours Jared
will have to work in order to save enough money to buy the
car.
Select one:
O 20h + 1200 ≤ 400
O 1200h + 400 > 20
O 400h+20 > 1200
O 20h-400 ≥ 1200
O 20h + 400 > 1200
O 400h+20 > 1200

Answers

Answer:

20h+400>=1200

Step-by-step explanation:

400 is the money Jared already has

20 is what he earns per hour

h is how many hours he works

1200 is the total he needs to buy the car

Answer:

the answer is 20h+400>1200

How do u distributive property to find the product 27x34=27x(30+4)

Answers

The distributive property for the product of 27x34 will give a value of 918.

What is distributive property?

It should be noted that distributive property simply means that one can distribute the contents of the parentheses into the other so that one can get the answer.

The distributive property is illustrated as:

a × (b + c) = a×b + a×c

In this case, using distributive property to find the product 27x34 will be:

=27x(30+4)

= 27 × 30 + 27 × 4

= 810 + 108

= 918

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After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share?

Answers

Answer:

$540 is the original price of the share.

Step-by-step explanation:

Original price = ​final price ÷ (1 - percentage (in decimal form))

Original price = $324 ÷ (1 - 0.40)

Original price = $324 ÷ 0.6

Original price = $540

Write an equation in standard form for the line that passes through the given points
(7,0) and (0, -4)

Answers

Answer:

y = 0.57143x - 4

Step-by-step explanation:

i need help show your work

Answers

Answer:

C 11

Step-by-step explanation:

1.work out the value of x from the given equation

[tex]5x = 10 - 6[/tex]

[tex]5x = 4[/tex]

[tex]x = \frac{4}{5} [/tex]

2. use this x value and substitute it into the other equation to determine your answer

[tex]10( \frac{4}{5} ) + 3[/tex]

[tex]answer = 11[/tex]

Jordan and his friends bought a few items from a store. a bag of chips is 1/4 the cost of a sandwich . A soda is 3$less than a sandwich.

Write an expression to represent the items

Answers

I’m not sure if the expression should be for the cost, which can be shown by:
(9/4)x - 3 = total cost of the items, where x is the cost of a sandwich.

For the items individually,
(1/4)x = y, where y is the cost of a bag of chips.
x - 3 = z, where z is the cost of a soda.
Combining each individual expression, it becomes:
x + y + z = total cost.
(x) + ((1/4)x) + (x-3) = total cost
= (9/4)x - 3

This assumes Jordan and his friends bought a sandwich + soda + bag of chips.




You could try writing without variables to help picture the expression:
(1/4)sandwich = bag of chips
and
sandwich - $3 = soda

If x represents the cost of a sandwich, this can be rewritten as:
x + x - 3 + (1/4)x

There are like terms with x, so it can simplify further: (9/4)x - 3 = total cost of the items.
Hopefully this makes sense!

Answer:

I have the same answer and I don't knownit

Shay, Jeremy, and Briana dive into a deep lake. Shay dives to a depth of - 2 ¾ meters from the surface of the lake. Jeremy’s depth is 0.50 meters deeper than Shay’s dive. Briana’s depth is ⅘ the depth of Jeremy’s dive. What is Briana’s depth?

0.40 meters
























For a science experiment, Shanice recorded the temperature outside for five days. On the first day, the temperature was 4.5˚C. The next day, the temperature dropped 3 degrees. Following that, the temperature increased by 1.9 degrees, then dropped by 4.2 degrees, and finally dropped by 3.4 degrees again.

What was the average change in temperature? Show your thinking.
























Over the past 3 ½ years, the water level in a water tank has decreased by 0.6 feet per year. If the water level is 11.4 feet today, what was the water level 3 ½ years ago? Show your thinking.






















Compute.

15623= 11/6 x 3/2=11/2x1/2= 2 3/4















In December the temperature before sunrise was -5℉. The temperature then rose an average of ¼ degree each hour for 4 hours before dropping an average of 1 ¾ degrees each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 7 hours?













6a. What is 314+56 ?







6b. Compute. 412123






6c. Compute. 124

18
16
2
8

Answers

Answer:

shay is at a 0.50 meters and Jeremy is not

Step-by-step explanation:

professor jones is interested in the effects of eating chocolate on test performance. he randomly assigns students to either an experimental group or a control group. he gives chocolate to the students in the experimental group and nothing to the students in the control group prior to passing out the exam. after scoring all the tests, he found that the students in the experimental group scored on average ten points higher than the students in the control group. in this experiment what is the independent variable?

Answers

In the given experiment x is the independent variable.

Given that, professor Jones found that the students in the experimental group scored on average 10 points higher than the students in the control group.

