given m∠RPS=3x-38° m∠QPR=7x-95° find m ∠QPR

Given MRPS=3x-38 MQPR=7x-95 Find M QPR

Answers

Answer 1

Answer:

m∠QPR = 31°

Step-by-step explanation:

So, let's keep in mind that QPS = 47 Degrees

Given that, we find that 3x - 38 + 7x - 95 = 47

from this, 10x - 133 = 47

then => 10x = 180

x = 18

So now we plug it in

--> 3(18) - 38 = RPS

54 - 38 = 16

RPS = 16 Degrees

--> 7(18) - 95 = QPR

126 - 95 = QPR

QPR = 31 Degrees

and Thus, m angle QPR is equal to 31 Degrees

Checks:

16 + 31 = 47

Total = 47

So it is correct

Hope this helps!

Answer 2

The measure of angle QPR is 31°.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given that, m∠QPS=47°, m∠RPS=3x-38° and m∠QPR=7x-95°.

Here, m∠QPS=m∠RPS+m∠QPR

3x-38°+7x-95°=47°

10x-133°=47°

10x=180°

x=18°

So, m∠QPR=7×18°-95°

m∠QPR=126°-95°

m∠QPR=31°

Therefore, the measure of angle QPR is 31°.

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Related Questions

Which equation describes a parabola that opens left or right and whose
vertex is at the point (h, v)?
A. y = a(x - 1)2 + 1
B. x = aly - y)2 + h
C. x = aly - h)2 + V
O D. y = a(x - h)2 + V

Answers

Answer:

  B.  x = a(y - v)^2 + h

Step-by-step explanation:

The basic equation is ...

  x = f(y)

  x = y^2

To translate the vertex from (0, 0) to (h, v), we replace x with (x-h) and y with (y-v). Now, we have ...

  x -h = (y -v)^2

To scale the graph horizontally by a factor of "a", we multiply the right side by "a":

  x -h = a(y -v)^2

Adding h gives the form you want to compare to the answer list:

  x = a(y -v)^2 +h

_____

The attachment shows an example for (h, v) = (4, 3).

Answer:

B

Step-by-step explanation:

Hopefully this helps :)

Jay says that this graph represents a proportional
relationship. Is he correct? Explain.

Answers

Answer:

Sample Response:

No, he is not correct. Jay drew a line through the origin, but the line did not connect all three points. Not all the points lie on the line, which is necessary for a proportional relationship.

alternative response:

No. He is not correct, this graph does not represent a proportional relationship. The graph of a proportional relationship must be a straight line connecting all points and passing through the origin.. as well as not even connecting all three points on the graph.

In a directly proportional relationship, increasing one variable will increase another. It is not a proportional relationship graph.

What is a directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A proportional relationship is a relationship in which the value of one variable changes with the change in another variable. This change is always in a fixed ratio. Thus, when the relationship is plotted on the graph it creates a straight line and all the data points lie on this line.

Since in the graph made by Jay the line is not able to connect all the data points, it is not a proportional relationship graph.

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A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters? 245.04 cm2 203.19 cm2 376.99 cm2 188.50 cm2

Answers

Answer:

245.04 cm²

Step-by-step explanation:

Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh

Now, we can plug in the values:

2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)

18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04

The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.

We have to determine total surface area of the can in square centimeters.

What is the formula to calculate the total surface area of a cylinder with radius 'r' and height 'h'.

The total surface area of a cylinder with radius 'r' and height 'h' is given by -

A = 2πr(h + r)

According to the question, we have -

diameter of can = 6 cm

Then, the radius will be (r) = 6/2 = 3 cm

Height of can (h) = 10 cm

Substituting the values, we get -

A = 2 x 3.14 x 3 (10 + 3)

A = 2 x 3.14 x 3 x 13

A = 6 x 13 x 3.14

A = 78 x 3.14

A = 244.92 square centimeters.

Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

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Can someone help me please?

Answers

Answer:

336km^2

Step-by-step explanation:

There are 2 triangles and 3 squares in this 3D shape.

To find the surface area of this shape, you need to find the area add all the 5 shapes (height ✖️length) and add them.

area of the triangle: 8✖️9/2=36 +36<-- 2nd triangle=72km^2

area of a square: 11✖️8=88✖️3=264km^2

264+72=336km^2

Helppp!!!! please!!!

