Given:SW is diameter of circleR

m\overarc ST = 30\degree

Prove: RTW = 15\degree

Given:SW Is Diameter Of CircleRm\overarc ST = 30\degreeProve: RTW = 15\degree

Answers

Answer 1

Check the picture below.

we know that the arcST is 30°, meaning the inscribed angle intercepting it will be half that or 15°.

in the triangle RWT, two sides of it are RT and RW, both of which are radius segments and thus equal, meaning that triangle RWT is an isosceles, and in an isosceles the twin sides also make twin angles, meaning that ∡RTW is a twin of the inscribed angle ∡RWT.

Given:SW Is Diameter Of CircleRm\overarc ST = 30\degreeProve: RTW = 15\degree

Related Questions

What is 2.58333333333 as a fraction?

Answers

Answer:

2 583/1000

Step-by-step explanation:

Answer

To write 2.58333333333 as a fraction you have to write 2.58333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.58333333333 = 2.58333333333/1 = 25.8333333333/10 = 258.333333333/100 = 2583.33333333/1000 = 25833.3333333/10000 = 258333.333333/100000 = 2583333.33333/1000000 = 25833333.3333/10000000 = 258333333.333/100000000 = 2583333333.33/1000000000 = 25833333333.3/10000000000 = 258333333333/100000000000

And finally we have:

2.58333333333 as a fraction equals 258333333333/100000000000

Helppppppppppppp please and show work thank you

Answers

Perimeter is (L+W)x2 so 9+13 is 22 multiplied by 2 it’s 44. So your perimeter is 44.

Area is L x W so 9 x 13 which is 117.

Which of the following equations has infinitely many real solutions?
A.
5(x − 8) = 5x − 40
B.
5x + 1 = x − 1
C.
5x + 1 = 5x − 1
D.
5(x − 8) = 5x + 40

Answers

Answer:

Answer: B. 5x + 1 = x - 1

Step-by-step explanation:

[tex]{ \tt{5x + 1 = x - 1}} \\ { \tt{5x - x = - 1 - 1}} \\ { \tt{4x = - 2}} \\ { \tt{x = - \frac{1}{2} }}[/tex]

-
3х - 4y = 15
7x+y= 4
Substitution

Answers

Answer:

3x-4y=15

7x+y=4

Solve7x+y=4 for y:

7x+y=4

7x+y+−7x=4+−7x (Add -7x to both sides)

y=−7x+4

Step: Substitute −7x+4 for y in 3x−4y=15:

3x−4y=15

3x−4(−7x+4)=15

31x−16=15 (Simplify both sides of the equation)

31x−16+16=15+16 (Add 16 to both sides)

31x=31

(Divide both sides by 31)

x=1

Step: Substitute 1 for x in y=−7x+4:

y=−7x+4

y=(−7)(1)+4

y=−3(Simplify both sides of the equation)

Answer: x=1 and y=−3

PLEASE HELP WITH THIS PLEASE

Answers

3 + √(-3)
= 3 + √(-1 • 3)
= 3 + √(3) • √(-1)
we know that i is √(-1)
Therefore, this whole thing is:
3 + √3 • i

and so in the form of a + bi,
a = 3,
b = √3

Hope this helps

Answer:

the 4th answer : a = 3 and b = sqrt(3)

Step-by-step explanation:

remember that i = sqrt(-1).

so, when you "take out" -1 of -3, you get 3.

sqrt(-3) = sqrt(3×-1) = sqrt(3)×sqrt(-1) = sqrt(3)i

x +y = y-m

what is m

Answers

Answer:

m = -x

Step-by-step explanation:

x +y = y-m

subtract y on both sides which will cancel them out, we are left with

x = -m

multiply both sides by -1 to get rid of the -m

x × -1 = -x, -m × -1 = m

final answer: m = -x

Let's solve

x+y=y-mx=y-y-mx=0-mx=-mm=-x

Done!

