This figure shows the procedure for constructing a
A. Pair of parallel lines
B. Bisector of an angle
C. Perpendicular from a point on a line
D. Perpendicular bisector
Answer:
B
Step-by-step explanation:
Which postulate or theorem can be used to prove that △ABC≅△ADC? ASA Congruence Postulate SAS Congruence Postulate HL Congruence Theorem SSS Congruence Postulate
Both the triangles ΔABC and ΔADC are congruent by SSS postulate of congruence.
From the picture attached,
In ΔABC and ΔADC,
AB ≅ AD (Given)
BC ≅ CD (Given)
AC ≅ AC (Reflexive property)
Since, corresponding sides of ΔABC are equal to ΔADC,
Therefore, ΔABC ≅ ΔADC (By S-S-S postulate of congruence)
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Which characteristic is used to group artworks into periods or styles?
A: Abstract
B: Similar
What metamorphic rock has nonfoliated texture?
Answer:
Marble, quartzite, and soapstone.Step-by-step explanation:
Non-foliated metamorphic rocks are those which don't have a rough texture, like foliated ones, their composition gives them this characteristics: not having layers or banded appearance.
Branliest offered
A. What is the circumference of the colony?
B. What is the radius of the colony?
Bacteria lives in groups called colonies colonies are usually circular the diameter of a particular bacterial colony is 12 mm their circumference of a circle is equal to Pi 3.14 times its diameter c= πd
A charity organization had a fundraiser where each ticket was sold for a fixed price. They had to sell a few tickets just to cover necessary production costs of $1200\$1200 $1200 dollar sign, 1200 . After selling 200200 200 200 tickets, they had a net profit of $12,000\$12{,}000 $12,000 dollar sign, 12, comma, 000 . Let P(n)P(n) P(n) P, left parenthesis, n, right parenthesis denote the net profit from the fundraiser PP P P (measured in dollars) as a function of the number of tickets sold nn n n . Write the function's formula
Answer:
[tex]P(n)=66n-1200[/tex]
Step-by-step explanation:
Let x be the revenue collected from selling each ticket.
We have been given that a charity organisation had to sell a few tickets just to cover necessary production costs of $1200. After selling 200 tickets, they had a net profit of $12,000.
Since we know that net profit is the difference between total revenue and total cost.
[tex]\text{Net profit}=\text{Total revenue- Cost}[/tex]
We can represent our given information in an equation to find the revenue collected from each ticket:
[tex]12000=200x-1200[/tex]
Let us solve for x by adding 1200 to both sides of equation.
[tex]12000+1200=200x[/tex]
[tex]13200=200x[/tex]
[tex]x=\frac{13200}{200}[/tex]
[tex]x=66[/tex]
Therefore, the revenue collected from selling each ticket is $66.
Now let us write the net profit, P(n), from fundraiser as the function of number of tickets sold,n.
The revenue from selling n tickets will be 66n.
Production costs = 1200
[tex]P(n)=66n-1200[/tex]
Therefore, our desired function will be: [tex]P(n)=66n-1200[/tex].
PLEASE HELP!!!!!!!!!!
Whats the value of a?
a-2=3+6a/3
a=
Answer:
a–2=3 6a/3
So I was told The answer was -5 but all the people r wrong its -3
proof
What is 24 ten thousands in standard form
We have that the standard form of 24 ten thousands is
240,000
From the Question we are told that
24 ten thousands is given
Where
24 ten thousands=24*10000=240,000
Generally the standard form of 24 ten thousands is
240,000
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I don’t understand 9) PLEASE HELP!!! The line y=2.5x-7
harold serves himself 1 1/2 ounces serving of cereal each morning. How many servings does he get from a box of his favorite cereal?
The measure of an angle is 8 greater than 3 times its supplement. Find he measurement of the angle.
Color in equations what to color in 1+2+3+4=10 What cubes to color in?
Mandy divided a 12-pound bag of sand into 5 equal pilss What is the weight of each pile
The equation 9.95 + 0.30s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs
9.95 + 0.30s=c
replaces s with 35
9.95 +0.30(35) =c
9.95 + 10.50 = 20.45
it will cost $20.45
An urn contains 3 green balls, 2 blue balls, and 4 red balls. in a random sample of 5 balls, find the probability that at least one blue balls is selected.
