I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ

I Need Help With This Problem, If Anyone Could Help ASAP, That Would Be Much Appreciated. In The Figure

Answers

Answer 1

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

mROP = 125°∠ROP is a central angle

Then:

measure of arc RP, mRP = mROP = 125°

Given that

∠QOS and ∠ROP are vertical angles

Then:

mQOS = mROP = 125°measure of arc QS, mQS = mROP = 125°

Given that

∠QOR and ∠SOP are vertical angles

Then:

mQOR = mSOP

Given that

The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

measure of arc QR, mQR = mQOR = 55°measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°


Related Questions

WILL AWARD BRAINLIEST AND GIVE 30 POINTS! ANY HELP IS APPRECIATED! I PREFER A STEP BY STEP EXPLANATION!

Answers

Answer:

[tex]\frac{12}{253}[/tex]

Step-by-step explanation:

So I would start by multiplying all the numbers on

the denominator first ----->

11 x 14 = 154

~~~

14 x 17 = 238

~~~                                    *BASICALLY: FIND THE COMMON DENOMINATOR*

17 x 20 = 340                        (this will be how u add everything at the end)

~~~

20 x 23 = 460

Now your goal is to get all of these numbers to be the same as the denominator so you can add them together at the end (get a common denominator)

**(remember when multipling the top and the bottom numbers, whatever you do to the bottom you must do to the top)**

   3                   3                    3                   3

--------- (x ?)  +  --------- (x ?)  +  --------- (x ?)  +  ---------  =

 154               238               340               460

***sorry i dont hav time to finnish but i hope this helped at least a little****

find the limit of the function algebraically. lim x → 0 -7 + x/x^2​

Answers

Answer:

[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex]

Step-by-step explanation:

The given limit problem is

[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}[/tex]

Left hand limit of the function is

[tex]LHL=\lim_{x\to 0^-}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0-h)}{(0-h)^2}[/tex]

[tex]LHL=\lim_{h\to 0}\dfrac{-7-h}{h^2}[/tex]

Applying limit, we get

[tex]LHL=-\infty[/tex]

Right hand limit of the function is

[tex]RHL=\lim_{x\to 0^+}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0+h)}{(0+h)^2}[/tex]

[tex]RHL=\lim_{h\to 0}\dfrac{-7+h}{h^2}[/tex]

Applying limit, we get

[tex]RHL=-\infty[/tex]

Since, LHL=RHL, therefore limit of the function exist at x=0.

Hence, [tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex].

Using the digits 1 to 9, at most one time each, fill in the boxes so that the points
make a parallelogram. Mathematically, use parallel line or congruent sides to
explain your answer. if there are calculations, include those in your explanation.

Answers

Answer:

(4, 7)     (8, 9)    

(2, 3)     (6, 5)

Step-by-step explanation:

The definition of a parallelogram is a quadrilateral that has two pairs of opposite equal length parallel sides, including equal opposite angle measurements

To simplify the task, we plot the  points on a graph paper for the parallelogram ABCD to get the following points;

B (4, 7)     A (8, 9)    

C (2, 3)     D (6, 5)

The length of the opposite sides AB and CD are;

Length AB = √((9 - 7)² + (8 - 4)²) = √20 = 2·√5

Length CD = √((3 - 5)² + (2 - 6)²) = √20 = 2·√5

The length of the opposite sides AC and BD are;

Length AD = √((9 - 5)² + (8 - 6)²) = √20 = 2·√5

Length BC = √((7 - 3)² + (4 - 2)²) = √20 = 2·√5

The slope of segment AB is (9 - 7)/(8 - 4) = 2/4 =1/2

The slope of segment CD is (5 - 3)/(6 - 2) = 2/4 =1/2

Therefore, since the slopes of segments AB and CD are equal, segments AB and CD are parallel

Similarly, we have;

For segment AD, slope = (9 - 5)/8 - 6) = 4/2 = 2

For segment BC, slope = (7 - 3)/4 - 2) = 4/2 = 2

Therefore, the slopes of segments AD and BC are equal, segments AC and BD are parallel.

express 3m24cm in kilometers,leaving your answer in standard form​

Answers

Answer:

0.00324 kilometres

Step-by-step explanation:

Remember:

100 centimeters = 1 meter

1000 meters = 1 kilometer

So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!

Answer:

0.00324 km is the answer

What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5

Answers

Answer:

-6634

Step-by-step explanation:

all we have to do is plug in -3 everywhere m is and 5 where n is:

(5(-3))² - (2(5)-3(-3))³