Principal 20,000.00 apr 3% time 5 years

Answers

Answer:

It's the total amount owed on your car loan. Knowing that the annual interest rate on the loan is 3% and that it must be repaid in a year

Step-by-step explanation:

What does y = 1x - 3 and y=-x-21 - 3 have in common?

Answers

Answer:  Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

21

2

,

27

2

)

Equation Form:

x

=

21

2

,

y

=

27

2

Step-by-step explanation:

At a restaurant, six burgers and three orders of the fries cost $19.50. What is the cost, in dollars, of two burgers and one order of fries?

Answers

Answer: $6.50

Step-by-step explanation: You have 6 burgers and 3 fries for 19.50

and need to know what 2 burgers and 1 fries is so you divide 6 by 3

3 by3 and 19.50 by three to get your answer.

hope this helps!

write two equilent ratios 5 and 12​

Answers

if u mean the fraction 5/12, then 2 equivalent ratios are 10/24 & 15/36

Answer:

2 equivalent ratios to 5:12 and how to find them are below.

Step-by-step explanation:

10 : 24- multiply each factor by 2     (5 x 2) + (12 x 2)

15 : 36- multiply each factor by 3     (5 x 3) + (12 x 2)

Hope this helps :3

There are 8 cups of pasta in 22 servings. Write a proportion that gives the number x of cups of pasta in 3 servings.
one proportion is:

Answers

Answer:

Step-by-step explanation:

Cups: servings

8 : 22  :: x : 3

Product of means = product of extremes

22*x = 3*8

   [tex]x = \dfrac{3*8}{22}=\dfrac{3*4}{11}=\dfrac{12}{11}=1\dfrac{1}{11}[/tex]

​A person overcharges his bank account by spending the same amount of money each day. After five days of overcharging his bank account, he is $100.00 dollars in debt. Therefore, each day, his account balance changed by how much?

Answers

Answer:

20

Step-by-step explanation:

Why? because 100$ in 5 days is he spent the same much each day then it's 20 because 20 x 5=100

20 x 1=20

20 x 2=40

20 x 3=60

20 x 4=80

20 x 5=100

Mrs. Green was at the supermarket. She bought a pot roast that cost $15.50 regular price, but was on sale for 30% off. How much did she pay for the pot roast?

Answers

Answer:

$10.85

Step-by-step explanation:

30% off of 15.50 is 10.85

step by step to solve this expression, 4(5x + 6) = 12

Answers

The answer is X=-0.6.

Can someone solve this pls

Answers

Step-by-step explanation:

I hope that this answer help you.

find the equation of the line

Answers

Answer:

Y = 1/4x+2

Step-by-step explanation:

So to find the slope of the line you can use rise/run to do this you can pick two points and count how may squares is going up and how many is going to the left.

For this problem the two points can be (0,2) and (4,1) and if we count how many squares it goes up by we can see its 1 and if we count from (0,2) to (4,1) horizontally the space is 4

To find y-int it is just where the line crosses the y axis

What is the perimeter of a square which has the same area as a circle
with circumference of 471?

Answers

[tex]\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=471 \end{cases}\implies 471=2\pi r\implies \cfrac{471}{2\pi }=r \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \implies A=\pi \left( \cfrac{471}{2\pi } \right)^2\implies A=\pi\cdot \cfrac{471^2}{4\pi^2} \implies A=\cfrac{471^2}{4\pi }[/tex]

[tex]\textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=side\\[-0.5em] \hrulefill\\ A=\frac{471^2}{4\pi } \end{cases}\implies \cfrac{471^2}{4\pi }=s^2\implies \sqrt{\cfrac{471^2}{4\pi }}=s \implies \cfrac{471}{2\sqrt{\pi }}=s \\\\\\ \stackrel{\textit{perimeter of a square}}{4s\implies 4\left( \cfrac{471}{2\sqrt{\pi }} \right)}\implies \cfrac{942}{\sqrt{\pi }}~~ \approx~~531.47[/tex]

Which of these tables represents a linear function?

