What is the value of x?
What Theorem of postulate did you apply to determine your answer?
Show your work and explain.
Answers
notice, both angles are lying on a flat-line, surely you'd know what "x" is then.
Related Questions
need help.... what is half of 1 3/4 IN A FRACTION plzzzzz
Answers
7/4 x 2/1 is 14/4 or 3 1/2
now half of 14/8 is easy
The glee club has a set of 48 classical cds and a set of 42 show tune cds. each set can be divided equally among the club members. what is the greatest possible number of club members?
Answers
Factors of 48:
1,2,3,4,6,8,12,16,24,48
Factors of 42:
1,2,3,6,7,14,21,42
The largest common factor of these two numbers is 6.
So, there can be a maximum of 6 members in the club..
Hope this helped!
The greatest possible number of club members that we can divide 48 classical CDs and 42 show tune CDs is 6.
What is HCF?HCF is the highest common number or factor that divides two or more than two given numbers completely.
These types of questions can be solved by the concept of HCF.
Given that the glee club has a set of 48 classical CDs and a set of 42 show tune CDs and we have to determine the highest number of club members so that we can distribute these two types of CDs to the club members equally.
∴ The HCF of 42 and 48 is 6, we know 2 and 3 also divides 42 and 48 but they are not the largest number.
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How is volume calculated given mass and density?
Sum of mass and density
Mass divided by density
Mass multiplied by density
Difference of mass and density
Answers
Answer:
B.
Step-by-step explanation:
when trying to calculate the volume when being given the M or the mass, and the D or density, hears is the calculations needed for that: P=M/V, which also means volume is the mass divided by the volume, or density. Hence, the answer would be mass divided by density. hope this helps!!! (also, please give me brainliest.)
Volume is calculated given mass and density is Mass divided by density.
What is volume?
Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch).
Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied.
Density is defined as a measure of how compact the mass in a substance or object is.
Since, density of a substance is measure as the ratio of its mass to its volume,
Density = Mass/Volume
or, Density x volume = mass
or, Volume = Mass/Density
Hence,Volume is calculated given mass and density is Mass divided by density.
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Write an equivalent expression using the multiplicative identity property
Answers
For an expression equivalent to, let's say, -8, you could do: -2 + -6.
He area of a rectangle is 27 m2 , and the length of the rectangle is 3 m less than twice the width. find the dimensions of the rectangle.
Answers
The width of the rectangle is 4.5 meters, and the length is 6 meters.
Let's denote the width of the rectangle as [tex]\( w \)[/tex] and the length as [tex]\( l \)[/tex].
1. The area [tex]\( A \)[/tex] of a rectangle is given by the product of its length and width, so we have the equation:
[tex]\[ A = l \times w \][/tex]
Since the area is given to be 27 square meters, we can write:
[tex]\[ l \times w = 27 \][/tex]
2. The length of the rectangle is 3 meters less than twice the width.
This relationship can be expressed as:
[tex]\[ l = 2w - 3 \][/tex]
This is our second equation.
Now we have a system of two equations with two variables:
[tex]\[ \begin{cases} l \times w = 27 \\ l = 2w - 3 \end{cases} \][/tex]
We can substitute the expression for [tex]\( l \)[/tex] from the second equation into the first equation:
[tex]\[ (2w - 3) \times w = 27 \][/tex]
Expanding the equation, we get:
[tex]\[ 2w^2 - 3w - 27 = 0 \][/tex]
To solve this quadratic equation, we can factor it:
[tex]\[ (2w - 9)(w + 3) = 0 \][/tex]
Setting each factor equal to zero gives us two possible solutions for [tex]\( w \)[/tex]:
[tex]\[ 2w - 9 = 0 \quad \text{or} \quad w + 3 = 0 \][/tex]
Solving for [tex]\( w \)[/tex], we get:
[tex]\[ w = \frac{9}{2} \quad \text{or} \quad w = -3 \][/tex]
Since the width of a rectangle cannot be negative, we discard [tex]\( w = -3 \)[/tex].
Thus, [tex]\( w = \frac{9}{2} \)[/tex] meters, which simplifies to [tex]\( w = 4.5 \)[/tex] meters.
