The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.
convert 170 kg/m^3 to g/cm^3.
If the midpoint of a segment is the halfway point, then what is the midsegment of a triangle?
Final answer:
The midsegment of a triangle is a line segment connecting the midpoints of two sides of the triangle, parallel to the third side and half its length.
Explanation:
In geometry, the midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. By definition, this segment is parallel to the third side of the triangle, and its length is half that of the third side. When we think about a triangle, we must consider it as a three-sided figure on a plane, with three angles adding up to 180 degrees. Within this triangle, the midsegment represents a special relationship between its sides and angles.
An example of a midsegment would be if you have a triangle ABC with points D and E being the midpoints of AB and AC, respectively. The midsegment DE would connect these midpoints and have properties that relate to side BC, the side of the triangle to which it is parallel.
The concept of the midsegment is useful in various geometric proofs and problems because it establishes proportional relationships within the triangle. It aids in solving problems by applying these inherent ratios and proportions.
A disc jockey has 20 songs to choose from and can only play 8 in the next half hour. how many different playlists are possible?
This problem is a combination problem since it did not indicate that there is a specified order of songs to be played. The type of combination problem is without repetition. Thus the working equation would be n!/r!(n-r)! wherein n is the total number of songs to choose from and r is the number of songs you can choose at a given time. The answer would be 125970.
Answer: 125970
Step-by-step explanation:
The number of combinations of n things taken r at a time is given by :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Similarly , the number of combinations of 20 songs taken 8 at a time is given by :-
[tex]^{20}C_8=\dfrac{20!}{8!(20-8)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15\times14\times13\times12!}{8\times7\times6\times5\times4\times3\times2\timews12!}\\\\=125970[/tex]
Hence, the number of different playlists are possible= 125970
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
The solution of the system of equations is (3, 2)
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is a system of equations,
x + 2y = 7......(i)
x - 2y = -1
x = 2y - 1.....(ii)
Put eq(ii) in eq(i)
2y-1+2y = 7
4y = 8
y = 2
Put y = 2 in eq (ii)
x = 2(2)-1
x = 4-1 = 3
Hence, the solution of the system of equations is (3, 2)
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What is v^4-1 simplified
3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.
What does 5×(-3)(-2) egual in algebra.
Which value is equivalent to ?
Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π
Answer:
200.96 square inches
Step-by-step explanation:
I took a quiz with this question and I got an A
On the first play, the football team lost 6 yards. On the second play, the team lost 5yards. What was their total change in yards?
Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.
Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.
Explanation:The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.
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Which property is NOT used when solving 15=2x-1
The associative property is not used when solving the given equation.
Explanation:The property that is NOT used when solving the equation 15=2x-1 is the associative property.
The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.
Thus, the answer to the equation is:
15 = 2x - 1
Solving for x:
15 + 1 = 2x
16 = 2x
Divide both sides by 2:
16/2 = x
8 = x
Please help! I am confused
Which fraction is in the simplest form of 224/360?
One angle in a triangle is half the largest angle, but three times the smallest. find all three angles.
jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check
Which statement is true about this argument?
Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.
The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.
Explanation:The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:
If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.So, the argument is valid and the conclusion is correctly drawn from the premises.
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Evaluate A2 for A = -3.
Answer: The required value of A² is 9.
Step-by-step explanation: We are given the following value of a variable A :
[tex]A=-3.[/tex]
We are to find the value of [tex]A^2.[/tex]
To evaluate [tex]A^2,[/tex] we need to multiply A and A.
Therefore, the evaluation is as follows :
[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]
Thus, the required value of A² is 9.
Mrs. thompson receives $596.65 from her company each month. how much does mrs. thompson receive from her company in 12 months? enter your answer in the box.
Answer:
the correct answer is $17159.80Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)
Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts? x g(x) 3 1 6 2 9 3 (1 point) the function f(x) has a higher y-intercept. the function g(x) has a higher y-intercept. they both have the same y-intercept. the relationship between y-intercepts cannot be determined.
what would 6x-4=10 be?
Which of these is equal to the value of 9-(-5)?
HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?
What's 17= z- (-9) days
The calculated value of z in the equation 17 = z - (-9) is 8
How to determine the value of z in the equation
From the question, we have the following parameters that can be used in our computation:
17 = z - (-9)
When the bracket is evaluated, we have
17 = z + 9
So, we have
z = 17 - 9
Evaluate
z = 8
Hence, the value of z in the equation is 8
Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?
Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?
martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.
25900.1000 in scientific notation
259001 x 10^4 is the answer