Answers

Answer:

b: 30 ft^2

Step-by-step explanation:

2yd = 6ft

6ft*5ft = 30ft^2

HELP plz!!! first person to answer will get brainiest!!! Angela’s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests? a.fifth test = 90; sixth test = 86 b.fifth test = 89; sixth test = 85 c.fifth test = 85; sixth test = 89 d.fifth test = 85; sixth test = 81

Answers

Answer:

A. fifth test = 90; sixth test = 86

find the time taken for rupees 12502 on an interest of rupees 1020 at the rate of 4% compounded annually​

Answers

Answer:

t = 63.897 years

Step-by-step explanation:

Simple interest rate formula: A = P(1 + r)^t

Simply plug in what we know and solve:

12502 = 1020(1 + 0.04)^t

6251/510 = 1.04^t

log base 1.04 of (6251.510) = 63.897

6th grade RATIOS

I don’t know how this is supposed to work do I start as
3:9 or 3:4 or 4:9 or 4:3 or 9:4? How do I start?

Answers

Answer:

i would say b

Step-by-step explanation: if they all slept 4 hours a night then all 9 would have a total of 36 and a night would be 1 so 36 to 1

Janet has six candy bars she will split it into 2/3 size pieces. How many 2/3 size pieces will she get?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

9 pieces

▹ Step-by-Step Explanation

6 ÷ 2/3 → 6 x 3/2

18/2 = 9

9 pieces

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: 9 2/3 size pieces

Step-by-step explanation:

Simply divide 6 by 2/3 to get 9.

In a causal-comparative study, what is the difference between independent variables and dependent variables? independent variables cause the effect measured in the dependent variables dependent variables cause the effect measured in the independent variables dependent variables are those that affect each other; independent variables do not independent variables exist before the study; dependent variables do not

Answers

Answer: independent variables cause the effect measured in the dependent variables

Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.

WILL GIVE BRAINLIEST Jorge solves the equation 4x - (x + 20) + 6 = 2(3x + 8) using the steps below. Step 1: 4x - x + 2 + 6 = 6x + 16 Step 2: 3x + 8 = 6x + 16 Step 3: 8 - 16 = 6x - 3x Step 4: -8 = 3x Step 5: -8/3 = x Jorge verifies his solution by substituting -8/3 into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error? A. Jorge distributed incorrectly. B. Jorge incorrectly combined like terms. C. Jorge incorrectly applied the addition and subtraction properties of equality. D. Jorge incorrectly applied the multiplication and division properties of equality.

Answers

Answer:

A. Jorge distributed incorrectly.

Step-by-step explanation:

4x - (x + 20) + 6 = 2(3x + 8)

4x - x - 20 + 6 = 6x + 16

3x - 14 = 6x + 16

3x - 6x = 16 + 14

-3x = 30

x = -10

For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.

What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.

Hope this helps!

Answer:

A is correct and thank you to the other person who answered i didn’t fail

Step-by-step explanation:

just took the quiz on edge

A pack of 6 red pens costs £2.76. What is the price per pen?

Answers

Answer:

0.46 each

Step-by-step explanation:

Answer:

£0.46 per pen

Step-by-step explanation:

We need to find the unit rate, or price per pen.

Therefore, we can divide the price by the number of pens.

price / number of pens

It costs £2.76 for 6 pens.

price= £2.76

number of pens = 6 pens

£2.76 / 6 pens

Divide 2.76 by 6

£0.46 / pen

The price per pen is  £ 0.46

The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is the cost of each type of bird?

Answers

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

Consider the following polynomial.
X^3 -6x^2 + 49x -294
Write the equivalent factored form of the polynomial. Fill in the expression with the values of a, b and where a is an integer and band
care complex numbers.

Answers

Answer:

The equivalent factored form of this equation is (x² + 49)(x - 6)

Step-by-step explanation:

x³ - 6x² + 49x - 294

First, group the first and second terms together and group the last two terms together.

(x³ - 6x²) + (49x - 294)

Find the greatest common factor of both parentheses and factor them.  

x²(x - 6) + 49(x - 6)

Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.

So, the factored form of the equation is (x² + 49)(x - 6)

Answer:(x-6)(x+7i)(x-7i)

Step-by-step explanation:

(x-6)(x^2+49)=(x-6)(x^2-(-49)

(x-6)(x^2-(7i)^2)

(x-6)(x+7i)(x-7i)

Can someone help me with this question please.

