What are RQS and TQS?

What Are RQS And TQS?

Answers

Answer 1

Answer:

m∠RQS = 72°

m∠TQS = 83°

Step-by-step explanation:

m∠RQS +m ∠TQS = m∠RQT

The two angles combine to make a larger angle

So

m∠RQS = (4x - 20)

m∠TQS = (3x + 14)

(4x - 20) + (3x + 14) = 155

Group the Xs and the constants

4x + 3x - 20 + 14 = 155

Combine like terms

7x - 6 = 155

Add 6 to both sides

7x = 161

Divide by 7 on both sides

x = 23

Check:

4(23) - 20 + 3(23) + 14 = 155

92 - 20 + 69 + 14 = 155

155 = 155

But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.

m∠RQS = 4(23) - 20 = 72°

m∠TQS = 3(23) + 14 = 83°

Checking:

72 + 83 = 155


Related Questions

What is the quotient of 8,595 ÷ 24?

Answers

Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

Your answer would be 358.1

سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?

Answers

Answer:

3cm

Step-by-step explanation:

A particular satellite is 15 m wide

Model of it was built with a scale of 1 cm: 5 m

=> scale of the model will be: 1/500cm and  A particular satellite is 1500 cm wide

=>1500*1/500=3(cm)

can someone please help me find the domain and range​

Answers

Answer:

the domains are x axis or intercepts and range is y axis or intercepts

three less than twice a number is fifteen

what is the answer?

Answers

Answer:

2X–3 =15

2X=15+3

2X=18

X=18/2

X= 9

I hope I helped you^_^

Answer:

18

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

can someone help me please?

Answers

An exponent is added to a term when the term is multiplied by itself. The exponent s value is the number of times the term is multiplied by its self.

There are 2 a’s so a x a = a^2

There are 3 b’s so you have b^3

There are 2 c’s so it is c^2

The equation becomes: a^2 x b^3 x c^2

Answer:

[tex]a \times a \times b \times b \times b \times c \times c = {a}^{2} \times {b}^{3} \times {c}^{2} \\ thank \: you[/tex]

please please help me if for my homework​

Answers

Answer:

89/100. Hope this helped.

Step-by-step explanation:

Answer:

89/100

Step-by-step explanation:

.89

Multiply the decimal by 100

89

Convert the decimal to a fraction

89/100

PLEASE show all work!!!

If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?

Answers

The base of the rectangle , b = 28 cm

The area of the rectangle , A = 588 cm^2

Therefore , the height of the rectangle , h = A/b

=588/28 cm = 21 cm .

Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D

Answers

Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

5/12 divided then turned into decimal and rounded near hundredth​

Answers

[tex]\\ \sf\longmapsto \dfrac{5}{12}[/tex]

[tex]\\ \sf\longmapsto 0.4166[/tex]

Round to nearest thousand

[tex]\\ \sf\longmapsto 0.417[/tex]

Round to nearest hundredth

[tex]\\ \sf\longmapsto 0.42[/tex]

Step-by-step explanation:

0.417 round to the nearest hundredth

23 - C<6
I cannot find the answer can someone help me?

Answers

Answer:

C > 17

Step-by-step explanation:

23 - C < 6  

-23        -23

-----------------

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

HELP PLZ
The running back for the Southern High School wears his lucky number
48
on his jersey. During his last three games, he carried the ball 58 yards, 49
yards, and
53 yards. What was his total yardage for those last three games. *I have to use the CUBES method so plz show you using that method*

Answers

Answer:

160 yards total

Step-by-step explanation:

https://i1.wp.com/caffeinequeenteacher.com/wp-content/uploads/2014/12/cubes-math-strategy-for-word-problems-blog-image.jpeg?resize=1032%2C1536&ssl=1      that link show you what cubes method is. You can take my answer and put it into cubes method form.

f(x) = -3x2 + 3x + 7
Find f(8)

Answers

Hope it helps! If it is, Brainliest please!

Answer:

f(8) = -161

Step-by-step explanation:

f(x) = -3x^2 + 3x + 7

f(8) = -3(8)^2 + 3(8) + 7

f(8) = -192 + 24 + 7

f(8) = -161

Find the area of a cell phone screen with an 8 inch diagonal that has an aspect ratio of 2:3.
Round answer to the nearest square inch.

Answers

If the sides were 2 and 3 then using Pythagoras the diagonal would be sr(2^2 + 3^2) = sr(13)

The actual diagonal is 8 inches so the sides need to be scaled by 8/sr(13)

The screen area will be 2 x 8/sr(13) x 3 x 8/sr(13) = 29.539....
Rounded to nearest sq.inch this is 30 sq.inch

Tyron made 60 cakes. He gave 20% of his cakes to Ana . And 1/6 of his cakes to Dora. What fraction of the 60 cakes does he have left?

