In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.

Answers

Answer 1

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

Answer 2

Answer:

8

Step-by-step explanation:

if you are doing deltamath


Related Questions

ok so tomorrow i have exams omg haha im so scareddd!!!!!

Answers

hopefully yu pass !

Answer:

Best of luck! I hope your exam goes well!!!

15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15

Answers

Answer:

16 17

Step-by-step explanation:

i need an opinion, my other note is in anouther question. what do y'all think.

Dear Chelsea

I'm tierd of you scraching me
I mean I love you can't you see
You may not see it but your rude to Sue
you tell me a secret like the one about you know who
Do you like to hurt Sue and me
Dose it make very you happy
I'm done with all the disrespect
I always helped you last I checked
I'm always there for you
I have fun doing all the things we do
I love you like my own child
Evan though you're a little wild
Your pretty and strong
Your hair is not so long
But what do I care
I mean it's your hair
I geuss what I'm trying to say
Is that no matter what you do ill still love you anyway
You are my little cousin more like a sister
And I hope to be there when you get your mister
I may not always be there
But I want you to know I still care
So as I look up at the sky
I write this not to say goodbye​

Answers

Answer:

good job its very good

Step-by-step explanation:

what are the x and y intercepts of the function??

Answers

Answer:

first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x-intercept is (-4,0)

y-intercept is (0,-3)

could you answer this question cause i need it for math

Answers

Step-by-step explanation:

5p/7-18=-43

5p/7=-43+18

5p/7=-25

5p=-25×7

5p=-175

p=-175/5

p=-35

not sure lol

Answer:

5p/7 = -43+18

5p/7 = -25

5p= -25*7

p = -35

Step-by-step explanation:

Need help please thanks

Answers

Answer:

Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!

Step-by-step explanation:

Hope I helped! :)

Whose puppy weighed the most when the person got it? How much did it weigh? Part c

Answers

Answer:

Olivia's puppy, it weighed 5 pounds.

Step-by-step explanation:

8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form

Answers

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

12 over 20 is 60 percent

Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days

Answers

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.

Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.

Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?

Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?

Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?

Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?

Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?

Answers

Answer:

A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).

B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius

C. 4 degrees celsius

D. 39 degrees fahrenheit

E. Isla Hoste in august

F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Hope this helps OwO

a) The average high and low temperatures are -8°C and -27°C.  b) The average high and low temperatures are 13°C and  7°C. c) The average net change in temperature is -19°C.  d) The average net change in temperature is 6°C.  e) Nuuk in January experiences a larger absolute change.  f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

Part A

The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.

Part B

The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.

Part C

The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.

Part D

The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.

Part E

Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.

Part F

The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

To learn more about average here:

https://brainly.com/question/24057012

#SPJ2

Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86

Answers

Answer:

x - 10y = -59

(+)-4x + 10y = 86

-3x = 27

x = -9

substitute x into x - 10y = -59

-9 -10y = -59

-10y = -50

y = 5

Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive

Answers

Answer: Dried apricots are less expensive they are $8.75

Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive

A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?

Answers

I believe that it is just a square room, either that or he isn’t good at measuring

Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?

Answers

Answer:

2 bags of topsoil.

Step-by-step explanation:

The attached figure shows a flower bed.

One bag of topsoil covers 15 square meters.

We need to find how many bags of topsoil does Tom need to cover his flower bed.

The area of the flower bed is :

[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]  

Let he has to cover x bags of topsoil. So,

x = Area of flower bed/Area of 1 bag of top soil

x = 30/15

x = 2

Hence, he will need 2 bags of topsoil to cover his flower bed.

find the sum:
13,16,19,...301
thanks!

Answers

Answer:

349

Step-by-step explanation:

please give thanks by clicking the heart :)

The answer for the question is this
349

Please help me circles.....

Answers

Answer:

95

Step-by-step explanation:

The equation is

x×2=285-x

3x=285

x=95

Answer:

x = 75°

Step-by-step explanation:

There are many Circle Geometry Rules. We will be using the following:

The angle at the centre of the circle is twice the angle at the circumference.

x = the angle opposite 285 - x.

This means that 360 - (285 - x) = 2x

360 - 285 + x = 2x

75 + x = 2x

We can simplify this by taking away x from both sides.

75 = x

We can check this by substituting x into the orginal equation.

360 - (285 - x) = 2x

360 - (285 - 75) = 2 * 75

360 - 210 = 2 * 75

150 = 2*75

150 = 150

This hurts my brain cells help me

Answers

Looks right though

What question are you asking?

Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20

Answers

Answer:

x=-2, 2.

Step-by-step explanation:

5x^2-20=0

factor out the 5

5(x^2-4)=0

5(x+2)(x-2)=0

(x+2)(x-2)=0/5

(x+2)(x-2)=0

x+2=0, x-2=0

x=0-2=-2,

x=0+2=2.

There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there per teacher?

A. 18 students per teacher
B. 22 students per teacher
C. 24 students per teacher
D. 16 students per teacher

Answers

Students/teachers
132/6 = 22
Solution: B

what is the slope intercept form of a linear function

Answers

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

Somebody Please solve this question without using L Hospital rule.

Evaluate if:​

Answers

Answer:

1/2

Step-by-step explanation:

Given that,

[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]

Using L Hospital's rule to find it :

[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]

We have,

a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]

[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]

[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]

From equation (1) and (2) :

[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]

So, the value of the given function is 1/2.

What is the image of the point (2,3) after the transformation Ry-axis?

Answers

Answer:

The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Step-by-step explanation:

We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.

In other words, the rule is:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.

Considering the point

A(2, 3)

Let us reflect the point A(2, 3) across the y-axis.

We know the rule:

P(x, y) → P'(-x, y)

so

A(2, 3) → A'(-2, 3)

Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.

Answers

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.

Answers

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back

Answers

Answer: 1,120 frogs

Step-by-step explanation:

If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;

= 180 - 12

= 168 frogs

168 frogs out of every 180 do not have spots. Out of 1,200 that would be;

= 168/180 * 1,200

= 1,120 frogs

In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right

Answers

You should have put a picture so we could see the graph

Charles a shirt that was originally priced $13 he received a $2.60 discount what percent discount did Charles receive

Answers

Answer: I Believe 15%, But I'd Double Check.

A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360

Answers

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

Pls help

Identify the domain of the function shown in the graph.

A. -7 B. x<0
C. x is all real numbers.
D. Y=15

Answers

Answer:

B.x<0 cs u useing easy steps

find the exact perimeter of square whose side length is 5∛16 cm

Answers

Answer:

P = 50.39 cm

Step-by-step explanation:

It is given that,

The side of a square, a = 5∛16 cm

We need to find the perimeter of the square.

Perimeter = sum of all sides.

All sides of a square are equal. Its perimeter is given by :

P = 4a

[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]

So, the exact perimeter of the square is 50.39 cm.

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