Answers

The answer : 3780 bolts


Explain

We first calculate the time taken to make nuts and then first number of bolts made in remaining times


Nuts to be made: 750

Nuts made per hour : 500

Time take making nuts = total nuts/ nuts per hour

750/500= 1.5 hours


Time taken making nuts : 1.5 hours
Total time : 8 pm -2 pm :6 pm

Time remaining : 6-15 = 4.5 hours


Time remaining: 4.5 hours
Bolts per hour = 840 bolts

Total bolts made

Time remaining x bolts per hour

840x4.5

= 3780 bolts


Have this help answer your question

Have a great day :D

If you were to take a typical payday loan for $150, with an interest rate of 24.5% due in full after two weeks, what is the total amount you would have to repay?

Answers

Answer:

$186.75

Step-by-step explanation:

In order to solve this, we first need to convert the percentage into a decimal which can be done by dividing it by 100 like so

24.5 % 100 = 0.245

Now that we have the decimal form of the percentage we add a 1 to it and multiply that by $150 in order to get the total amount that is owed after two weeks .... without the 1 added it would only give us the amount of interest that needs to be paid.

$150 * 1.245 = $186.75

Therefore after two weeks you would need to pay a total of $186.75

I need help answering this so please help

Answers

Answer:

(2, f(2))

Step-by-step explanation:

f(x) = -3x^2

For point B, the y-coordinate is f(2).

Point B is (2, f(2))

F(x) = -3x^2 is same as
y= -3x^2

To evaluate f(x) = -3x^2 substitue x = 2 which gives you the y coordinate which would be f(2)

Therefore the ordered pair which gives location of point B is

(2, f(2))

which of the following is 2-dimesional and infinitely large

Answers

Answer:

Hey there!

Are there any options? If not, my answer would be a plane. A plane is 2 dimensional and infinitely large.

Hope this helps :)

There is no options for this.

The hypotenuse and a leg of a particular right triangle are $\sqrt{97}$ inches and 4 inches, respectively. The area of this triangle is what common fraction of a square foot?

Answers

Answer: 1/8

Step-by-step explanation:

Hypotenuse = √97

One leg = 4

By Pythagoras theorem, second leg² = (√97)² - 4²

= 97 - 16 = 81

So second leg = 9

Area of triangle = 4 x 9 / 2 = 18 sq inch

One sq foot = 144 sq inch

So required fraction = 18/144 = 1/8

Answer:

1/8

Step-by-step explanation:

plz help me plz I'm very desperate

Answers

Answer:

3/50

Step-by-step explanation:

for one its 3/10

for the other one is 3/10 too bc u replaced it

so u multiply 3/10 by 3/10 which is 6/100 which is simplify to 3/50

hope this helps

Which expression is equivalent to 2√98 x √2?
1) 14√2
2) 784
3) 4√98
4) 28

Answers

Answer: 28

Step-by-step explanation:  √98 x √2 = √196

√196 = 14

2×14= 28

Answer:

4) 28. I don't know how to explain it...

It takes an hour to mow a lawn using a mower with blades 14 inches wide. How long would it take using a mower with blades 12 inches wide?​

Answers

Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.

Step-by-step explanation:

If the time taken by 14 inches wide is one hour then the blade of 12 inches wide will take 1 hour 17 minutes to mow a lawn.

What is width?

The width of something is the measurement of one side of a body. It is generally less than length of that body or shape.

How to calculate time?

We have been given time of 1 hour if blade is 14 inches wide and we have to calculate time taken by 12 inches wide blade:

It will be as 14/12* 1 hour

=14/12

=1.167

=1.17 hour

Hence the time taken by the blade of 12 inches wide will be 1 hour and 17 minutes.

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Of the 500 U.S. states, 4 have names that start with the letter W, What percentage of U.S. states have names that start with the lette W

Answers

Answer:

8%

Step-by-step explanation:

4/50 = 0.08, which is 8%

If 500 is not a typo, then 4/500 = 0.008, which would be 0.8%

Answer: 8%

Step-by-step explanation: 4/50 = 0.08 Convert the decimal to a percentage. 0.08 = 8%

Please answer this now in two minutes

Answers

Answer:

Step-by-step explanation:

The graph tells you it is -590, but you should check it out.

midpoint = (b + c)/2

b = - 600

c = - 580

midpoint = (- 600 + -580)/2

midpoint = - (1180)/2

midpoint = - 590

which of the following expressions is equivalent to 3a-2ax4a+6a? (a) 4a^2+6a (b)3a-20a^2 (c) 9a-8a^2 (d) a^2

Answers

Answer:

[tex] \boxed{\sf (c) \ 9a - 8 {a}^{2}} [/tex]

Step-by-step explanation:

[tex] \sf Simplify \: the \: following: \\ \sf \implies 3a - 2a \times 4a + 6a \\ \\ \sf - 2a \times 4a = - 2 {a}^{2} \times 4 : \\ \sf \implies \boxed{ \sf - 2 {a}^{2} \times 4} + 3a + 6a \\ \\ \sf - 2 \times 4 = - 8 : \\ \sf \implies \boxed{ \sf- 8} {a}^{2} + 3a + 6a \\ \\ \sf 3a + 6a = 9a : \\ \sf \implies 9a - 8 {a}^{2} [/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 + 3 is an expression.

