Given: QR I PT and ZQPR = ZSTR
Angles Segments Triangles Statements Reasons
Prove: APQR - ATSR
ZQPR
ZQRP
ZSRT
ZSTR
Q
Statements
Reasons
S
R
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Intro

Given: QR I PT And ZQPR = ZSTRAngles Segments Triangles Statements ReasonsProve: APQR - ATSRZQPRZQRPZSRTZSTRQStatementsReasonsSRAssemble

Answers

Answer 1

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

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Answer 2

Answer:

Step-by-step explanation:

Given: QR I PT And ZQPR = ZSTRAngles Segments Triangles Statements ReasonsProve: APQR - ATSRZQPRZQRPZSRTZSTRQStatementsReasonsSRAssemble

Related Questions

-
Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.

Answers

Answer:

The blue point will be at (4, 3)

Step-by-step explanation:

Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.

Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.

GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.

Answers

Step-by-step explanation:

Z-score = (score-mean)/standard deviation

= (3.06-2.38)/0.45

= +1.51

The significance of z-score will be "1.5111".

Given values are:

Mean,

[tex]\mu = 2.38[/tex]

Standard deviation,

[tex]\sigma = 0.45[/tex]

GPA,

[tex]\bar x = 3.06[/tex]

Now,

→ The z-score will be:

= [tex]\frac{\bar x - \mu}{\sigma}[/tex]

By putting the given values, we get

= [tex]\frac{3.06-2.38}{0.45}[/tex]

= [tex]\frac{0.68}{0.45}[/tex]

= [tex]1.5111[/tex]

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Draw a vector representing the course of a ship that goes 50 miles on a
course with direction 2400.

Answers

Answer:

The answer is below

Step-by-step explanation:

We have a vector with a magnitude of 50 miles and a direction of 240 °.

To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.

Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.

The value on the x-axis can be calculated using the sine of the angle, like this:

sin 30 ° = x / 50

x = sin 30 ° * 50

x = 25, how is the third quadrant would be -25

Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:

y ^ 2 = 50 ^ 2 - 25 ^ 2

y ^ 2 = 1875

y = 43.3, -43.3 because it must be located in the fourth quadrant

Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).

Then I leave a sketch of what it would be:

18
20
86
94
It’s eighth grade math

Answers

Answer:

x = 18

Step-by-step explanation:

We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:

5x - 4 + 94 = 180

5x + 90 = 180

5x = 90

x = 18

Answer:

I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.

x = 18

Step-by-step explanation:

First step: 5x - 4 + 94 = 180

Second step: 5x + 90 = 180

Last step: 5x = 90

So, therefore, your correct answer is: x = 18

Please help solve i give brainliest

Answers

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

Since both equations are equal to y, set them equal to each other

2x+3 = -3x+3

Subtract 3 from each side

2x = -3x

Add 3x to each sdie

2x+3x = -3x+3x

5x =0

Divide by 5

x=0

Now solve for y

y =2x+3

y = 0+3

y=3

(0,3)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

2x+3 = -3x+3

2x = -3x

2x+3x = -3x+3x

5x =0

x=0

The solve for y

y =2x+3

y = 0+3

y=3

(x,y)=(0,3)

Then (0,3) will be your answer!

Hope this help!

A company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 100 customers and asks them about their level of satisfaction with the company.what type of sampling method is use

Answers

Answer:

The type of sampling method used is:

Simple random sampling.

Step-by-step explanation:

A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.

Answer:

B. simple random sampling

Step-by-step explanation:

right on edge

HELP A GIRLL OUT I GAVE YOU ALL MY POINTS!! HELPP! 1. a. What is James’s new texting speed if he practices for only 1 month? __________ b. What is James’s new texting speed if he practices for 2 months? ____________ c. What is his new texting speed if he practices for 3 months? _____________ 2. Write an algebraic equation that gives James’s texting speed s for m months of practice. 3. solve the equation from question 2 to determine how many months of practice it will take before james texting speed reaches 8 characters per second. Lynda would also like to complete in the same speed texting completion as james she currently texts at the rate of 4 characters per second but will only have 10 months to practice before the completion. 4. if Lynda wants to text at least 8 characters per second like james then the equation 10r+4=8 could be used to model this situation. Solve for r. 5. Explain what the variable r represents in the equation given in question 4. 6. Consider the equation 8x+5=37 write a real life scenario that this equation could model.