(-15)² - (10+9)³

225 - 6859

-6634

F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over the interval [2,6] open bracket, 12, comma, 6, close bracket?

Answers

Answer:

[tex]A(x) = 243[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^3 - 9x[/tex]

[tex]Interval: (12,6)[/tex]

Required

Determine the average rate of change

Average rate is calculated as thus;

[tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]

In this case; b = 12 and a = 6

Calculating f(12)

[tex]f(12) = 12^3 - 9 * 12[/tex]

[tex]f(12) = 1728 - 108[/tex]

[tex]f(12) = 1620[/tex]

Calculating f(6)

[tex]f(6) = 6^3 - 9 * 6[/tex]

[tex]f(6) = 216 - 54[/tex]

[tex]f(6) = 162[/tex]

Substitute 12 for b and 6 for a in [tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]A(x) = \frac{f(12) - f(6)}{12 - 6}[/tex]

Substitute values for f(6) and f(12)

[tex]A(x) = \frac{1620 - 162}{12 - 6}[/tex]

[tex]A(x) = \frac{1458}{ 6}[/tex]

[tex]A(x) = 243[/tex]

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024

Answers

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where, [tex]a_1[/tex] is first term, d is common difference.

Substitute [tex]a_1=24, d=6 \text{ and }n=500[/tex] in the above formula.

[tex]a_{500}=24+(500-1)(6)[/tex]

[tex]a_{500}=24+(499)(6)[/tex]

[tex]a_{500}=24+2994[/tex]

[tex]a_{500}=3018[/tex]

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

Answer:

A is correct

Step-by-step explanation:

Billy has three times as many llamas as lambs.
Milly has twice as many lambs as llamas.
They have 17 animals in total.
How many of the animals are llamas?​

Answers

Answer:

There are 9 llamas.

Step-by-step explanation:

For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.

As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.

If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.

If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.

We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.

9 ÷ 3 = 3.

This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6,  because she has twice the amount of lambs.

Billy has 2 lambs and 6 llamas.

Milly has 6 lambs and 3 llamas.

The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.

Answer:

Billy: Has 4 lots of animals

Milly: Has 3 lots of animals

17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total

Subtract.
5x2 - 5+1
(2x2 +9x-6)
-_________
A. 3x2 - 4x+7

B. 3x2 - 14x+7

c. 3x2 + 4x - 5

D. 3x2 + 14x-5

Answers

Answer:

The answer is: [tex]3x^2-14x+7[/tex]

which agrees with answer B) among your list of possible options.

Step-by-step explanation:

I think you forgot an "x" in the first trinomial, so, let's try that:

[tex](5x^2-5x+1)-(2x^2+9x-6)=\\= 5x^2-5x+1-2x^2-9x+6=\\=3x^2-14x+7[/tex]

All of the pairs of corresponding angles and sides in ΔCAT and ΔDOG are congruent. Based on this information, which of the following is a true statement? Question 20 options: A) There isn’t enough information to make a statement about ΔDOG and ΔCAT. B) ΔDOG has been dilated to form ΔCAT. C) ΔCAT is congruent to ΔDOG. D) ΔDOG has half the area of ΔCAT.

Answers

Answer: C) ΔCAT is congruent to ΔDOG

Step-by-step explanation:

If all the sides of two triangles are congruent, then the triangles are congruent.

Answer:

c. ΔCAT is congruent to ΔDOG

Step-by-step explanation:

Due to each the AAA (angle-angle-angle) and SSS (side-side-side) theorems, if all of the facets and/or angles of triangles are congruent, then the triangles are congruent.

please mark me brainliest!

What is the height of the cone below?

Answers

27inches
First, find the area of the base. (Area = pi r-squared)
5=3.14 r-squared
5/3.14=r-squared
1.59=r-squared
R=1.26
Then use the radius to find the height. (V=pi r-squared h/3)
45=3.14x1.26x1.26x h/3
9=h/3
9x3=h
H=27

Which system of equations has no solutions?

1. x-3y+3z=-4
2x+3y-z=15
4x-3y-z=19

2. 3x-3y+4z=6
-3x+3y-4z=-6
6x-6y+8z=12

3. -2a-4b+6c=5
-a+3b-2c=-1
a+2b-3c=1

4. x+y=9
y+z=7
x-x=2

Answers

Answer:

SUBSCRIBE TO Yxng Playz

ON you tube

Two pirates were playing with golden coins. At the start of the game, the first pirate lost half of his coins to the second pirate, then the second pirate lost half of his coins to the first one, then again the first lost half of his coins to the second pirate. At the end of the game, the first pirate had 15 coins, and the second had 33 coins. How many coins did the first pirate have initially?