4x = 6 is an expression.

We have,

3a - (2a x 4a) + 6a

3a - 8a² + 6a

Combine like terms.

9a - 8a²

We can also write,

-8a² + 9a

There is no common factor or like terms to simplify further.

So,

9a - 8a²

Thus,

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

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∠ADB and ∠BDC represent a linear pair because points A, D, and C lie on a straight line. Calculate the sum of m∠ADB and m∠BDC. Then move point B around and see how the angles change. What happens to the sum of m∠ADB and m∠BDC as you move point B around?

Answers

Answer:

Hello There. ☆°~-----__▪●▪__-----~°☆

If points A, D and C lie on a straight line, then angles ∠ADB and ∠BDC are supplementary angles and

m\angle ADB+m\angle BDC=180^{\circ}.

1. If you move point B right from the initial position, then m∠ADB increases and m∠BDC decreases, but m\angle ADB+m\angle BDC=180^{\circ}.

2. If you move point B left from the initial position, then m∠ADB decreases and m∠BDC increases, but m\angle ADB+m\angle &#10;BDC=180^{\circ}.

3. When point B lie on the line ADC, then:

a. Point B lies on the right hand from point D: m\angle ADB=180^{\circ} \\m\angle BDC=0^{\circ} ;

b. Point B lies on the left hand from point D: m\angle ADB=0^{\circ} \\m\angle BDC=180^{\circ} .

4. When point B is reflected about the line ADC situation is the same as in parts 1 and 2.

Hope It Helps!~ ♡

ItsNobody~ ☆

Answer:

The sum of m∠ADB and m∠BDC remains the same: m∠ADB + m∠BDC = 180°.

Step-by-step explanation:

PLATO answer.

3. The pie chart illustrates the values of various goods sold by a certain shop.
If the total value of the sales was $24000, find the sales value of:
a) toys
b) grass
seed
Food
4
c) records
d) food.
45 790
Toys/60° Records
Grass
seed




It’s q 3 please

Answers

Answer:

Records: $6000

Grass Seed: $4000

Toys: $3000

Food: $11000

Step-by-step explanation:

We have to use the number of degrees in each category in comparison to the total number of degrees in a circle, 360 degrees. Records is 90 degrees, so 90:360 = 1:4 = 1/4. So 1/4 of the total pie is $6000. For food, we add the other sub-category's costs, and subtract that from $24000.

Answer:

Toys = 3000Grass seed = 4000Records = 6000Foods = 11000

Step-by-step explanation:

1. Toys = [tex] \frac{45}{360} \times 24000 = 3000[/tex]

2. Grass seed[tex] = \frac{60}{360 } \times 24000 = 4000[/tex]

3. Records = [tex] \frac{90}{360} \times 24000 = 6000[/tex]

4. Food = 24000 - ( 3000+4000+6000)

= 24000 - 13000

= 11000

Hope this helps...

Best regards!!

Factor this trinomial.
x² + 2x-3
A. (x + 3)(x + 1)
B. (x + 3)(x - 1)
C. (x-3)(x - 1)
D. (x-3)(x + 1)

Answers

Answer:

the answer is (x+3)(x-1).

hope u get it....

Answer:

B

Step-by-step explanation:

x^2 +3x -x -3 = x(x+3) -(x+3)=(x-1)(x+3)

Drag each tile to the table to multiply each row heading by
each column heading.

Answers

Answer:

Hey there!

4t(5t)=20t^2

4t(-4)=-16t

5(5t)=20t

5(-4)=-20

Hope this helps  :)

Step-by-step explanation:

This is just a matter of multiplication. 4t x 5t = [tex]20t^{2}[/tex], so that will be in your first box. 4t x -4 = -16t, so that'll be in your second box. 5 x 5t = 25t, so that will be in your bottom-first box, and 5 x -4 = -20, so that will be in your last one.