Answers

Answer:

1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.

b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.

c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.

2. The answer is s = 1/2m + 2

3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.

4. 10r + 4 = 8 → 10r = 4 → r = 0.4

5. The variable r represents the rate she must increase her texting speed by per month.

6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".

Ryan had $80. He spent $32 on a book. what percentage of his money did he spend on the book? What percentage of his money did he have left?

Answers

Answer:

40% spent. 60% left.

Step-by-step explanation:

To find the percentage spent, divide the two values, then multiply by 100.

$32 / $80 = 0.40    0.40 x 100 = 40% spent.

To find the percentage of money left, subtract the two values.

$80 -$32 = $48

Then, divide the two values and multiply by 100.

$48 / $80 = 0.60   0.60 x 100 = 60% left.

if straykids hyunjin had 50,000 won and wanted to by lots of 45rings for 500 won how much will he have left? b) if changbin and han had 145 lightsicks and sold 75? how much lighsticks will they have now?

Answers

Answer:

a) he would have 27500 won

b) changbin and han would have 70 lightsticks

Step-by-step explanation:

a)

multiply 45 rings by 500 won to get the total expense

45 x 500 = 22500

then subtract 22500 won from 50000 to get the amount left after the purchase

50000 - 22500 = 27500

this results in 27500 won total

b)

subtract 75 from 145 to get the amount left

145 - 75 = 70

Answer:

Hyunjin has 27,500 left.

Changbin & Han have 70 lightsticks left.

Step-by-step explanation:

A) 45 × 500 = 22500      50,000 - 22500 = 27500

B) 145 - 75 = 70

the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2

Answers

Answer:

B. Is the Answer 100 m²

Step-by-step explanation:

The ratio of the two solid is 729/125  

The ratio of the surface area = (729/125)^(2/3)=81/25  

Surface area = 25 * 324 / 81 = 100 m²

I need help with number 12

Answers

Answer:

C.

Step-by-step explanation:

add up all of the angles correct ft im not sure but i think its C.

The answer is C hope this helped

2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.

Answers

Question

Points A, B and C are all on the

circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°

Work out the size of angle x

Answer:

62°

Step-by-step explanation:

To solve for the above question, we would be using circle theorems.

Step 1

Angle OBD = 90° This is because a radius and a tangent meet at 90°

Step 2

The sum of Angles in a triangle = 180°

180° = Angle OBD + Angle BDO + Angle BOD

180° = 90° + 31° + Angle BOD

Angle BOD = 180° - (90° + 31°)

= 180° - 121°

Angle BOD = 59°

Step 3

Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°

Step 4

The sum of angles of a straight line = 180°

Angle BOD, Angle AOD and Angle x are angles on a straight line

Hence,

180° = Angle BOD + Angle AOD + Angle x

180° = 59° + 59° + x

x = 180° - ( 59 + 59)°

x = 180° - 118°

x = 62°

Therefore Angle x = 62°

Plzzz help 11/10(-2x-1)-16

Answers

Answer:

[tex] - \frac{11}{5} x - \frac{171}{10} [/tex]

Solution,

[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-11/5x+-171/10

Step-by-step explanation: I believe its this answer unless you want it graphed

Find the missing length indicated.

Answers

Answer:

Step-by-step explanation:

x=✓25*9

x=✓5^2*3^2

x=5*3

x=15

Find the area of the triangle. ANSWERS: A) 84 m2 B) 66 m2 C) 42 m2 D) 132 m2

Answers

Answer:

C

Step-by-step explanation:

........

Answer:

42

Step-by-step explanation:

Area= 1/2(bh)

Area=1/2(12)(7)

Area=1/2)(84)

Area=42

I need help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

This is just comparing what is bigger, I don't see what's so hard about it.

Step-by-step explanation:

1. >

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6.<

7.>

8.<

b.

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2.<

3.>

4.<

5.>

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7.>

8.>

1) a: > b: >
2) a: > b: <
3) a: > b: >
4) a: > b: <
5) a: < b: >
6) a: < b: >
7) a: > b: >
8) a: < b: >

Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2

Answers

Answer:

The answer is option A.

804.2cm²

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

*PLEASE ANSWER* (: Find the measure of angle A.