Answers

Answer:

19/30

Step-by-step explanation:

Total cakes made by Tyron = 60

Cakes given to Ana = 20% of 60

                                 [tex]=\dfrac{20}{100}*60\\\\= 2*6\\\\= 12 \ cakes[/tex]

Number of cakes given to Dora= [tex]\dfrac{1}{6}*60=10[/tex]

Remaining cakes = 60 - ( 12 +10)

                              = 60 - 22

                              = 38 cakes

Fraction of left cakes = [tex]\dfrac{38}{60}=\dfrac{19}{30}[/tex]

Plsss helpppp worth 100 points + other 2 questions

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)

a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.

Answers

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Step-by-step explanation:

does this form a right triangle 8,10,6​

Answers

Answer:

Yes, it does. We can check by using the Pythagorean theorem (P.t.).

P.t.: a^2 + b^2 = c^2

a = 6, b = 8, c = 10

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

Brainliest, please!

Answer:

Step by step answer.

Yes

a^2 + b^2 = c^2

8^2 + 6^2 = 10^2

64 + 36 = 100

100 = 100

The Pythagorean Theorem works. C is always assumed to be the hypotenuse because it is the longest line It's position does not matter. If you did the problem like this

6^2 + 10^2 = 8^2

Of course this would not work, but it would also disobey the convention that c is the longest side.

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.1 feet long, if the remaining piece needs to be 2.30 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.

Answers

Answer:

The board should be 4.7 feet long.

Step-by-step explanation:

To find the remaining piece, you just multiply 1.1 by 2.3 which is 2.53. That's the length of the remaining piece.

Then you add all the pieces together.

1.1+1.1+2.53 =

4.73

Round and add label.

4.7 feet

I just need some help in math. This problem specifically

Answers

Answer:

∠ ABD = 37° , ∠ DBC = 58°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 23 + 9x - 5 = 95 , that is

11x + 18 = 95 ( subtract 18 from both sides )

11x = 77 ( divide both sides by 11 )

x = 7

Then

∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°

∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°

Step-by-step explanation:

Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .

How many names would be said if in a room of 875 people each said everyone name?

Answers

Answer:

765625

Step-by-step explanation:

because 875x875 is 765625

Answer:

765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)

Step-by-step explanation:

Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."

There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.

ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!

Answers

Answer:

Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.

Step-by-step explanation:

I derped. I'm sorry. Here is the answer as an actual answer :)

Answer:

Company C

Step-by-step explanation:

a + b = 0 Which of these is equal to b?

0
1/a
a
-a

Please help!

Answers

Answer:

The answer is -a

Step-by-step explanation:

from equation,

[tex]a+b=0\\=>b=0-a[/tex]

∴[tex]b=-a[/tex]

Therefore, -a is equal to b

hope you have understood this....

pls mark my answer as the brainliest

Solve x4 − 4x2 − 12 = 0.

Answers

Answer:

x^2+2=0 or x^2−6=0

Step-by-step explanation:

x^4-4x^2-12=0

(x^2+2)(x^2−6)

x^2+2=0 or x^2−6=0

Answer:

x=6

Step-by-step explanation:

Hope It Help!

Thanks

What is the value of f(x) when X=-3
f(x) = 2x2 + 4x+10

A. -14
B. -8
C. 16
D. 34

Answers

Answer:

16

Step-by-step explanation:

f(x) = 2x^2 + 4x + 10

f(-3) = 2(-3)^2 + 4(-3) + 10

f(-3) = 2(9) + (-12) + 10

f(-3) = 18 + (-12) + 10

f(-3) = 16

Evaluate (2-3)(4) - 923

Answers

-927 is the answer :)

(7-4) + 17 / -14 + 2 x 5

Answers

Answer:

165/14

Step-by-step explanation:

(7-4) + 17 / -14 + 2 x 5

3 + 17/-14 + 2 x 5

3 - 17/14 + 2 x 5

3 - 17/14 + 10

165/14

Given (x – 1)2 = 50, select the values of x.
x=-49
x=51
x=1+5sqrt{2}
x=1-5sqrt{2}

Answers

Answer:

C and D.

Step-by-step explanation:

We want to solve the equation:

[tex](x-1)^2 = 50[/tex]

We can take the square root of both sides. Since we are taking an even root, we need plus/minus:

[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]

Note that:

[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]

Hence:

[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]

And by adding one to both sides:

[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]

In conclusion, our answers are both C and D.

The answer if any body knows it

Answers

Answer:

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Step-by-step explanation:

1. Approach

One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.

2. Find the area of the quarter circle

The following formula can be used to find the area of a circle,

[tex]A_c=(\pi)(r^2)[/tex]

Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

Substitute the given values into the formula and simplify to evaluate,

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]

[tex]A_c=(\pi)(16)[/tex]

[tex]A_c\approx 50.2655[/tex]

3. Find the volume of the prism

Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,

[tex]A=A_c(l)[/tex]

Substitute and simplify to evaluate,

[tex]A=(\pi)(16)(21)[/tex]

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Find a16 of the sequence 1, 6, 11, 16, ....

