Answers
First and second options are correct answers
Answer:
[tex] m\angle QRT = 90°\\
m\angle QRT =m\angle SRT[/tex]
Step-by-step explanation:
[tex] \triangle QST\: is \:an \:isosceles \:\triangle\\
ST \cong QT ... (GIVEN) \\
\overline{RT} \: bisects \: \angle T\\
\therefore TR \perp SQ\\
(By\: angle \: bisector \: postulate\: of\: an\:\\ isosceles\:\triangle) \\
\therefore m\angle QRT =m\angle SRT= 90°\\[/tex]
Answer:
A & B
Step-by-step explanation:
Related Questions
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 people use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility
Answers
To find : Probability that person doesn't use any facility
Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11
So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130
P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130
Prob [ Person uses either P or G or T ] :
P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130
Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130
Hence, Probability that person doesn't use any facility = 35 / 130
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Answer:flying gorillla
Step-by-step explanation:because no
I need help urgently
Answers
The shorter base is equal to 6yd
The longer one is equal to 8yd
Vertical angles are always adjacent.
True False
Answers
Answer:
False
Step-by-step explanation:
Vertical angles are opposite to each other, so they are not adjacent.
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it
take you to drive to Indianapolis if you are traveling at 68 mi/h (1 mile 1.61 km).
Round your answer to the nearest hundredth.
Answers
Answer: 3.20 hours
Step-by-step explanation:
Hi, to answer this question, first we have to convert the kilometers into miles:
Since: 1 mile = 1.61 km
For 350km:
350 /1.61 = 217.39 miles
Next, we have to apply the next formula:
Time = distance / speed rateReplacing with the values given:
Time = 217.39 mi / 68 mi/h = 3.20 hours
Feel free to ask for more if needed or if you did not understand something
What fraction is greater 6/8 or 3/2
Answers
Explanation: 3/2, or 1 1/2 is an improper fraction, while 6/8, or 3/4 is just a fraction.
So, 3/2 > 6/8
Answer:
3/2
Step-by-step explanation:
3/2 is greater than 1. 6/8 is less than one.
please help!! any help is appreciated
Answers
Answer:
10 ounces
Step-by-step explanation:
Convert the original container into ounces. (1 quart=32 ounces)
5 x 32 = 160 ounces
Then the milk is divided into two containers.
160 / 2 = 80
Each container is then divided into 8 glasses.
80 / 8 = 10
Each glass has 10 ounces of milk in it.
Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, what was the total price Kelly paid for it?
Answers
Answer: $ 1361.04
Step-by-step explanation:
Discount will be 1060 * 20% = 212
Sales price 1060 + 212 = 1272
Tax 7% = 89.04
Kelly paid 1272 + 89.04 = 1361.04
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answers
Answer:
a
Step-by-step explanation:
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
B
Step-by-step explanation:
There are 60 girls and 40 boys attending a test. It is known that 80% of the girls pass and 15% of the boys fail the test. Find the percentage of students fail.
helpppppp plz
Answers
Answer:
54%
Step-by-step explanation:
20% of 60 = 48
15% of 40 = 6
48 + 6 = 54 fail
need help ASAP!!!
Find the sum of each infinite geometric series, if it exists
Answers
The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.
Assuming the second series is
3 - 3/2 + 3/4 - 3/8 + ...
then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.
To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:
S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)
Multiply both sides by -1/2:
(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n
When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:
S - (-1/2) S = 3 - 3(-1/2)^n
S/2 = 3[1 - (-1/2)^n]
S = 6[1 - (-1/2)^n]
As n gets larger, the (-1/2)^n term will converge to 0, leaving us with
lim (n -> infinity) S = 6
so that the series converges to 6.
All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points
Answers
The study with an error range of +-6 percentage points would be the most reliable.
As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.
So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.
Thus, with an error range of +-6 percentage points, has the smallest range.
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plz help with super easy question
Answers
Answer:
its B binomial
Step-by-step explanation:
Hope it'll help
Answer:
binomial
Step-by-step explanation:
There are 2 terms within the given expression:
Term #1: 5a²b²
Term #2: -ab³
A monomial only has one term. Ex: 3x³
A binomial has two terms. Ex: 3x³ + 3
A trinomial has three terms. Ex: 6x³ + 3x² + 2
~
help me pls if you the question
Answers
Answer:
[tex]90= 2 \times 3^2 \times 5[/tex]
Step-by-step explanation:
[tex]90= 2 \times 3 \times 3 \times 5[/tex]
[tex]90= 2 \times 3^2 \times 5[/tex]
Answer:
2,3,5
What does prime number mean?
=> A prime number is a number which can be written only as a product of 1 and itself.
Please see the attached picture
Hope it helps..
Good luck on your assignment..
Which statement below is the correct definition for denoting similar objects?
A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides
Answers
Answer:
C. Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
I took the test.
The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.
It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.
It should be noted that they don't have objects have congruent angles and congruent sides.
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En la tienda tienen estas ofertas : 1/4 kg de chorizo : 9,25 €. 1/2 kg de queso : 8,50€.¿Cuánto vale 1 kg de cada producto?¿Cuánto cuesta un queso de 2kg?