Answers

Answer:

B. 120°

Step-by-step explanation:

If two tangents intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.

m∠A° = 1/2(300 - 60)

m∠A° = 1/2(240)

m∠A° = 120

The answer for you question is “B”

Please help me out I need it done ASAP

Answers

Answer:

B. 141 ft.

Step-by-step explanation:

Just saw this.

Which expressions are equivalent to the one below? Check all that apply.
4^3•4x

Answers

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

What is an expression?

An expression is a combination of symbols and it does not convey full meaning of anything.

How to make equivalent expressions?

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

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A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.

Answers

Answer:

-35 dollar net loss

Step-by-step explanation:

Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.

Need Help Please I'm Out Of Time ;(

Which of the following questions are statistical questions? Select all that apply

How far does Mary live from school?
How many students were absent from Mrs. Jenssen's class today?
How tall are the sixth-grade students in your school?
How many pull-ups can each student in your class do?
What was the temperature at 4 p.m. each day this week?

Answers

Answer:

last three questions are statistical question

Answer:

The last three questions

Step-by-step explanation:

The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.

Answers

Answer:

50

Step-by-step explanation:

I have set up an equation, where 'x' is the larger number:

x + (x - 12) = 88

Solve for 'x':

x + (x - 12) = 88  

x + x - 12 = 88

2x - 12 = 88

2x -12 + 12 = 88 + 12

2x =  100

2x/2 = 100/2

x = 50

The larger number should be 50.

Answer:50

Step-by-step explanation:


10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?

Answers

Answer:

2 1/3 hours or 2 hours 20 minutes.

51.4 mph to 1 decimal place.

Step-by-step explanation:

Time = distance  speed

First 50 miles time taken = 50 / 60  = 5/6 hours

Second 50 miles  -  time  =  50/40 = 5/4 hours.

Final 20 miles - time taken =  20 / 80 = 1/4 hours.

Total time taken = 5/6 + 5/4 + 1/4

= 5/6 + 6/4

= 10/12 + 18/12

= 28/12

=  7/3 or 2 1/3 hours or 2 hours 20 minutes.

Average speed = total distance / total time

=  120 / 7/3

= 120 * 3/7

=  51.4 mph to 1 decimal place.

Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?

Answers

Answer:

D. The coefficient of the x^2-term must be positive.

Step-by-step explanation:

A. The coefficient of the x2-term can't be zero.

B. There can be no term whose degree is higher than 2.

C. One side of the equation must be zero.

D. The coefficient of the x2-term must be positive.

Quadratic equation is given as:

y=ax^2+bx+c

To use the quadratic formula,we have

ax^2+by+c=0

Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0

There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2

One side of the equation must be 0, that is ax^2+by+c=0

Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a

PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.

Answers

Answer:

No it’s not a translation

Step-by-step explanation:

No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.

Edward has a pile of marbles. If he counts by 3, there are 2 left. If he counts by 4, there are 3 left. If he counts by 5, there are 4 left. Let be the total number of marbles. If is between 170 and 190, what is the product of all digits of ?

Answers

Answer:this is stupid

Step-by-step explanation:who the hell does that

Help will mark brainliest!

Answers

16:24
If 1:1 therefore 24:24 therefore 24-8 = 16

Answer:

2 : 3

Step-by-step explanation:

Total number of cards = 48

Red cards/black cards = 1/1

(so, 24 each of read and black cards)

8 red cards are removed.

Now, there will be (24-8) number of cards left in the pack which equals to 16 cards.

So, now the number of red cards in the pack= 16

Number of black cards = 24

Ratio of red card/ black card

[tex] = \frac{16}{24} [/tex]

[tex] = \frac{2}{3} [/tex]

= 2 : 3

Hope this helps...

Good luck on your assignment...

You would like to have ​$4000 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays 4.5​% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.

Answers

Answer:

666.70 at the end of every six months.

Step-by-step explanation:

At the end of  every six months deposit amount is 666.70

What is compound interest ?

Compound interest is the interest paid on both principal and interest, compounded at regular intervals.