Answers

Answer:

B

Step-by-step explanation:

A linear function is when it is ADDING or SUBTRACTING by the same amount every time. B is the only answer that follows this rule

Lenore lives in a state where sales tax is 10%. This means you can find the total cost of an item, including tax, by using the expression c + 0.10c, where c is the pre-tax price of the item.

Use the expression to find the total cost of an item that has a pre-tax price of $84.00.

Answers

Function is

f(c)=c+0.10c

Put 84.00$

[tex]\\ \tt\hookrightarrow 84.00+0.1(84.00)[/tex]

[tex]\\ \tt\hookrightarrow 84.00+8.4[/tex]

[tex]\\ \tt\hookrightarrow 92.4[/tex]

Based on this graph, is the relationship between number of rows and number of chairs a proportional relationship?

Answers

Answer:

Yes

Step-by-step explanation:

As the number of rows increases the number of chairs also increases according to the graph

Please help i struggle with algebra

Answers

Answer:

17

Step-by-step explanation:

multiply both sides of the equation by 8

k + 31 = 48

move the constant to the right-hand side and change its sign

k = 48 - 31

subtract the numbers

k = 17

Find the missing sides and angles for the triangle.

Answers

Answer:

See attachment

Step-by-step explanation:

In attachment

The water jug for a basketball team was 7/8 full of water after the game the 8 players poured out 3/5 of the water in the jug. How much water is still there

Answers

The water left in the jug after the players poured out some water is 11/40

How to subtract fraction

Quantity of water in the jug = 7/8Water poured out of the jug = 3/5

Water remaining = Quantity of water in the jug - Water poured out of the jug

= 7/8 - 3/5

= (35-24) / 40

= 11/40

Therefore, the water still left in the jug us 11/40

Learn more about fraction:

https://brainly.com/question/11562149

If
p
=
3
and
q
=
12
, evaluate the following expression:
4
q

p
p
+
q

Answers

Answer:

51

Step-by-step explanation:

4x12-3x3+12

48-9+12=51

There are 135 people in a sport centre. 77 people use the gym. 62 people use the swimming pool. 65 people use the track. 27 people use the gym and the pool. 23 people use the pool and the track. 31 people use the gym and the track. 4 people use all three facilities, A person is selected at random. What is the probability that this person uses at least 2 facilities?​

Answers

I believe the answer is 54

If it costs $1.40 per square foot to install the garden, what is the cost for plan A?

Answers

Answer:

$9.80 bro for plan A i hope i help you

Can someone plzzz tell me if #14. b. is right plzz

Answers

Answer:

14b.) RS = 60; ST = 36; RT = 96

Step-by-step explanation:

Since you have correctly solved for y = 7, all you need to do for b is to plug in y.

RS = 8(7) + 4 = 60

ST = 4(7) + 8 = 46

(You can add RS and ST or plug in for y for RT)

RT = 15(7) - 9 = 96

Alex saved x dollars.
Ethan saved 1/3 more than that.
Write an equation for the amount of money Ethan saved. Be sure to use decimals in your
equation.

Answers

Answer:
Ethan = 1.(3x)

Step-by-step explanation:
Let's split "Ethan saved 1/3 more than that"
That = x
So, Ethan saved 1/3 more than x
Meaning that Ethan = x + 1/3x
Combine like terms
Ethan = 1 1/3x
which equals to
Ethan = 1.(3x)

Hope this helps :)
Have a great day


Evaluate the equation below.
p + 333 = 350

Answers

Answer:

17

Step-by-step explanation:

350-333 = 17

p = 17

Or...

Subtract 3 from both sides of the equation

p+333=350

+333−333=350−333

p = 17

Answer:

p=17

Step-by-step explanation:

p+333 = 350 (subtract 333 on both sides)

350-333 = 17

p = 17

Triangle RST​ has these angle measures:

m∠R=102°

m∠S=18°

m∠T=60°

v order them least to greatest.
ST
RS
TR

Answers

Answer:

tr,sr,st

Step-by-step explanation:

wider the angle, the side opp to it will be big

so side opp to <r = st which wil be biggest

side opp to <s = tr which will be smallest

so order will be tr, sr, st

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