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 =.

Let the average score of control group be x and the average score of experimental group be y.

Now, y=x+10

Therefore, in the given experiment x is the independent variable.

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What is transitive property/

Answers

If two quantities are equal to the third quantity, then we can say all the quantities equal to each other

Multiply.
Enter your answer by
filling in the boxes.
7× ³/4=

Answers

Answer:

The answer is 5.25

Trust me it is right,

7 x 3/4= 5.25

Step-by-step explanation:

Good Luck!

The answer will be 5.25

the product of two positive consecutive integers is 132. find the integers

Answers

The two positive consecutive integers with product of  132 are 11 and 12

How to determine the integers?

From the question, the statement is given as

the product of two positive consecutive integers is 132.

Represent the consecutive integers with x and y

Where y = x + 1

So, we have

the product of x and y is 132.

Mathematically, this can be represented as

x * y = 132

Substitute y = x + 1 in x * y = 132

x * (x + 1) = 132

Express 132 as 11 * 12

x * (x + 1) = 11 * 12

This means that

x =11

Substitute x =11 in y = x + 1

y = 11 + 1

Evaluate

y = 12

Hence, the integers are 11 and 12

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

The solution of the equation ( x - 7 ) × 2 = 36  is x = 25

The equation is

( x - 7 ) × 2 = 36

To solve this equation we have to rearrange the terms and do the arithmetic operations

The arithmetic operation is a branch of mathematics. The basic arithmetic operations are addition, subtraction, division and multiplication.

Move the 2 to the right hand side of the equation

x - 7 = 36 / 2

Divide the term

x - 7 = 18

Move the 7 to the right hand side of the equation

x = 18 + 7

Add the term

x = 25

Hence, the solution of the equation ( x - 7 ) × 2 = 36  is x = 25

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Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for it.13 cm16 cmThe volume is aboutcm3

Answers

we know that

the volume of the cone is equal to

[tex]V=\frac{1}{3}\cdot\pi^{}\cdot r^2\cdot h[/tex]

we have

pi=3.14

r=13 cm

h=16 cm

substitute

[tex]\begin{gathered} v=\frac{1}{3}\cdot3.14\cdot(13^2)\cdot16 \\ v=2,830.2\text{ cm\textasciicircum{}3} \end{gathered}[/tex]Volume is about 2,830.2 cubic centimeters

Yüz milyon bir nasıl yazılıyor​

Answers

Answer:

100,000,001

I hope this helps, have a great day/night!

Find the Area of the irregular polygon

Answers

Answer: 242 square ft

Step-by-step explanation:

Divide the polygon into 2 pieces so you have 2 rectangles. Then find the area of both rectangles.

Diego bought some raisins and walnuts to make trailmix. Raisins cost $4 a pound and walnuts cost $8 apound.Diego spent $24 on both ingredients. Diego bought atotal of 5 pounds of raisins and walnuts combined.There are two constraints represented here (COST &WEIGHT).Write an equation for each constraint. This shouldcreate a system of linear equations.Let x = pounds of raisinsy = pounds of walnuts

Answers

Let x = pounds of raisins

Let y = pounds of walnuts

The first linear equation for the system is representing COST

[tex]\text{ \$4x + \$8y = \$24}[/tex]

The second linear equation for the system is representing WEIGHT

[tex]x\text{ + y = 5}[/tex]

Hence the two-equation for each constraint are

[tex]\begin{gathered} \text{\$4x + \$8y = \$24} \\ x\text{ + y = 5} \\ \end{gathered}[/tex]

What is the equation of the line that passes through the point (-2, -2) and has
slope of 3?

Answers

It would be exactly y= 3x-2

Plsss help asap plssss

Answers

Answer:

D)

Step-by-step explanation:

Alternate interior angles: Alternate interior angles are formed inside the two parallel lines, when intersected by transversal and are equal to its alternate pairs.

AB // CD, BC is transversal

∠2 = ∠4   {Alternate interior angles}

∠2 = 35

Simplify fully 2(m+11)/10m

Answers

On simplifying the given equation, the result would be: 1/5 + 11/5m

How to simplify expressions?

The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.

The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.

Let's review a few key words that are utilized while simplifying an expression:

In an algebraic expression, a variable is a letter whose value is unknowable.

A numerical value used in conjunction with a variable is the coefficient.

A phrase with a known value is referred to as a constant.

Similar letter and power variables are referred to as like words. Sometimes various coefficients might be found between like terms. For instance, the phrases 6x2 and 5x2 are comparable because they both have variables with exponents of 2. Similar to this, 7yx and 5xz are dissimilar concepts because they each have unique variables.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:

-By multiplying factors, remove any grouping symbols like brackets and parenthesis.