Now we can find the length [tex]\( l \)[/tex] by substituting [tex]\( w = 4.5 \)[/tex] into the second equation:
[tex]\[ l = 2(4.5) - 3 \][/tex]
[tex]\[ l = 9 - 3 \][/tex]
[tex]\[ l = 6 \][/tex]
A man rides a bicycle a distance of 48 miles in a certain amount of time. If the man increased his speed by 2 miles per hour, he reaches his destination four hours earlier. Find his usual speed. Show Work!
Answers
so, in his usual speed, say is hmm "r" mph, so in his usual "r" speed, he rolls on for the 48 miles and it takes him "t" hours to get there.
now, if he increases his speed by 2 mph, then his new speed is "r + 2", and he arrives there 4 hours earlier, so if he took "t" hours going at "r" speed, then when he's going faster at "r + 2", he only takes "t - 4" hours, for the same 48 miles.
[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{usual speed}&48&r&t\\ \textit{faster speed}&48&r+2&t-4 \end{array} \\\\\\ \begin{cases} 48=rt\implies \frac{48}{r}=\boxed{t}\\ 48=(r+2)(t-4)\\ ----------\\ 48=(r+2)\left( \boxed{\frac{48}{r}}-4 \right) \end{cases} \\\\\\ 48=(r+2)\left( \cfrac{48-4r}{r} \right)\implies 48r=(r+2)(48-4r) [/tex]
[tex]\bf 48r=48r-4r^2+96-8r\implies 0=-4r^2+96-8r \\\\\\ 4r^2+8r-96=0\implies r^2+2r-24=0 \\\\\\ (r+6)(r-4)=0\implies r= \begin{cases} -6\\ \boxed{4} \end{cases}[/tex]
it cannot be a negative value, since is just a forward speed rate, so can't be -6.
-6 ,4 but speed can't go negative so the answer would be 4.
The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.How many pounds of soil are needed for the garden?
Answers
so,for 12.9 square
2.6x12.9=33.54 pound of soils
1.For the function y = f(x), what is the ordered pair for the point on the graph when x = b - 2? (3 points)
a. (b - 2, f(b -2))
b. (x, f(b))
c. (x, b - 2)
d. (b - 2, f(b))
Answers
^^^^^^^^^^^
Answer:
A
Step-by-step explanation:
BIG BRAIN
A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?
Answers
Answer:
y - 9 = 22(x - 3)
Step-by-step explanation:
We _____ when calculating the average deviation, because the sum of all deviation scores around the mean equals zero.
Answers
We do not square the deviations when calculating the average deviation, because the sum of all deviation scores around the mean equals zero.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
The average deviation is calculated by taking the absolute value of the deviations from the mean, summing them, and then dividing by the total number of observations.
This gives us a measure of the average distance between each observation and the mean.
The formula for the average deviation is:
average deviation = Σ |x - mean| / n
where x is an observation, mean is the mean of the observations, and n is the total number of observations.
By taking the absolute value of the deviations, we ensure that negative and positive deviations do not cancel each other out when we sum them.
Thus,
We do not square the deviations when calculating the average deviation, because the sum of all deviation scores around the mean equals zero.
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Sweet T purchased a new pair of pants to wear to the battle of the bands on sale at 40 % off . He saved $20 . What was the regular price of the jeans ?
Answers
The answer is $50 because $20 is 40%, so times that by 2 which you get $20 and 80%. Then you divide 20 by 2 then you get 10 which is 20% so you add 10 and you get $50 which is 100%
What is the area of a triangle with vertices at (0, −2) , (8, −2) , and (9, 1) ? Enter your answer in the box
Answers
When we graph the vertices of the triangle on a graph, we see that the lowest points are at y=-2, and the highest point is at y=1. Therefore, our height is 3.
The base of the triangle goes from (0,-2) to (8,-2), which gives us a length of 8 for our base.
A=1/2*(8)*(3)
A=12
Answer:
12 square unit.