A. 81
B. 66
C. 76
D. 71

Answers

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

V=1/3πr²(h-1) find h

Answers

Answer:

[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]

Step-by-step explanation:

Hi there!

[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]

Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:

[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]

[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]

Add 1 to both sides:

[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]

I hope this helps!

Find the perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), and T(-3,-2)

The perimeter is blank units

Plz ASAP!!!

Answers

to find the perimeter of the polygon plot The vertices on a coordinate plane indemnify the segments of the polygon find the distance between the points of the segments. The perimeter of the polygon is 16 units

Answer: The perimeter is 16 units

Step-by-step explanation:

Other Questions
I NEED HELP IM DOING A EXAMSolve the equation and check your solution.1. 3(x+6)=18+3x2. -2(x-1)=2-2x3. x+4=-2+x4. -2(x+2)=5-2x Whats 9 2/3into as improper fraction . Two falling inflated balls of different massesland at the same time. Two angles are supplementary. The measure of the larger angle is 36 more than the measure of the smaller angle. Find their measures. the answers are 72 and 108 but I need help showing my work How does the statue of liberty connect to america? AcellusThe difference between a solidand a gas is thatA solids can change their volume but gasescannotB. solids can take the shape of its container, andgases cannotC. solids have high energy levels and gases havelow energy levelsD. solids have low energy levels and gases havehigh energy levels In science, work is defined as:force multiplied by the distance moved in a direction perpendicular to the force.force multiplied by the distance moved in a direction parallel to the force.the mass of an object multiplied by its acceleration.the mass of an object multiplied by the force required to move it. what is something that you've created when you were a child? state five reasons on the Achievement of Dr komeNkrumah Gabe's eyes widened when he noticed the return address on the envelope. He fought the temptation to rip it open, opting instead tocarefully peel up the envelope flap. The last thing he wanted to do was risk damaging the tickets inside. He unfolded the paper inside andcaught the tickets that fell from within. His stomach felt like it had been turned inside out when Gabe realized he was only holding two ticketsin his hand. He quickly scanned the letter and found his cousin's explanation.Gabe slumped against the porch railing when he discovered these were the last two available tickets to the concert. He had planned totake both Lenny and Tyler, his two best friends, to the concert with him. Now he was faced with the most difficult decision of his year: What doI do with only two tickets? Gabe thought about the numerous times Lenny had invited him to join him on mountain bike trips. Lenny had evenloaned Gabe his extra bike once when Gabe's bike got a flat. Bringing Lenny to the concert would be a way of thanking him for his generousnature. Then again, Gabe realized his parents would not have allowed him to ask his cousin for the tickets if Gabe's biology grade hadn't madea turn for the better. Tyler was definitely responsible for the improvement. He had tutored Gabe after school for weeks; surely, Gabe shouldshow his appreciation in some way.Deciding between Lenny and Tyler tormented Gabe all week. Finally, he decided to give both tickets to his friends. He believed he wouldhave another opportunity to hear his favorite band in concert, but he might never meet anyone else as loyal or helpful as his two best friends.When Gabe opens the envelope, he discovers only two tickets.Which plot element does the discovery introduce?O 1. climax2. conflict3. resolution4. falling action can someone who's really good at math help me with this?for f(x) evaluate each of the following: a. f(0) b. f(6) show all your work 7 - 3x = 2x + 7 5x Step by step write each fraction number as a decimal write each fraction number as a decimal 4/33 The carbon cycle involves a variety of processes that transfer carbon among Earth systems. Many of these processes also transfer which one!element?o A oxygen, which bonds with carbon in carbon dioxideB. nitrogen, which bonds with carbon in amino acidsC. phosphorus, which bonds with carbon in DNAD. chlorine, which bonds with carbon in a variety of compounds Professor Flummox gives her new test of aptitudes for studying psychology to her psychology students at the start of the year. At the end of the year, she finds that those who did well on the test averaged only a "C" in the course. The test lacks _____. 18. A man weighing 1000 N runs up some stairs.rising a vertical height of 5 m in 10 seconds.a) What power does he develop? Write a quadratic equation in standard form that has roots of -12 and 2 Question 21 ptsAmelia wants to take an art course at a local community center. She loves looking atpieces that are not only beautiful but also functional. One of her favorite collections inthe local museum is a group of ancient Egyptian bowls that have interesting carvings onthem. What course would you recommend to Amelia?O visual artsO decorative artsO performing artsO written art What is the mode of 2,2,3,4,4,5,5,5,6,6 Cul es la diferencia entre induccin y deduccin?