-If the terms contain exponents, use the exponent rule to eliminate grouping.

-Add or subtract like terms to combine them.

Add the constants together.

As per the question:

2(m+11)/10m =(m+11)/5m

                    =1/5 + 11/5m

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10. The cost of one movie ticket for an adult is 1.6 times the cost of a ticket for a child. If a equals the cost of one adult ticket and c equals the cost of one child ticket, which equation represents the relationship between a and c? A. c= 1.62B. 1.6 =a -cC. a = 1.6cD 1.6 =a + c

Answers

1) Gathering the data

a =adult ticket

c= 1 child ticket

2) According to the question, we can write:

a=1.6c

Note that the ticket for the adults is more expensive than for kids. So we can state this about both prices of tickets

a =1.6c

write a recursive formula:
7, 10, 13, 16
write an explicit formula:
-8, -13, -18, -23

Answers

The recursive formula of the sequence 7, 10, 13, 16 is [tex]a_n = a_{n-1} + 3[/tex].

The explicit formula of the sequence -8, -13, -18, -23 is a(n) = -8 + (n-1)(-5).

What is recursive formula?

A recursive formula is one that defines each term in a sequence by reference to the one before it (s). The following parameters are defined using the recursive formulas:

The opening phrase of the seriesThe formula to calculate any phrase from its previous term

In order to find the recursive formula we first need to calculate the difference between each term. So,

Second term - First term = 10 - 7 = 3

Therefore the recursive formula is [tex]a_n = a_{n-1} + 3[/tex]

In order to find the explicit formula we first need to calculate the difference between each term. So,

Second term - First term = -13 - (-8) = -5

Therefore the explicit formula is  a(n) = -8 + (n-1)(-5).

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If a $500 deposit earns 4.25% interest compounded monthly, how much will be in the account at the end of 3 years? round your answer to the nearest cent.

Answers

Based on the amount invested, and the interest, the amount after 3 years would be $567.86

The interest is compounded monthly  so you must convert it to a monthly rate:

= 4.25% / 12 months

= 4.25/12%

Number of periods:

= 3 years x 12 months

= 36 months

The future value of this amount is:

= Amount x ( 1 + rate) ^ number of periods

= 500 x ( 1 + 4.25/12%)³⁶

= $567.86

In conclusion, the amount would be $567.86

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what is the domain of f?

Answers

Answer:

x ∈ {-8, 0, 2, 4, 7}

Step-by-step explanation:

The domain is the set of x-coordinates.

The domain of the function f(x) is:

x ∈ {-8, 0, 2, 4, 7}

How can you use a number line to represent the subtraction between two integers?

Answers

Answer:

down below

Step-by-step explanation:

You can use a number line to show the subtraction between two integers by plotting the first night number and then move backwards, (left) however many spaces you are subtracting by. It is a visual representation of subtraction.

Hope this helps! :)

Your distance from lightning varies directly with
the time it takes you to hear thunder. If you
hear thunder 10 seconds after you see lightning,
you are about 2 miles from the lightning.
Estimate how many seconds it would take for
the thunder to travel a distance of 5 miles.?

Answers

The time taken by thunder to travel a distance of 5 miles is 25 seconds.

Which is the direct variation?A direct variation, as well known as a direct proportion, is a relationship that exists between two variables.Your distance from lightning differs directly with duration it takes you to hear thunder. If you hear thunder 10 seconds upon seeing lightning, you are approximately 2 miles away.

Let d denote the distance and t the time.

Distance varies linearly with time, implying that distance is proportional to time.

Distance ∝ Time

d ∝ t

When the proportionality symbol is removed;

d = kt or k = d/t

Where k is the constant of proportionality.

In the equation, d = 2 and t = 10 are substituted.

k = 2/10 = 1/5

Therefore,

The following is a direct variation formula for the correlation between time and distance: d = (1/5)t

Now, for the distance of 5 miles, the time taken by the thunder is-

5 = (1/5)t

t = 5 × 5

t = 25 seconds.

Thus, the time taken by thunder to travel a distance of 5 miles is 25 seconds.

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Write as a monomial in standard form.

Answers

The expression will be written in monomial standard form as -64x⁶a³.

A monomial may be defined as an expression which consists of only one term. If we are to write an expression in monomial standard form, then we will have to form an expression consisting of numbers and variable along with their powers. The variable containing the maximum power will be written first and so on. In the question we have to write monomial standard form of third power of (-4ax³). This can be written as

(-4ax³)³ and on further expanding

-64a³x⁶, but in standard from we write the variable having maximum power first, so we rearrange the terms, and we get

-64x⁶a³ which is the required answer.

