If arc SQ = 92° and arc QR = 86°, what is the measure percent of ∠RPS

Answers

Answer 1

180-(92+86)

Since it's a triangle the sum of all angles is 180. So 180-86-92=2

Answer 2

The answer is 45°. First combine arc SQ and QR: 178°. Then subtract that from the whole circle (360°) and that will give us 182°. Now subtract arc SQ from it and divide the difference (90°) by two.

Related Questions

Ramon spends 2/5 of his monthly income on rent ,1/5 of his income on utilities and 3/4 of the amount remaining on food and recreation.He saves 193.50 a month,What is Ramon’s monthly income?

Answers

Let x = income
Then:
Rent: [tex] \frac{2}{5} x[/tex]
Utilities:  [tex] \frac{1}{5} x[/tex]
Food and Recreation:  [tex] \frac{3}{4}(x-( \frac{2}{5} x+\frac{1}{5} x))= \frac{3}{10} x[/tex]

Now adding all the expenses: [tex] \frac{2}{5} x+ \frac{1}{5} x+ \frac{3}{10} x= \frac{9}{10} x[/tex]
We see that the expenses are 90% of the income, so the savings must be 10% of the income.
[tex] \frac{1}{10} x=193.5[/tex]
x=1935.0 this is your income
Hope this helps...

Use the quadratic formula to solve 9x2 + 6x – 17 = 0.

Answers

the answer is c after solving the whole problem

Answer:

The person that answered “C” is completely wrong. The answer is D. Mark me brainliest after you get the answer right :)

Step-by-step explanation:

The price of a 250 dollar coat increased 7% last year. The coat is now on sale for one half off. What is the sale price?

Answers

start: 250increase: 250(1 + 0.07), 250(1.07)sale: 0.5(250(1.07)

Bc¯¯¯¯¯ is parallel to de¯¯¯¯¯. what is ab? enter your answer in the box.

Answers

this can help you to understand it

A rectangular deck
is 12 ft by 14 ft. When the length and width are increased by the same amount very becomes 280 squares ft. By how much were the dimensions increased ?

Answers

Both dimensions were increased by 127.

The other response seems more complex so probably ignore mine. I probably misinterpreted the question.

Original length: 14 ft. New length x + 14.
Original width: 12 ft. New width x + 12.

New area:

[tex] A = LW [/tex] or [tex] LW = A [/tex]

[tex] (x + 14)(x + 12) = 280 [/tex]

[tex] x^2 + 14x + 12x + 168 = 280 [/tex]

[tex] x^2 + 26x - 112 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-26 \pm \sqrt{26^2 - 4(1)(-112)}}{2(1)} [/tex]

[tex] x = \dfrac{-26 \pm \sqrt{676 + 448}}{2} [/tex]

[tex] x = \dfrac{-26 \pm \sqrt{1124}}{2} [/tex]

[tex] x = \dfrac{-26 \pm 2\sqrt{281}}{2} [/tex]

[tex] x = -13 \pm \sqrt{281} [/tex]

[tex] x \approx -29.76 [/tex] or [tex] x \approx 3.76 [/tex]

We discard the negative answer.

Answer:

Exact:
[tex] (-13 + \sqrt{281})~ ft [/tex]

Approximate:
[tex] 3.76 ~ft [/tex]

Help? Will mark Brainliest! TYSM!

Answers

1 3 5 is the answer mark me if u want to please

#1, 3, 5 are your answers.

#2, 4, and 6 cancel out because they are not included with the bisect

Hope this helped!

In 1992, only 275 people owned cellphones in Metropolis. Each year, cell phone use has continuously grown by 82%. How many cellphone users were there in 2000?

Answers

For this case we have the following equation of the potential type:
y = A (b) ^ t
Where,
y: number of people with cell phones
A: initial number of people with cell phones
b: growth rate
t: time
Substituting values:
y = 275 * (1.82) ^ t
For the year 2000 we have t = 8.
Substituting:
y = 275 * (1.82) ^ 8
y = 33105.77794
nearest whole integer:
y = 33105
Answer:
there were 33105 cellphone users in 2000

Is 11p-7q polynomial

Answers

Answer: Yes; this is polynomial.