Formula of compound interest :

[tex]A = P(1+\frac{r}{100} )^{n}[/tex]

where,

A = final amount

P = initial principal

n = time in years

r = rate per annum

According to the question

Final Amount needed for a special vacation (A) = ​$4000

Time in years needed to collect Amount (n) =  3 years

Rate per compounded semiannually (r) = 4.5​%

Substituting values in formula for six months

Now time (n) = 3 * 6 = 18 years

using formula of compound interest

[tex]A = P(1+\frac{r}{100} )^{n}[/tex]

[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]

[tex]4000 = P(1.045 )^{18}[/tex]

now,

P = 666.70

Hence, at the end of  every six months deposit amount is 666.70

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Graph: f(x) = 22-1
Step 1: Find the value of x that makes the exponent zero
by solving this equation: x-1 = 0

Answers

Answer:

Step-by-step explanation:

To graph an exponential function f(x) = [tex]2^{x-1}[/tex],

Step - 1 :

Find the value of x that makes the exponent 0.

x - 1 = 0

x = 1

f(1) = 2⁰ = 1

Similarly, for other input values (x- values),

For x = 2,

f(2) = [tex]2^{2-1}[/tex]

     = 2¹

     = 2

For x = 3

f(3) = [tex]2^{3-1}[/tex]

     = 2²

     = 4

For x = 4

f(4) = [tex]2^{4-1}[/tex]  

     = 2³

     = 8

Therefore, table for input - output values will be,

x        1            2            3          4

f(x)     1            2            4          8

Answer:

:>

Step-by-step explanation:

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Which of the following would be a logical insertion at the beginning of sentence 14 (reprinted below)? Once a traffic light is installed, cars that arrive at the light when it is green won't have to stop at all. Sadly, Unfortunately, At the beginning, Additionally, Nevertheless, where is most of the energy produced in cellular respiration At what temperature will silver have a resistivity that is two times the resistivity of iron at room temperature? (Assume room temperature is 20 C.) 7.1 A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then she wins one-half of the value that appears on the die. Determine her expected winnings. HH Industries has 50 million shares that are currently trading for $4 per share and $200 million worth of debt. The debt is risk free and has and interest rate of 5%, and the expected return of HH stock is 11%. Suppose a strike causes the price of HH stock to fall 25% to $3 per share. The value of the risk free debt is unchanged. Assuming there are no taxes and the risk of HH's assets is unchanged, what happens to HH's equity cost of capital San Martn's strategy to consolidate independence There are zero coupon bonds outstanding that have a YTM of 6.27 percent and mature in 14 years. The bonds have a par value of $10,000. If we assume semiannual compounding, what is the price of the bonds? Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0 ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions. Miller Corporation has a premium bond making semiannual payments. The bond has a coupon rate of 10 percent, a YTM of 8 percent, and 14 years to maturity. The Modigliani Company has a discount bond making semiannual payments. This bond has a coupon rate of 8 percent, a YTM of 10 percent, and also has 14 years to maturity. Both bonds have a par value of $1,000.a. What is the price of each bond today?b. If interest rates remain unchanged, what do you expect the prices of these bonds to be 1 year from now? In 4 years? In 9 years? In 13 years? In 14 years?Price of bond Miller Corporation Bond Modigliani Company Bond1 year $ _________ $ _________ 4 years $ _________ $_________ 9 years $ _________ $_________ 13 years $ _________ $ _________ 14 years $_________ $_________ If a company made a bank deposit on September 30 that did not appear on the bank statement dated September 30, in preparing the September 30 bank reconciliation, the company should: everyone in my english class passed the test, Jaylen is in my english class, therefore Jaylen passed the test. The major premise is: -in my class-jaylen -my english-passed the test List the functions of proteins I need a good magazine title so list out a few ideas. Should be original btw help me I need this answer asap pls :( Solve the system by graphing (Simplify your answer completely.)Will someone please help me with this and give an explanation on how you got it? I dont understand.{x+y=8 {x-y=4 4 builders are building some new classrooms at Trinity. It takes them 5 months to build the classrooms. How long will it take 10 builders? Please help me !!!!!!!!!!!! Assessment started: undefined. Item 1 Which statement accurately describes what happens when ice melts in terms of energy? A:The ice releases energy which causes chemical bonds to break, changing the ice to water.;B:The ice releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from solid to liquid. C:The ice absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a solid to a liquid. D:The ice absorbs energy which causes chemical bonds to break, changing ice to water. Please answer it now in two minutes