Given: circle k(O), diameter US, measure of arc RU=50, measure of arc UT=30
Find: measure of angle RUS and measure of angle UST

Given: Circle K(O), Diameter US, Measure Of Arc RU=50, Measure Of Arc UT=30Find: Measure Of Angle RUS

Answers

Answer 1

Answer:

angle RUS = 65 degrees

angle STU = 90 degrees

Step-by-step explanation:

(a) find angle RUS

Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees

Since US is the diameter,

angle URS is a right-angle.

Consider triangle RUS,

sum of angles of a triangle = 25+90+RUS = 180  

solve for

RUS = 180 - 25 - 90 = 65 degrees.

(b) Find STU

All diameters span a right angle at the circumference,

since we're given US is a diameter, this means that

angle STU is a right angle.

Answer 2

The measure of the ∠RUS is 65°, while the measure of ∠UST is 15°.

What is Thales theorem?

The angle ABC is a right angle if A, B, and C are different points on a circle where the line AC is a diameter, according to Thales' theorem.

We know that when an angle is made by the diameter of a circle at its circumference, then the measure of that angle is 90°.

In ΔUST,

The angle made by the diameter is ∠UST, therefore, the measure of this angle will be 90°. Since the measure of the arcRU=50°, therefore,

arcRU = ∠ROU = 50°, Also,

[tex]\angle RSU=\dfrac{\angle ROU}2 =\dfrac{50^o}2 = 25^o[/tex]

Now, the sum of the angles of a triangle is 180°.

∠R+∠U+∠S=180°

90°+∠RUS+25°=180°

∠RUS = 65°

In ΔRUS,

The angle made by the diameter is ∠URS, therefore, the measure of this angle will be 90°. Since the measure of the arcUT=30°, therefore,

arcUT = ∠UOT = 30°, Also,

[tex]\angle UST=\dfrac{\angle UOT}2 =\dfrac{30^o}2 = 15^o[/tex]

Thus, the measure of the ∠RUS is 65°, while the measure of ∠UST is 15°.

Learn more about Thale's Theorem:

https://brainly.com/question/14417137


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plzzzzzzzzzzzzz help!!!

Answers

it is not a perfect square trinomial.
Explanation:
Perfect square trinomials are of the form:
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
then:
x
2
+
10
x
+
100
is not a perfect square trinomial:
a
=
x
,
b
=
10
,
2
a
b
=
20
x

The graph shows Marcia's walk. Which statement best describes what Marcia could be doing on the interval from B to C? A. Marcia is running home. B. Marcia is walking home. C. Marcia is turning a corner. D. Marcia is stopping to rest.

Answers

Answer:

B. Maria is walking home

Step-by-step explanation:

Sana nakatulong

B. Marcia is walking home

Rectangle ABCD was dilated to create rectangle A’B’C’D’. The area of rectangle ABCD is 16 in and the area of the rectangle A’B’C’D’ is 64 in. Which scale factor was used to dilate the rectangle?

A.2
B.4
C.8
D.16

Answers

It 4 so your answer is B

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Answers

Answer:

V=whl is volume of rectangular prism

Answer:

0.4375

Step-by-step explanation:

1 3/4 x 1/2 x 1/2

explain the steps needed to find the area of a triangle AND a trapezoid.

Answers

Answer:

hi

Step-by-step explanation:

Both parallel sides are called bases. To find the area of a trapezoid we need to divide it into two triangles. Both triangles produced have the height h. The area of the trapezoid is the sum of the areas of the two triangles.

please help there both on probability using a spinner which is the spinner in the photos

Answers

1. 3/8
2. No. E(3/8) B(1/8)
3. 1/2
4. Yes both has (1/8) probability
5. 1/4
6. 1/2
7. 1/2
8. 2/3
9. 5/6
10. 1/6
11. 2/3
12. 1/3
13. 1/2
14. No 3(1/6) 4(1/3)

The probability of the spinner landing on A is 3/8, the probability of the spinner not landing on C or E is 1/2

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

1) What is the probability of the spinner landing on A:

Total outcomes = 8

Total favourable = 3 (A repeated 3 times)

Probability = 3/8

2) Do you have an equal chance of landing on either B or E:

No, because the probability for B is 1/8 and the probability for E is 3/8

3) What is the probability of the spinner not landing on C or E:

P(not landing on C or E) = 4/8 = 1/2

4) Do you have an equal chance of landing on either B or C:

Yes, because both event has same probability = 1/8

5) What is the probability of the spinner not landing on A or E:

P(not landing on A or E) = 2/8 = 1/4

6) What is the probability of the spinner landing on C or E:

P(landing on C or E) = 4/8 = 1/2

7) What is the probability of the spinner not landing on A or B:

P(not landing on A or B) = 4/8 = 1/2

Similarly, we can find the rest of the probability.

Thus, the probability of the spinner landing on A is 3/8, the probability of the spinner not landing on C or E is 1/2

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

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Answers

Answer:

D

Step-by-step explanation:

15% of 140 = 21

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Answers

Answer:

m - n - 4

Step-by-step explanation:

9m + 4n - 1 - 6m - (n + 3) - (2m + 4n)

= m - n - 4

Answer the given questions please!! <3

Answers

Jada is correct because 25% of 2 kg is .5 so you subtract .5 to 2 and it gives you 1.5.

1.) Complete the table to show how the number of pencils, p, depends on the number of boxes, B. Function: p=5b+1
PLEASE GIVE ME THE ANSWER IMMEDIATELY!!!!!!
This the graph below
b p
5 26
6
7
8

Answers

Answer:

b p

5 26

6 31

7 36

8 41

Step-by-step explanation:

u just substitute b with the b numbers

I'm pretty sure that's what u meant :)

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Answers

Answer:

Step-by-step explanation:

3

ONLY ANSWER IF YOU KNOW THE ANSWER. Today only, a sofa is being sold at a 72% discount. The sale price is $151.20.
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Answers

Answer:

42.336 or 42.34 if you round

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

I hope this helps!