Specifically, it is a "polynomial EXPRESSION" ; but not a "polynomial equation" ; because it is not an "equation.

There are more than one variables/variable expressions, so it is a polynomial.

Find the area of the triangle that has a base of 4.2 mm and a height of 1.5 mm.

Answers

6.3 is your answer
I hope this helps

6.3 is the final answer

How much is in the account after year 6 ??

Answers

i think the answer is c
its actually 1155 but that the closest answer to it
hope it helps

It has 3 more vertices than a triangle

Answers

Well, a triangle has 3 vertices, and 3 + 3 would be 6 vertices. So it is a hexagon.

The answer would be a hexagon.

A vertice is simple a corner of a shape. A triangle has 3 corners, so it has three vertices. A hexagon has 6 corners, so it had 6 vertices!

A principal of $400 is invested in an account at 6% per year compounded annually. What is the total amount of money in the account after 5 years? A. $526.00 B. $531.37 C. $535.29 D. $520.00

Answers

To find the outcome of compounded money, we use the following formula:
[tex]e = b \times (1 + \frac{i}{100} ) {}^{n} [/tex]

In this formula:
e represents the outcome
b represents the money at the beginning
i represents the interest rate
n represents the number of years.

Filling in this formula, we get:
[tex]e = 400 \times (1 + \frac{6}{100}) {}^{5} [/tex]
[tex]e = 400 \times 1.06 {}^{5} [/tex]
[tex]e = 535.29[/tex]
Therefore the answer is C. $535.29

The total amount of money in the account after 5 years is $535.29.

To calculate the total amount of money in the account after 5 years, we can use the compound interest formula: [tex]A = P{(1 + r/n)}^{(nt)[/tex], where A is the total amount, P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the number of years.

Given that the principal is $400, the annual interest rate is 6%, and the compounding is done annually, we have:

A = 400(1 + 0.06/1)^(1*5) = 400(1.06)^5 = 400 * 1.338225 = $535.29

Therefore, the total amount of money in the account after 5 years is $535.29.

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A rectangular note card has a perimeter of 18 inches and an area of 20 square inches. What are the dimensions of the note card?

Answers

5 by 4

4 x 5 = 20

5 + 5 + 4 + 4 = 18

The dimensions are 5 by 4,
hope I helped (:

what should you do first to simplify the expression (43 + 9) ÷ 76 + 5

Answers

Hi there!

You should always find the value inside the parenthesis first when simplifying an equation.
Tell me if you need help solving the equation!

Hope this helps!

always find the value inside the parenthesis first when simplifying an equation.

expression (43 + 9) ÷ 76 + 5

43+9 =52 52 ÷ 76 + 5

Please help! 15 points!

Btw, you cannot answer in the file.....that's just a pic.....

Answers

You can find the value of x using the trigonometric function of cosine.

cos x = adj/hyp
cos 49 = x/55
55(cos 49) = x
36.083 = x

Hope I am right :)

20 POINTS! What is the distance between the points (2, 3) and (5, -4)?

Answers

Use the distance formula.

The distance, d, between points [tex] (x_1, y_1) [/tex]
and [tex] (x_2, y_2) [/tex] is given by the distance formula below.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Now we can apply the formula to your points.

Let Point 1 be (2, 3) and Point 2 be (5, -4).

Then you have

[tex] x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4 [/tex]

[tex] d = \sqrt{(5 - 2)^2 + (-4 - 3)^2} [/tex]

[tex] d = \sqrt{(3)^2 + (-7)^2} [/tex]

[tex] d = \sqrt{9 + 49} [/tex]

[tex] d = \sqrt{58} [/tex]

Answer: the distance is sqrt(58)

Which ordered pair (a, b) is a solution to the given system?