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Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?

Answers

27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.

As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,

The total height = distance between pool surface to platform + the depth of the pool

∵ The total height =  15 ft. + 12 ft.= 27 ft.

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2(8-2x)+2(4-2x)=18 what is x?

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer: x = 3/4

Step-by-step explanation:

2(8 - 2x) + 2(4 - 2x) = 18

2(-2 x 8) + 2(4 - 2x) = 18

-4x + 16 + 2(4 - 2x) = 18

-4x + 16 + 2(2x + 4) = 18

-4x + 16 - 4x + 8 = 18

-4x + 24 - 4x = 18

-8x + 24 = 18

-8x + 24 - 24 = 18 - 24

-8x = -6

-8x/-8 = -6/-8

x = 3/4

Darlene has 634 gallons of gasoline. Every time she mows her lawn, she uses 38 gallon. How many times can she mow her lawn before she needs more gas?

Answers

Answer: 16 times

Step-by-step explanation:

So in this situation, an equation helps!

634 = 38x

Where 634 is the number of gallons of gas she has; 38x is how much she needs to mow her lawn each time.

Now simply divide!

If we round we get x= 16.68 however this is not the correct answer because you can't mow 68/100 of a lawn! So even though 0.68 is greater than 0.5, we would round down to 16.

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In this excerpt from Phillip Freneau's poem American Liberty, the speaker describes being slaves and minions to a parliament. What is the intended meaning of this hyperbole?And should we now when spread thro' ev'ry shore,Submit to that our fathers shunn'd before?Should we, just heaven, our blood and labour spent,be slaves and minions to a parliament?Perish the thought, nor may one wretch remain,Who dares not fight and in our cause be slain; A. The speaker feels that the colonists should pay their share of taxes. B. The speaker believes that the British government is broken and should be fixed. C. The speaker thinks that the colonists are being unfairly treated by the British government. D. The speaker intends to lead a slave revolt against the British government.Reset Next What did the Aztecs believe they would get for sacrificing Tlahuicoles heart to the sun god Huitzilopochtli? I need help with this question MATCH THE ITEMS ASAP PLEASEEE1 . GCFa number to be multiplied2 . prime number53 . composite number64 . LCMgreatest common factor5 . factorleast common multiple Underline the word that means"not correct."Keeping things clean was not an immediate result of Pasteur'sdiscovery. It took time. Still, Pasteur's discovery of microbes was thebeginning of people seeing how disease spread. Eventually, doctorsbegan to acknowledge their improper habits. They recognized theneed to wash their hands and instruments. Please answer for 20 points You are to write an essay addressing the global health crisis brought on by COVID-19. How does China rank among countries that send their students to American colleges now? Ian is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Ian is riding for 2 miles? How much would a taxi ride cost that is mm miles long? What is the correct answer there are more selective choices Ill show you later Part 1Assume that as awave travels from one particular medium to another, its speed decreases.What happens to the wave's frequency?A.Its frequency increases.B.Its frequency decreases.C.Its frequency remains the same.D.It is impossible to determine without more data.Part 2Which best explains the correct answer to Part 1?A.A wave's frequencyalways remains the same.B.A wave'sfrequency is inversely proportional to its speed.C.Given that thewave's wavelength remains the same, if the wave's speed decreases, then thefrequency must decrease.D.Given that a wave's speed is equal to the product of its wavelength and frequency, thewavelength must be known to determine the frequency. what is 7754-(9x34)+667 Select all correct solutions for the equation. 15(2x - 10) + 4x = -2(15x + 4)A. x = 2.21875B. x = 14264x = 14264C. x = 35.5D. x = 7132x = 7132E. x = 39.5F. x = 792x = 792G. x = 714 Find the circumference and area of the figure if each unit on the graph measures 1 centimeter Round answers to the nearest tenth, if necessaryA(2,3) B(4,1) HELP YALL PLEASE THIS IS URGENT(ando and inendo btw) 22. The Rotavirus vaccine can haveeffect. 6. Taylor lost 5 chips to Minnie while playing a card game. Taylor then lost 20 chips toSally in the second round. Taylor won 10 chips from Paul in the 3rd round. Howmany chips did Taylor make or lose during these 3 rounds? a. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change) of the line?d. What does this number mean for the circus?e. What is the y-intercept (initial condition) of the line? Why? Yvonne is training for the marathon. She calculates to see whether she can cover 9 miles in 10 minutes. But she completes the distance in 8 minutes. What is the percent error in Yvonne's calculation? can someone help me with this