Answers

Answer:

24 coins

Step-by-step explanation:

Start:

first pirate --> 1/2 coins

second pirate --> 3/2 coins

Next:

first pirate --> 1/2 + 3/4 = 5/4 coins

second pirate --> 3/2 - 3/4 = 3/4 coins

Next:

first pirate --> 5/4 - 5/8 = 5/8 coins

second pirate --> 3/4 + 5/8 = 11/8 coins

So:

If 5/8 coins is 15, then 1/8 coins is 3, and 8/8 coins is 24 coins.

Answer:

24 coins

Step-by-step explanation:

im to lazy to explain

10 tolas gold bought from American market at $ 553 per tola is sold in Nepal at 20% customs duty charge and 13% VAT. At what price should it be sold ?​

Answers

Answer: $735.49

Step-by-step explanation:

Given, the price of 10 tolas gold bought from American market = $553

Custom duty charge = 20%

VAT = 13%

Custom duty charge = 20% of $553

= 0.20 x 553  [we divide a perecntage to convet it into decimal]

= $110.6

VAT = 13% of $553

= 0.13 x 553

= $71.89

Selling price = Original price +Custom duty charge  + VAT

=  $553+$110.6+ $71.89

= $735.49

Hence, it should be sold at $735.49 .

Find the y-intercept for the parabola defined by
this equation:
y=7x2 + 5x – 2
Separate the values with a comma.

Answers

Answer:

(0, -2)

Step-by-step explanation:

The y-int is where the graph crosses the y-axis when x = 0. The easiest and fastest way to do this problem is to graph the equation using a graphing calc and tracing the graph to find your value.

Answer:

Step-by-step explanation:

for y intercept x=0

thus y= -2

the point is (0,-2)

1 Point
Which of the following best describes a random event?
A. The number of doctor visits a person makes in a year
B. The winner of an election
C. The age at which a baby will get her first tooth
D. The age at which a person is legally allowed to drive in the state of
California
SEBNI

Answers

Answer: B

Step-by-step explanation:

Makes the most sense out of all the options because it’s the most random or unpredictable

It’s B, the winner of an election because you cannot predict it compared to the others

ΔHFG is dilated by a scale factor of 2 with the center of dilation at point F. Then, it is reflected over line a to create ΔEFI. Based on these transformations, which statement is true? Line segments EG and HI intersect at point F, forming triangles EFI and HFG. Line a intersects with both triangles at point F. segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI segment FG = segment FI, segment FH = segment FE, and segment HG = segment EI; ΔHFG ~ ΔEFI segment FG = one half segment FE, segment FH = one half segment FI, and segment HG = one halfsegment EI; ΔHFG ~ ΔIFE segment FG = segment FE, segment FH = segment FI and segment HG = segment EI; ΔHFG ~ ΔIFE

Answers

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

FG = 1/2*FIFH = 1/2*FEHG = 1/2*EI

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

FG = 1/2*FI

FH = 1/2*FE

HG = 1/2*EI

This answer is right! took the test on FLVS and confirmed it :)

HELP PLEASE !!!2. Solve for x in the figure below. Show your work.

Answers

3x + 11 + 22 = 90
3x = 57
X = 19

Answer:

×=19

Step-by-step explanation:

90-22=68

3x+11=68

68-11=57

3x=57

57÷3=19

x=19

Convert the fraction 5/8 to a decimal

Answers

Answer:

0.625

Step-by-step explanation:

divide 5 by 8 to get 0.625

Answer:

0.625

Step-by-step explanation:

Divide the numerator by the denominator

so 5÷8 which equals 0.625.

Help plz with this question. Needed fast. I will mark brainliest.

Answers

Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

Answer:

Step-by-step explanation:

 To find the size of YXZ we should use some trigonometry but first let's find the length of YZ

The Pythagorian theorem :

(XZ)²+(ZY)²=(YX)²

YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]

    =4[tex]\sqrt{29}[/tex]

We khow that sin(YXZ)=(YZ)/(YX)                                         = 20/(4[tex]\sqrt{29}[/tex])                                         = 5/[tex]\sqrt{29}[/tex]using a calculator we get (YXZ)=  68°

Mia borrows $320 to buy books for her college classes. The simple interest is 5% for
one year. Mia wants to know the total amount she will pay back.

Answers

Answer:

$336

Step-by-step explanation:

Find 5% of 320

320(0.05) = 16

320 + 16 = 336

The total will be $336


Find the area ratio of a cube with volume 125m3 to a cube with volume 64m3.

Answers

Answer:

25:16

Step-by-step explanation:

i think its right