Answers

Since you are given a list of choices, you can go through each choice to plug them into the equations. It turns out that choice B is the answer

(3,1) means that a = 3 and b = 1
Plug in a = 3 and b = 1 into the first equation
2a - 5b = 1
2*3 - 5*1 = 1.... replace 'a' with 3, replace b with 1
6 - 5 = 1
1 = 1
we get a true equation, so we have confirmed the first equation

Do the same for the second equation
3a+5b = 14
3*3+5*1 = 14 .... replace 'a' with 3, replace b with 1
9+5 = 14
14 = 14
we get a true equation, so the second equation has been confirmed

Both equations are true when (a,b) = (3,1). So the answer (3,1) has been confirmed fully

Cora arrived at school at 7:55 am She left for 1 hour for a doctors appointment. She was dismissed from school at 3:15 pm. How long was Cora at school?

Answers

add 7:55 and 1:00 and subtract that from 3:15

A recipe calls for 1/4 cup of flour.Carter only a measurement cup that holds 1/8 cup. How can carter measure the flour he needs for his recipe

Answers

Carter needs an additional ⅛ cup.
⅛ + ⅛ = ¼

Answer:

Carter can measure the flour he needs for his recipe by filling his measurement cup twice.

Step-by-step explanation:

Since Carter has a smaller cup, he would have to fill his cup a number of times until the sum of the number of cups he has fill repeatedly adds up to the recipe requirement.

The number of times Carter would have to measure his cup with flour to get the recipe call may be computed by dividing the recipe call amount with the size of Carter's measurement cup

= 1/4 ÷ 1/8

= 1/4 × 8/1

= 2

What is the measure of AC ? (First Picture)
Enter your answer in the box.
What is the measure of BC ? (Second Picture)
Enter your answer in the box.

Answers

Answer:

Part 1) [tex]arc\ AC=33\°[/tex]

Part 2) [tex]arc\ BC=130\°[/tex]

Step-by-step explanation:

Part 1) What is the measure of AC ?

we know that

The inscribed angle is half that of the arc it comprises.

[tex]m<ABC=\frac{1}{2}(arc\ AC)[/tex]

substitute the values and solve for x

[tex]2.5x+4=\frac{1}{2}(7x-2)[/tex]

[tex]5x+8=(7x-2)[/tex]

[tex]7x-5x=8+2[/tex]

[tex]2x=10[/tex]

[tex]x=5\°[/tex]

Find the measure of arc AC

[tex]arc\ AC=7x-2=7(5)-2=33\°[/tex]

Part 2) What is the measure of BC ?

we know that

The inscribed angle is half that of the arc it comprises.

[tex]m<BDC=\frac{1}{2}(arc\ BC)[/tex]

substitute the values

[tex]65\°=\frac{1}{2}(arc\ BC)[/tex]

[tex]2*65\°=(arc\ BC)[/tex]

[tex]arc\ BC=130\°[/tex]

At the end of the first round in a quiz show, Jeremy has at most negative 20 points. Write an inequality that means “at most negative 20.”

Answers

The inequality would be x < -20 points, where x represents his number of points. The words "at most "mean that he can have up to and including -20 points. If we read this inequality, it tells us that the number of points he has is less or equal to -20 which is the same thing as saying "at the most" -20 points.

If p is a true statement and q is false then p V q is true

Answers

This is correct. p V q is basically an "or" statement. So the question is asking if p or q is true. So, as long as one of them is true, the overall question is true.