Final answer:
To find the probability of at least one blue ball being selected from an urn with green, blue, and red balls in a sample of 5, calculate the probability of not selecting any blue balls and then subtract it from 1.
Explanation:
An urn contains 3 green balls, 2 blue balls, and 4 red balls. In a random sample of 5 balls, find the probability that at least one blue ball is selected.
Calculate the probability of not selecting any blue balls: P(no blue) = (7/9) * (6/8) * (5/7) * (4/6) * (3/5) = 0.167
Find the probability of at least one blue ball: P(at least one blue) = 1 - P(no blue) = 1 - 0.167 = 0.883
Helppp 3 out of the 5 im gunna post!
look where the line is on the y axis at x =2
answer is y=-3
value is -3
John wants to buy a watermelon that weighs 5.7 pounds.The watermelon is priced at $1.58 per pound.How much is the total cost of the watermelon
Suppose you invest $2000 at an annual interest rate of 4.5%. how long will it take for it to earn $495?
To calculate how long it takes for an investment to earn a certain amount in simple interest, use the formula T = I / (PR), where I is the interest, P is the principal, R is the rate of interest, and T is the time. For a $2000 investment at 4.5% interest to earn $495, it would take approximately 5.5 years.
Explanation:The subject of this question is Simple Interest. The formula for calculating simple interest is I = PRT, where I is the interest, P is the principal (the initial amount of money), R is the rate of interest per time period, and T is the time. In this case, we know the interest ($495), the principal ($2000), and the rate (4.5% or 0.045 as a decimal). We're trying to find out the time, so we rearrange the formula to T = I / (PR).
Substituting our known values, we get T = 495 / (2000 * 0.045). Doing the math, the time it takes for the investment to earn $495 is approximately 5.5 years.
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Last weekend Jane studied 4 2 3 hours for her history final and 4 1 4 hours for her math exam. How many hours in all did Jane study for the two tests?
Jane studied a total of 5 11/12 hours for her history final and math exam.
Explanation:To find the total number of hours Jane studied for the two tests, we add together the number of hours she studied for each test. Jane studied 4 2/3 hours for her history final and 4 1/4 hours for her math exam.
To add these fractions, we need to have a common denominator. The least common multiple of 3 and 4 is 12. We can convert 2/3 to 8/12 and 1/4 to 3/12.
Now we can add the fractions: 4 8/12 + 4 3/12 = 5 11/12.
Therefore, Jane studied a total of 5 11/12 hours for the two tests.
Final answer:
Jane studied a total of 7 3/4 hours for her history and math exams.
Explanation:
To find out how many hours Jane studied for the two tests, we simply need to add the hours she studied for each test together.
Jane studied 4 2/3 hours for her history final and 4 1/4 hours for her math exam.
We can add these two fractions by finding a common denominator and then adding the numerators.
In this case, the common denominator is 12. So, we have (4 * 4 + 2) / 3 = 18/3 and (4 * 3 + 1) / 4 = 13/4.
Adding these fractions together, we get (18/3) + (13/4) = 54/12 + 39/12 = 93/12. Simplifying this fraction, we get 7 3/4 hours.
Therefore, Jane studied a total of 7 3/4 hours for the two tests.
I need help on this immediately. Please help me.
One of the largest pumpkins ever grown weighed about 3/4 ton how many lb did the pumpkin weigh
There are X giraffes at the zoo the number of elephants is 4 Less Than 3 times the number of giraffes and there are more than 23 elephants
Brand A cereal contains 10 cups of cereal. How many more cups of cereal are in Brand B cereal? 30% more cereal
Answer:
there are 13 more cups
Step-by-step explanation:
i already did it
In 1997, there were 43.2 million people who used free weights. Assuming the use of free weights increases 6% annually, which equation can be used to predict the number of people using free weights t years from 1997?
p = 43.2(0.06)t
p = 43.2(1.06)t
p = 43.2(0.94)t
p = 43.2(1.005)t
The correct equation to predict the number of free weight users is option B) p = 43.2(1.06)t. This equation accounts for a 6% annual increase in users.