Based on the graph below, what is a reasonable estimate for the у value when x is 4?

Answers

Y=6
Simply double the y value
Since the line is keeping a constant slope.

kamal has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables during the American football game. He also does not want to have any sodas left over. what is the greatest number of refreshment tables that Kamal can stock

Answers

Answer: 3

Step-by-step explanation:

This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.

Draw a factor tree for each number and see what they have in common.

           Reg         Diet

               6              15

               ∧               ∧

            2   3           3  5

The GCF of 6 and 15 =  3

Each table will contain 2 cans of regular soda and 5 cans of diet soda.

Please help with this

Answers

Answer:

I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)

*PLEASE ANSWER TY* What is the area of minor sector DFE?

Answers

Answer:

x ≈ 34.88 square cm

Step-by-step explanation:

Solve by proportional formula:

Area of a sector/area of circle* = sector central arc measure/360

*area of a circle = πr²

x/(53.29π) = 75/360

x/53.29π = 0.2083

x = 11.1020833π

x = 34.8782233

x ≈ 34.88 square cm

Answer:

Other guy is right also i had it on my test x ≈ 34.88 square cm

Step-by-step explanation:

and what is the distance jeremy ran up the stairs is _______ feet. (round to the nearest tenth of a foot)

Answers

Answer:

4² + 5² = x²

Step-by-step explanation:

From the picture, the height of the staircase is:

h = 20 ft -15 ft = 5 ft

And the distance between the staircase and the building is 4 ft.

A right triangle is formed, where the distance between the staircase and the building (4) and the height of the staircase (5) are the legs, and the length of the staircase (x) is the hypotenuse. Using Pythagorean theorem:

4² + 5² = x²

Peter wants to flip a fair coin 8 times. He wants to know the probability of getting 3 heads. What is the value of P?

Answers

Answer:

7/32

Step-by-step explanation:

Combinators. Your best friend in this scenario.

Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.

Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.

Simplifying the fraction gets you 7/32.

Answer:

7/32

Step-by-step explanation:

the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.

please help me and hurry

Answers

Answer:

median: 90

mode: 91

mean: 84.2 or round it to 84

Step-by-step explanation:

Let me know if this helps! have a great day! :)

Answer:

a) Median = 91

b) mode = 91

c)Mean 84.2

Step-by-step explanation:

a) Median is the middle term. So, 6th term

Median = 91

b) Mode is the score which occurs more number of times

91 occurs 3 times

Mode = 91

c) Mean= sum of all data's/Number of data's

            = 85 + 91 + 48 +98 + 99 /5

            = 421/5

  Mean = 84.2

Find the value of the letter in each of the following. Give your answers to 1 d.p.

Answers

Answer:

a) z = 70.5°

b) s = 83.6°

c) x = 0.7cm

Step-by-step explanation:

We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.

a) We are given the following values

Hypotenuse = 21 inches

The triangle is divided into two to give us a right angle triangle

The adjacent side = 14inches/2 = 7 inches

We are to find Angle z

The Trigonometric function we are using is Cosine

cos z = Adjacent / Hypotenuse

cos z = 7/21

cos z = 1/3

z = arc cos(1/3)

z = 70.528779366°

To 1 decimal place

z = 70.5°

b) We are given the following values

Hypotenuse = 12 cm

The triangle is divided into two to give us a right angle triangle

The opposite side = 16cm/2 = 8 cm

We are to find Angle s, but it is split into 2

So we represent the half as x

The Trigonometric function we are using is Sine

sin x = Opposite/ Hypotenuse

sin x = 8/12

sin x = 2/3

x = arc sin(2/3)

x = 41.810314896°

Remember in the question, we are to find s.

s = x° × 2

s = 41.810314896 × 2

s = 83.620629792

To 1 decimal place

s = 83.6°

c) From the above diagram, we are to find the Opposite side represented by x

Our triangle is split into two equal halves

Adjacent side = 2cm

Angle θ = 36°/2 = 18°

We are using Trigonometric function tan to solve for question c

tan θ = Opposite/ Adjacent

tan 18° = Opposite/ 2

Cross Multiply = tan 18° × 2

0.3249196962 × 2

= 0.726542528cm

To one decimal place,

x = 0.7cm

Other Questions
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