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
Answers
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.
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
Related Questions
Here’s some point I wanted to give away to people that needs to ask about their assignment! I really felt like giving back to the community <3
Here’s the other points giveaway, if this one had been taken... :)
https://brainly.com/question/23034722
I just wanted to say thanks to the people that had helped me with my assignments and taught me how to do them, you guys are amazing!
And to make this a tiny bit more education related, what’s (1 + 82) - 3?
Answers
Answer:
80
Step-by-step explanation:
thank you so much for the points, have a great day.
Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.
Answers
The correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.
For example:
[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]
(10 raised to power k = 1 followed by k zeroes)
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we can see from the image that:
Weight shown = 3 pounds + half more pound + half of 1/10 pound more approx. (as the weight hand is approx between 5 and 6 minor ticks after the big 3 pound mark). In each minor mark, one pound is divided in 10 parts, so each minor tick adds up 1/10 of a pound. Half of 1/10 shows that after 5, the hand is not exactly on 6 but sort of in between them, so approximately half.
Thus, weight shown ≈ 3 + 0.5 (half is written 0.5 too) + 1/10 of 0.5 pounds
= 3 + 0.5 + 0.5/10 = 3.5 + 0.05 = 3.55 pounds
Thus, the weight is approx 3.55 pounds.
Converting it to fraction, we get:
[tex]3.55 = \dfrac{355}{100} = \dfrac{5 \times 71}{5 \times 20} = \dfrac{71}{20}[/tex] pounds.
Thus, the correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.
Learn more about fraction addition here:
https://brainly.com/question/17544795
Answer:
G'day. Here is your answer!
Step-by-step explanation:
3 6/16m= 3/38.
2 to 3: lb subintervals:
so each scale: 1/16 lb
Now we observe the pointer. 6 scales after 3 lb = 3 6/16 = 3 3/8 lb.
A? B? C? Or D? Please help
Answers
Answer:
i believe it should be A
Step-by-step explanation:
IF IT IS GOOD THEN I WILL GIVE BRAINLIEST!!!
Answers
Answer:i dont know. Maybe try khan academy? Good lucK!:)
Step-by-step explanation:
a box contains 2 red marbles , 5 green marbles and 5 blue marbles. If we choose a marble, then another marble without putting the first one back in the box, what is the probability of the first one being green and the other one being blue
Answers
Answer:
41% & 45%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
41/45
The number above the bar is the numerator: 41
The number below the bar is the denominator: 45
Divide the numerator by the denominator to get fraction's value:
Val = 41 ÷ 45
forty yards of fabric are used to make 9 school banners. how many yards of fabric does banner use? between what 2 whole numbers does that answer lie?
Answers
Answer:
4 4/9,4 and 5
Step-by-step explanation:
What is the outlier for the data set?
Answers
Explanation
An outlier is a number that is at least 2 standard deviations away from the mean. For example, in the set, 1,1,1,1,1,1,1,7, “7 “would be the outlier.
The ratio of an object's weight on Earth to its weight on Venus is 8:7. How much would a woman who weighs 120 pounds (lbs) on Earth weigh on Venus? (Please help, if the answer is correct, I'll mark brainliest.)
Answers
Answer:
120:105
I hope you have a lovely day/night! <3
A group of four co-workers surprises a friend with a trip to a local buffet restaurant. The cost per person for the five people is $12.80. The group will leave a 20% tip, and the four co-workers will split the cost of the tip evenly. How much will each co-worker contribute to the tip?
No random answers please!
Answers
———————————————————
Answer:
I think it will be 3.20%
Step-by-step explanation:
What is the volume of the cylinder and i need how you got the answer plz. Thank you
Answers
Answer:
471.24 inches is the volume of the cylinder.
Basically, since the diameter of the cylinder is 10 inches the radius will be 5 inches.
The formula to figure out the volume of a cylinder is V=πr2h.
So using that formula the volume of the cylinder is 471.24 inches.
V = Pi*R^2*H
V = Pi*5^2*6
V = Pi*25*6
V = Pi*150
The average surface temperature of a red giant star is much cooler than that of a white dwarf star. Suppose a white dwarf has a surface temperature of 1.2 x 10*4 Kelvin (abbreviated K), which is 4 times the temperature of a red giant star. WHat is the surface temperature of the red giant star?
Answers
Answer: 3000 Kelvin
Step-by-step explanation
Let the surface temperature of the red giant star = x
Surface temperature of a white dwarf star = 4x
4x = 1.2 × 10^4 K
= 1.2 × 10,000 K
= 12,000 K
4x = 12,000 K
x = 12000 ÷ 4
= 3,000 K
Answer:
soorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrry
Step-by-step explanation:
please help
The picture should be there. I got there is that right?
Answers
Answer:
h=9
Step-by-step explanation:
The grocery store is mile from Katie’s house and the gas station is 0.5 mile from Katie’s house.
Which comparison of these distances is both true and correctly justified?
A. Because 0.5 < , the gas station is closer than the grocery store.
B. Because 0.5 < , the grocery store is closer than the gas station.
C. Because < 0.5, the gas station is closer than the grocery store.
D. Because < 0.5, the grocery store is closer than the gas station.
Answers
Will give Brainliest! please no random letters or symbols, or you will be reported.