Let me know if I am wrong

Samantha is investing $7000 in a savings account that earns 4% simple annual interest. How much interest will she earn after 5 years?

Answers

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1400is the correct answer for the question above

PLEASE HELP THIS IS DUE TODAY I NEED SERIOUS HELP I DON'T UNDERSTAND THIS PAGE?!

Answers

Answer:

240 Feet Cubed

Step-by-step explanation:

Assuming you need the area of the elevator, just multiply the length*width*height, which would be 5*6*8=240

Kristi and Dan are training for an upcoming swim meet. The mean and the MAD below represent their practice time in seconds for the 50 meter free style race. Kristi's mean is 56 and MAD 3.25. Dan's mean is 53 and MAD 1. What does this information say about their practice time

a.Kisti's data varies more than Dan's
b.Dan's data varies more than Kristi's
c.Kristi practices longer than Dan
d.Dan practices longer than Kristi

Answers

Iiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

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Answers

Answer:

No 4 is easy you get 2/3

My explanation is just make the denominator the same which is 13/6 - 9/7

13 x 7/6x7 - 9x6/7x6

The answer it its 91/42 - 63/42

=28/42

If you simply it it would be 2/3

(/ this means by) sorry for my bad explanations

1. In stanza 4 of “Every Time I Climb a Tree,” what is meant by “But still it’s pretty good for me”? (RL 2.4) A All the things the speaker sees are worth the scrapes and tears. B Every time the speaker climbs a tree, people ask where he has been. C The speaker scrapes his legs when he climbs trees. D When the speaker climbs trees, he sees ants and bees.2. What does the author of “Every Time I Climb a Tree” suggest about freedom? (RL 1.2) A Climbing trees is dangerous. B Taking risks to do something fun is liberating. C Listen to your parents and you won’t get hurt. D Unlike children, bees and ants are really free.

Answers

Answer:

are you sure this is math because it looks more like a english..

Step-by-step explanation:

Harmonee walks 3/4 of a mile to the store. As she walks, she stops every 1/4 mile to take a sip from her water bottle. How many times does she stop?

Answers

She stop 3 times....

im not good with this. also letters should have never been added to math.

Answers

Answer:

153

Step-by-step explanation:

Answer: and explanation

multiply both sides of the equation by 3 to get:

3V = Bh      then divide both sides by h

h=3v/B

Plz help me with this

Answers

The gifts-2882282828

Is the vertex of the graph a maximum or a minimum?
A. maximum
B. minimum
C. neither
D. both

Answers

There is no graph. Can you upload it?
B is the answer sorry if wrong

Find the rate in mountains per month

Answers

4 mountains a month

4 Mountains a month

helppppppppppppppp plz

Answers

Answer:

B

Step-by-step explanation:

hurry im running out of time
Which angles shown in the drawing are supplementary?

https://dw6y82u65ww8h.cloudfront.net/organisations/328/f8eb1048-7c08-416a-bf24-6e5eeb072548/img_intersecting_lines_d.gif


∠EBA and ∠DBC
∠ABD and ∠ABE
∠CBE and ∠ABD
∠EBC and ∠ABE

Answers

Answer:

it is ∠EBA and ∠DBC i think

Step-by-step explanation:

help I cant remember what is A slope

Answers

Answer: A slope is basically basically a number that describes the steepness and direction of the line.

To solve for a slope of the line, it is simply rise/run

RISE = How much did the line go up

RUN = How much did the line go in a horizontal fashion

slope is the how much the graph grows by. to find slope you can find the rise/run which is like looking at a graph a drawing a triangle on the box and you put how many boxes they rise by and you put that over run. if you need more help just search up rise over run and it’ll give you more on what im talking about
i hope this helps you!!

Draw a line of fit using (15,25) and (5,35)

Answers

Answer:

your right

Step-by-step explanation:

you had it right nothing to do

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Answers

I think the answer is 32 if I did my math right sorry if it wrong
It is 32! Hope this helped

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-7y=4x-8

Answers

Answer:

Step-by-step: 6+2y-=x 3+2x-=y

y

=

x

2

+

3

It’s either 6x-4yor 6x-4y-4

PLZ, QUICKLY IT IS HOMEWORK Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph. How long after they leave the station will they be 50 km apart?

Answers

Answer:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

Step-by-step explanation:

The given is,

                  One train travels at an average speed of 80 km/hr

                  The other travels at an average speed of 70 km/hr

Step:1

     Formula to calculate the distance traveled by two trains,

     Distance traveled by two trains = (Rate of speed of train one +

                                                          Rate of speed of other train) × Time

        From the given the above equation becomes,

        Let, h = Time taken to each the distance

                                         50 = ( 80 + 70 ) h

                                           50 = (150) h

                                             

                                                 = 0.3333 hours

                                                 = ( 0.333 × 60 )          ( ∵ 1 hr = 60 minutes )

                                               h = 20 minutes

Step:2

           Check for solution,

           From equation (1),

                          50 = ( 80+70 ) (0.3333)

                          50 = (150)(0.3333)

                          50 = 50

Result:

         20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart.

Step-by-step explanation:

NEED HELP ASAP 15 POINTS
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Drag each tile to the correct location.

Winona has saved enough money to start a small baking business at home. She plans to do the baking herself and hire only two assistants. She plans to supply her products to cafes and cake shops and also accept home orders.

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Answers

Use the app Socratic it helps!!
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