Answer:

Step-by-step explanation:

True

7. Given the vertices of ∆ABC are A (2,-5), B (-4,6) and C (3,1), find the vertices following each of the transformations FROM THE ORIGINAL vertices: a. Rx = 3 b. T<3,-6> c. r(90◦, o)

Answers

Q1)
Rx = 3
in this reflection, the image has been reflected along the x = 3 line. then all the points on the image are reflected along this vertical line. the distance between each point and the vertical line is noted and by that same distance its moved to the opposite side of the vertical line, while the y coordinates stay the same.
A(2,-5)- x coordinate is 2, its 1 unit away from x=3, it should move by 1 unit to the other side of x = 3, then x = 4. y stays as it is.
A' - (4,-5)

B(-4,6) - distance from x = 3, is (-4-+3) is seven units, moves by 7 units to the other side
B' (10,6)

C(3,1) = distance from 3 = 0, therefore the point stays at is,
C' (3,1)

Q2)
next is a translation, in translation the size nor shape changes, each point in the original image moves the same distance in the same direction.
T (3,-6) (x,y) = this means that the x coordinates move by +3 points to the right and y coordinates move downwards by 6 units
A (2,-5) ---> (2+3,-5-6)
A' (5,-11)
B (-4,6) ---> (-4+3,6-6)
B' (-1,0)
C (3,1) ---> (3 + 3, 1-6)
C' (6,-5)

Q3)
r(90°,0)
this is a rotation done in the clockwise direction. then the image takes a rotation to the right direction around the origin.
then the x, y coordinates of the preimage become ;
(x,y) = (y,-x)
A(2,-5) --> A' = (-5,-2)
B(-4,6) ---> B' = (6,4)
C(3,1) ---> C' = (1,-3)

Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 96 inches wide, and the length from the top point of the tent to the corners of the base is 102 inches.

Answers

96/2 = 48

102^2 = 10404

48^2 = 2304

10404 - 2304 = 8100

squareroot(8100) = 90

the pole needs to be 90 inches high

You need to have a password with 4 letters followed by 2 even digits between 0 and 9, inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?

Answers

Final answer:

The total number of possible passwords, considering the conditions that no letters or digits can be reused, and only even digits 0-9 can be used, would be 7,893,600.

Explanation:

This is a question of combinations and permutations. Firstly, consider the four letters. There are 26 letters in the English alphabet. Since you have four letters and none of them can be the same, the number of possibilities is 26 * 25 * 24 * 23. Next, consider the two numbers. Since we can only choose even numbers between 0 and 9 (which gives us 5 possible selections), and they cannot be the same, the number of possibilities is 5 * 4. Therefore, to find the total number of possible passwords, you multiply the possibilities for letters and numbers together. So, the number of

possible passwords would be 26 * 25 * 24 * 23 * 5 * 4, which equals to 7,893,600.

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There are many penguins on a hill. 53 penguins waddled off the hill. Now 21 penguins remain on the hill. How many penguins were on the hill to start?

74 penguins

72 penguins

32 penguins

34 penguins

Answers

Answer:

74 Penguins

Step-by-step explanation:

1. 53+21

2. =74

Penguins are my favorite animal. What's yours?

Answer:

There were originally 74 penguins on the hill.

Step 1: Determine the Values we Need

For starters, we need to define the variable that we will use to solve this equation. I will use x.

We know that our original amount is x, and we need to find it to solve the problem.

The Factsx stands for the original amount of penguins on the hill.53 penguins waddle off of the hill.21 penguins remain after the 53 penguins waddle off of the hill.

To find x, we will set up an algebraic equation that allows us to find the value easily.

Step 2: Set up the Algebraic Equation

Now, we will need to set up the equation with the facts we have determined.

We know that we need to set our equation equal to x to find our total. To do this, we know that our initial amount is x, and we remove 53 penguins from this total since they waddle off of the hill.

Since we "remove" from the total, this means that we will subtract 53 penguins from x, our initial amount. We are left with the 21 penguins that do not leave the hill, or otherwise, remain on the hill.

[tex]x - 53 = 21[/tex]

Step 3: Rearrange and Solve the Equation

Finally, we are ready to solve the equation to find our initial amount of penguins.

To solve this equation, we must combine our like terms.

Because our numbers (constants) do not have any letters (variables) attached to them, we will combine them.