Answers
Answer: 1. €37 and €17
2. €34
Step-by-step explanation:
Given Data:
Cost of 1/4kg of chorizo = €9.25
Cost of 1/2kg of cheese = €8.50
Therefore:
1. Cost of 1kg of each product.
If 1/4 kg or chorizo cost €9.25,
1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1
1kg = 1/4 + 1/4 + 1/4 + 1/4
Or
1kg = 4 * €9.25
1kg = €37
Cost of 1kg of chorizo is €37
Cost of 1kg of cheese
If 1/2kg = €8.50
Then; 1kg = 1/2 + 1/2
1kg = €8.50 + €8.50
1kg = €17
Cost of 1kg of cheese = €17
2. Cost of 2kg of cheese.
If 1kg of cheese cost €17
2kg = 2 * €17
2kg = €34
Cost of 2kg of cheese is €34
what is -5(3m+4)= Please help
Answers
Answer:
-15m-20
Step-by-step explanation:
-5(3m+4)
you have to multiply -5 by 3m and 4
-5x3m=-15m and -5x4 would be -20
so it would be -15m-20
Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false
Answers
Answer: False, language is a more specific word.
Step-by-step explanation:
Language is a complex and structured system of communication.
This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.
The thing in the sentence is more general than language, this refers to communication:
"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."
So the actual sentence is false.
A panda weighed 8 pounds and gains 12 pounds every month. What is the vertical intercept (y-intercept) and what does it mean in the context of the situation?Immersive Reader
Answers
Answer:
y=8x+12
Step-by-step explanation:
Can i have some help please?
5(2x + 1) + 50
Answers
Answer:
4.5
Step-by-step explanation:
5(2x+1)=50
5(2x)+5(1)=50
10x+5=50
10x=45
x=4.5
Hope this helps!
Answer:
4.5
Step-by-step explanation:
To solve, expand first
5(2x+1) = 5 x 2x + 5 x 1 = 10x + 5
Now, we have
10x+5 = 50
Rearrange:
10x+5 = 50
10x = 45
x = 4.5
Hope this helps,
Good Luck
A bicycle wheel turns at 80 rpm. If the rider travels 27.227 m in 10 seconds, what is the radius of the wheels of the bicycle?
Answers
Answer:
2.042 meters
Step-by-step explanation:
We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:
v = w * r
w = 80 rpm, but we must pass it to seconds, that is:
80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.
v = distance / time = 27,227 / 10 = 2.7227
therefore, the radius would be:
r = v / w = 2.7227 / 1,333
r = 2.042
Which means that the radius is 2.042 meters.
In the diagram below, the measure of angle 3 is 140, what is the measure of angle 5 ?
I need help with question number 2.
Help me please !
Answers
Answer:
2
Step-by-step explanation:
Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.
This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
Answers
Answer:
f of 5 equals negative 1
Step-by-step explanation:
equation- f(x) = -x + 4
f(5) = -5 + 4
f(5) = -1
Answer:
f(5)=-1
Step-by-step explanation:
) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent and electricity and one-twentieth of her salary on the telephone. She donated some amount to the Prime Minister's relief fund for the pandemic affected victims. She was left with ₹ 3000. If her monthly salary is ₹ 30,000: Find the amount she donated to the Prime Minister's Relief Fund
Answers
Answer:
₹ 4000
Step-by-step explanation:
Sarah's salary =₹ 30000
one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500donated some amount to the Prime Minister's relief fund = xShe was left with ₹ 3000.x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000
if a sixth skateboard is added to the sample that has a price of $450, what happens to the standard deviation
Answers
Answer:
75
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE YOU 15 POINTS.
1. Find the simple interest you will obtain if you deposit $600 in bank for 9 months at 4 %per annum.
2. A man walks at a rate of 1.25 / . Find the time he takes to walk 3.75 km.
Answers
Answer:
(1) The formula to calculate simple interest (SI), with principal = 600$, annual rate = 4% = 0.04, and time = 9 months is:
SI = principal x rate x time
= 600 x (0.04/12) x 9
= 18$
(2) The formula to calculate the time that man walked 3.75 km, with rate of 1.25:
Time = Distance/Rate
= 3.75/1.25
= 3
Hope this helps!
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answers
Answer:
200g oats
0.96l milk
72g sugar
Step-by-step explanation:
250/5 * 4 = 50 *4 = 200g oats
1.2/5 * 4 = 0.96l milk
90/5 * 4= 18*4 = 72g sugar
Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?
Answers
Answer:
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.
The lcm and gcf of two numbers are200 and 10. if one of the number is 50.find the second number
Answers
Answer:
40
Step-by-step explanation:
lcm = 200
gcf = 10.
one of the numbers = 50
--------------
LCM(a,b)*GCF(a,b)=a*b
200*10= 50*xx= 2000/50x=40Answer:
40
Step-by-step explanation:
Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?
Answers
Answer:
700/1=700
Th ratio is 700 times more so we multiply by 700
700 x 0.72 = 504
504 pounds
Hope this helps
Step-by-step explanation:
She will get 504 pounds by multiplying 700×0.72= 504.
What is the benefit of changing currency?Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.
Can you change the currency at the bank?
Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).
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How much is (2.5-3 minutes)
Answers
Answer:
150 - 180 seconds
Step-by-step explanation:
Let change minutes to seconds
1 minute = 60 seconds
2.5 minutes * 60 =150 seconds
3 minutes * 60 = 180 seconds
150 - 180 seconds