Predicting the Number of Free Weight Users
In 1997, there were 43.2 million people using free weights. Given that the annual increase rate is 6%, we use the exponential growth formula to predict the number of people in future years. The correct equation to use is:
p = 43.2(1.06)t
This equation represents an exponential increase, where 'p' is the number of people using free weights and 't' is the number of years since 1997. This can be explained by the fact that a 6% annual increase multiplies the original number of users by 1.06 each year.
Evaluate. 3−1⋅(4⋅6)⋅2−3 Enter your answer in the box.
The answer to this question is 1
Select the classification of the polynomial using its degree and number of terms. 6x^3 The polynomial is classified as a
-cubic monomial
-quadratic monomial
-cubic trinomial
Two cab rides cost the same amount for the same number of miles, m. Which situation can be represented by the equation 2.50 + 0.50m = 1.00 + 0.75m?
One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.
The value of m is 6 in the equation 2.50 + 0.50m = 1.00 + 0.75m.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Two cab rides cost the same amount for the same number of miles, m.
The given equation is 2.50 + 0.50m = 1.00 + 0.75m.
Two point five zero plus zero point five zero times m equal to one point zero plus zero point seven five times m.
First cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.
2.50 + 0.50m = 1.00 + 0.75m
2.50-1.00=0.75m-0.50m
1.5=0.25m
Divide both sides by 0.25
m=6
Hence, the value of m is 6 in the equation 2.50 + 0.50m = 1.00 + 0.75m.
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Select the postulate that is illustrated for the real numbers. 5 + (-5) = 0
The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The addition of zero postulate
The multiplication inverse
the answer is F.The addition of zero postulate
The addition inverse postulate explains the relationship between numbers like 5 and -5 that add up to zero, crucial for understanding real number properties.
The addition inverse postulate is illustrated by the expression 5 + (-5) = 0 for real numbers. This postulate states that for every number, there exists an additive inverse that when added together results in zero.
For example, in the given expression, 5 and -5 are additive inverses of each other, and when added, they cancel out to give zero, satisfying the addition inverse postulate.
This concept plays a crucial role in understanding the properties and operations of real numbers.
Perform the indicated computation. write the answer in scientific notation. 12x10^4
Four students wrote statements about cosecant, secant, and cotangent values as shown below.
Anik
The cosecant, secant, and cotangent of an acute angle may be greater than 1 or less than 1.
Isabella
The cosecant, secant, and cotangent of an acute angle are always greater than 1.
Kayla
The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.
Morris
The cosecant and secant of an acute angle may be greater than or equal to 1, but the cotangent of an acute angle is always less than 1.
Which student is correct?
Answer:
c Kayla is answer
Step-by-step explanation:
Since sine lies between-1 and +1 we have cosecant, reciprocal of sin lying always outside -1 and 1.
i.e. |cosec x|>1
For acute angle sine, cos , tan are positive
So cosec x >1 and similarly since cos x <1, sec x >1 always
But tanx varies between 0 and infinity for acute angles
Hence cot can take values from 0 to infinity
Hence the correct answer is that of Kayla
The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.
The statement about cosecant, secant, and cotangent values that is correct is Kayla's: The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.
What is the sine of an angle?In Trigonometry, the sine of an acute angle is a ratio of the length of an opposite side of a right-angled triangle to the length of its hypotenuse. Also, the sine of an angle generally lies between -1 and 1.
What is the cosecant (cosec) of an angle?In Trigonometry, the cosecant (cosec) of an acute angle is a ratio of the length of its hypotenuse to the length of an opposite side of a right-angled triangle. Thus, the cosecant of an angle is the reciprocal of the sine function and as such lies outside -1 and 1.
What is the cotangent of an angle?The cotangent of an acute angle is a ratio of the length of its adjacent side to the length of an opposite side of a right-angled triangle.
In conclusion, Kayla's statement about the values of cosecant, secant, and cotangent is correct.
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