Answers
Answer:
Y=15x i the answer to this equation.
Step-by-step explanation:
Answer:
y = 15x
Step-by-step explanation:
To write the equation, you'd need to find the slope:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\\\\frac{60-15}{4-1} \\\\\frac{45}{3} \\\\15[/tex]
The y-intercept is 0
Select the three numbers that show 225% as an equivalent fraction, decimal, or percent. (Hint- There are three correct answers: you must choose three answers.)
A 225/50 B 225/100 C 9/4 D 0.225 E 2.25
Answers
Answer:
C, E, B
here you go. :)
Which of the following is a true statement about forces?
a. If the forces are balanced, there is no movement.
b. If the forces are balanced, the object moves quickly.
c. If the forces are unbalanced, there is no movement.
d. If the forces are unbalanced, there is slow movement.
Answers
Answer:
C
Step-by-step explanation:
Kay is using cone-shaped party hats as popcorn holders. The party hats have a diameter of 10 inches and a height of 9 inches. How many cubic inches of popcorn will they hold? Use 3.14 for pi. Round your answer to the nearest Cubic inch.
Answers
Answer:
B 236in³
Step-by-step explanation:
you use the equation
V=πr²h/3
π=PI r=Radius h=height
Sense in this problem they give you diameter instead of radius you want to divide it by 2 to get one half.
so the equation used looks like this:
3.14•5²•9/3=235.5
rounded up is 236in³
Please help, will give Brainliest!
Use the key features of the polynomial f(x) = 6x4 + 4x3 − 5x2 − 2x + 1 to describe its end behavior.
The left side continues up, and the right side continues up.
The left side continues down, and the right side continues down.
The left side continues up, and the right side continues down.
The left side continues down, and the right side continues up.
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Sandy says the graph could represent a person's walk from home to school. Why is Sandy's analysis incorrect?
A. The person does not walk at a constant rate.
B. The person walks to school and then returns home.
C. The person's distance from home decreases as time passes.
D. The person does not travel far enough to be going to school.
Answers
Answer:
C
Step-by-step explanation:
C: The graph shows that there is no movement for the first few minutes, and then the distance from home decreases (rather than increases).
What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
128°
A-
C
0
Answers
(File attached) Show how you got the answer for brainliest
Answers
Answer:
Step-by-step explanation:
in the first one 2,4,6,and 8 are equal meaning they all equal to 75. the other angles 1,3,5,and 7 equal 105 because 180 - 75 = 105
for the other ones i'm not sure srry
Ok so Ive been having trouble with Math can anyone help??
Answers
Match the verbal description with the part of the graph it describes.
1. The part of the graph that stays the same is
2. The part of the graph that slowly decreases at a constant rate is
3. The part of the graph that slowly increases at a constant rate is
4. The part of the graph that increases at an increasing rate is
5. The part of the graph that quickly decreases at a constant rate is
6. The part of the graph that quickly increases at a constant rate is
Answers
Answer: 1. F
2. C
3.a
4. E
5. D
6. B
Step-by-step explanation:
a or b ?? pls help asap
Answers
Answer: B
Step-by-step explanation:
helpppppppppp!!! :( math up ):
c) Explain how 223 compares to another mixed number.
______________________________________________________
4. Which of these is greatest?
A 4/5 × 10 1/2
B 2 1/2 × 16/5
C 3 2/3 × 2 1/2
D 2 0/3 × 9/10
(: il make u brainlist!!!! and give u a thank you!! + u get the points and ima add 5 stars :)
Answers
Answer:
A 4/5 × 10 1/2 =8.4
B 2 1/2 × 16/5 =8
C 3 2/3 × 2 1/2 = 330/36 = 9.1666
D 20/3 × 9/10 =6
C IS THE GREATEST because 9.166 is greater than 8.4, 8 and 6
I WILL GUVE BRAINLIEST! PLS PLS HELP!
Answers
Answer: the answer is d because 5 times a hundred is 500 plus the 0.54 is 54 so 500 plus 54 = 554
Brainlest pls
Step-by-step explanation:
–4c+–6–4c+4c
Solve.
...
Answers
Answer:
-4c-6
Step-by-step explanation:
-4c+(-6)-4c-4c
Group like terms
-4c-4c-4c-6
-8c-4c-6
-4c-6
A scientist looks at a cell through a microscope. The actual diameter of the cell is 2.5 x 10*-5 meters. What is the diameter of the image of the cell if it id magnified 400 times? PLS HELP. NEED IT QUICKLY TY
Answers
=1/4,000 x 400
=0.01
show on a number line and write: the numbers that satisfy the equation |a|=5
Please Hurry!!
Answers
Make 2 equivalent expressions with this expression: 9(6j + 8 + 1j)
SHOW ALL STEPS AND WORK
Please give me a good answer, I don't got time for point takers..
Answers
Answer:
54j + 72 + 9j and 63j + 72
Step-by-step explanation:
I just simplified it
So 9(6j + 8 + 1j) can be distributed to (9)(6j) + (9)(8) + (9)(1j) which equals 54j + 72 + 9j because 9*6j = 54 , 9*8 = 72 , and 9*1j = 9j
54j + 72 + 9j can also equal 63j + 72 because 54j + 9j = 63j
I hope this helped and I hope this is close to what you wanted heh :)