Renzo leyo 20% de un libro de cuentos el lunes y 1/4 de las paginas restantes el martes le quedan 180 paginas por leer ¿ cuantas paginas tiene el libro

Answers

Answer:

El libro que Renzo está leyendo tiene 300 páginas.

Step-by-step explanation:

Dado que Renzo ha leído el 20 por ciento del libro de cuentos, en principio le queda leer el 80 por ciento de éste. Ahora bien, de las páginas restantes (es decir, de ese 80 por ciento) ha leído 1/4 parte. Por ende, ha leído un 20 por ciento adicional de dicho libro (80 /4 x 1 = 20). En conclusión, Renzo lleva leído un 40 por ciento del libro, con lo cual le resta leer un 60 por ciento, que está formado por 180 páginas. Para determinar cuántas páginas tiene el libro, entonces, hay que realizar el siguiente cálculo:

180 / 60 = 3 (valor del 1 por ciento del libro)

3 x 100 = 300 (valor del 100 por ciento del libro)

Por lo tanto, el libro que Renzo está leyendo posee 300 páginas.

Other Questions
Which of the following is represented by MN? "Salina is working to create greater brand awareness for her company's new line of personal digital assistants. To create greater brand awareness Salina will make sure that promotion features the brand: Group of answer choices" Consider circle T with radius 24 in. and = StartFraction 5 pi Over 6 EndFraction radians. Circle T is shown. Line segments S T and V T are radii with lengths of 24 inches. Angle S T V is theta. What is the length of minor arc SV? how are the presidents cabinet and the executive office of the president (EOP) similar Empathy and cooperation is very important in a country like nepal.Elaborate the statement I2 + KOH = KIO3 + KI + H2O Marque la(s) respuesta(s) falsas: La suma de coeficientes mnimos del agua y el agente reductor es 6 El KI es la forma reducida El KOH es el agente reductor La suma de electrones transferidos ms el coeficiente mnimo del agua suman 16 La relacin entre el agente oxidante y el agente reductor es 1 Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 11,800 flashing lights per year and has the capability of producing 95 per day. Setting up the light production costs $48. The cost of each light is $0.95. The holding cost is $0.10 per light per year.A) What is the optimal sizeof the production run?B) What is the average holding cost per year?C) What is the average setup cot per year?D) What is the total cost per year, including the cost of the lights? *PLEASE ANSWER PLS N TY * Which statement(s) are true about inscribed angles? Statement 1: The vertex of an inscribed angle lies on the circle. Statement 2: The sides of an inscribed angle are tangent lines to the circle. Statement 3: The sides of an inscribed angle are chords of a circle. Statement 4: The vertex of an inscribed angle lies outside a circle. a.) 4 only b.) 1 only c.) 1 & 3 only d.) 2 & 4 only intro to geometric sequences (help pls) How many pence in 10.90 Q2. 90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent? Suppose a team of researchers becomes the first to synthesize organic molecules out of inorganic molecules. The conditions to which they subject their samples of inorganic molecules include periods of intense sunlight and radiation followed by periods of extreme coldtemperatures near that of outer space. After many such cycles of intense energy bombardment and cold, the researchers observe the development of organic molecules. If the findings of the researchers prove to be accurate, which features of their findings might challenge the primordial soup theory? Which aspects of the primordial soup theory would need to be adjusted in light of this new evidence? Why The theme is a story's Jared and Malia will usually both run 3 miles each time they go running. This month, Jared ran an additional 21 miles. Which answer choice shows an expression that represents the total distance Jared and Malia ran this month if j = the number of times that Jared ran and m = the number of times that Malia ran? a-3j + 3m + 24 b-24j + 24m c-(3j) + (3m + 21) d-6(j + m) + 21 Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D How many moles of RNA are found in 250mL of a 0.0125 M solution? Group of answer choices 3.1 moles 0.031 moles 0.0031 moles 1.0 moles 0.035 moles of a compound are found in an erlen meyer flask. Determine its mass molecular weight of the compound if the mass is 3.5 g. Based on the figurative language, what do the speaker in Shakespeares sonnet and the caged bird in the poem have in common?They both feel unwanted by society.They both are uneasy with people staring at them.They both are angry at their circumstances.They both blame bad fortune for their positions. Factor completely 2x3y + 18xy - 10x2y - 90y. I need this done today in a few minutes. PLEASE HURRY Quadrilateral ABCD is inscribed in OZ such that AB | DC and Find m