The main goal of an algebraic equation is to get the variable (in this case, x) by itself. To do this, we can perform reverse operations to get the constants together.

You'll notice that 21 does not have a sign associated with it, but 53 does, and it is a subtraction symbol.

The reverse operation of subtraction is addition. Therefore, to combine the two values, we can add both 53 and 21 to each other to find x.

[tex]x = 53 + 21[/tex]

Using any method of choice, add the two values together.

[tex]x = 53 + 21 = 74[/tex]

Then, to simplify, remove the operation and only leave the sum of the operation.

[tex]\boxed{x = 74}[/tex]

Therefore, the initial number of penguins—the number of penguins on the hill to start—is equivalent to 74 penguins.

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helpppppppppppppppppppppppppp

Answers

Answer:
perimeter = 6 + 3√2 ft

Explanation:
The triangle given is an isosceles right-angled triangle.
This means that two of its legs are equal = 3 ft
Now, we will get the length of the third leg which is the hypotenuse using the Pythagorean theorem as follows:
(third leg)^2 = (3)^2 + (3)^2
(third leg)^2 = 18
third leg = sqrt(18) = 3√2 ft

Finally, we will get the perimeter as follows:
perimeter = 3 + 3 + 3√2
perimeter = 6 + 3√2 ft

Hope this helps :)

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

Answers

(x – 5)² + 3(x – 5) + 9 = 0

x² - 10x + 25 + 3x - 15 + 9 = 0

x² - 7x - 16 = 0

[tex]x = \frac{7 + \sqrt{(-7)^2-4(1)(-16)} }{2} [/tex] or [tex]x = \frac{7 - \sqrt{(-7)^2-4(1)(-16)} }{2} [/tex]

[tex] x = \frac{7 + 3i \sqrt{3} }{2} [/tex] or [tex] x = \frac{7 - 3i \sqrt{3} }{2} [/tex]

(Answer B)

Answer: [tex]x=\frac{7\pm 3i\sqrt{3}}{2}[/tex]

Explanation:

Since, given quadratic function, [tex](x-5)^2 + 3(x-5) + 9 = 0[/tex] -----(1)

let us consider,[tex]x-5=p[/tex] -----(2)

Put this value in equation (1),

We get, [tex]p^2+3 p+9=0[/tex], which is also a quadratic equation.

Since, quadratic formula for finding the root of quadratic equation of type [tex]ax^2+bx+c=0[/tex] is, [tex]x=\frac{-b\pm\sqrt{b^2-4ac}} {2a}[/tex]

Here, a=1, b=3 and c=9, so, [tex]p=\frac{-3\pm\sqrt{3^2-4\times1 \times9}} {2\times1}[/tex]

Thus, [tex]p=\frac{-3\pm3\sqrt{-3}} {2}[/tex] ⇒ [tex]p=\frac{-3\pm3i\sqrt{3}} {2}[/tex] (because √-1=i)

Now, from equation(2) [tex]x-5=\frac{-3\pm3i\sqrt{3}} {2}[/tex]

⇒[tex]x=\frac{-3\pm3i\sqrt{3}} {2}+5=\frac{7\pm 3i\sqrt{3}}{2}[/tex]

⇒[tex]x=\frac{7\pm 3i\sqrt{3}}{2}[/tex]

Jennifer recorded the temperature of water samples and the time it took 50g of salt to dissolve in the samples. Jennifer's data models a direct variation. Which table contains Jennifer's data?

Answers

the answer is c. it look like this
80°32
83°33.2
84°33.6
90°36

Answer:

The answer is C.

Step-by-step explanation:

I know that its c because i literatly just tried it and it said corect it was on USA. test prep

The sin 215° is ____
●A positive value
●0
●A negative value

Answers

The sin 215° is ____

●A positive value

The sin 215 degrees is a positive value. (Soh Cah Toa - Sin Cos Tan)

Answer: A positive value

believe; live

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