Step-by-step explanation:
Since, the area of a triangle having vertices [tex](x_1, y_1)[/tex], [tex](x_2, y_2)[/tex] and [tex](x_3, y_3)[/tex] is,
[tex]A=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
Here, the vertices of the triangle are (0, −2), (8, −2) and (9, 1),
Hence, area of the given triangle is,
[tex]A=\frac{1}{2}|0(-2-1)+8(1+2)+9(-2+2)|[/tex]
[tex]=\frac{1}{2}| 0+24+0|[/tex]
[tex]=\frac{24}{2}[/tex]
[tex]=12\text{ square unit}[/tex]
Find the value of k
given that the line through (−1, k)
and (−7,−2)
is parallel to the line y = x+1
.
Answers
1 = (-2 - k)/(-7 +1)
Now we'll solve to find k.
Firstly we'll multiple both sides by (-7 + 1):
1(-7 + 1) = (-2 - k)/(-7 +1)(-7 + 1)
-7 = -2 - k
Now we'll add 2 to both sides:
-7 + 2 = -2 - k + 2
-5 = -k
Now to get k by itself we must divide by negative one on both sides:
-5/(-1) = -k/(-1)
5 = k
Your answer is 5 = k
Given two lines are parallel, their slopes are equal. After calculating the slopes of the two lines and solving the equation, we find that the value of 'k' in the question is 4.
Explanation:In the realm of Mathematics, when two lines are parallel, their slopes are equal. The line y = x + 1 has a slope of 1. To find the slope of the line through (−7,−2) and (−1, k), use the formula for slope, which is m = (y2 - y1) / (x2 - x1). Here, (x1,y1) is (−7,−2) and (x2,y2) is (−1, k). Hence, the equation for slope would look like this: m = (k - (-2)) / (-1 - (-7)).
As the slopes are equal, we can form an equation 1 = (k + 2) / 6. Solving this equation will give us the value of k. By multiplying both sides by 6, we obtain 6 = k + 2. Consequently, subtracting 2 from both sides, we get k = 4.
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33 is 75% of what number?
Answers
33 = 0.75x
33 / 0.75 = x
44 = x <== so 33 is 75% of 44
Find the product (x-y) (3x-4y)
Answers
= x(3x - 4y) - y(3x - 4y)
= 3x^2 - 4xy - 3xy + 4y^2
= 3x^2 - 7xy + 4y^2
x(3x-4y)-y(3x-4y)
3x²-4xy-3xy+4y²
3x²-7xy+4y²
or
3x²+4y²-7xy
(-11/2x+3)-2(-11/4x-5/2)=expression in simplest form needed!!
Answers
= -11/2x + 3 + 11/2x + 5
= 8
answer
8
The given expression in its simplest form is 8.
The given expression is (-11x/2+3)-2(-11x/4-5/2).
We need to write the given expression in the simplest form.
What is an expression in its simplest form?A simplified expression is one in which each base is written only once, there are no negative exponents and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying expressions easier.
Now, the given expression can be simplified as follows:
(-11x/2+3)-2(-11x/4-5/2)
=-11x/2+3+22x/4+10/2
=-11x/2+22x/4+3+5
=-22x/4+22x/4+8
=8
Therefore, the given expression in its simplest form is 8.
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How do I work out 5x+2+3x
Answers
add same types of numbers
5x + 3x + 2
8x + 2
find x
8x + 2 = 0
8x + 2 (-2) = 0 (-2)
8x = -2
8x/8 = -2/8
x = -1/4
hope this helps
8x + 2
FINAL ANSWER: 8x + 2
You would add 5x and 3x because they are like terms. The 2 is just a regular number, it doesn’t have a variable along with it.
Question 21 the ratio of men to women working for a company is 2 to 3 . if there are 140 employees total, how many women work for the company?
Answers
So the equation is 2x + 3x = 140
5x = 140
x = 28
Men to Women is 2 to 3 so number of women = 3(28) = 84
An aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly 1 hour. Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour? Recall the formula d = rt. 0.75(x + y) = 120 x − y = 120 0.75(x − y)= 120 x + y = 120 120(x + y) = 0.75 120(x − y) = 1 120(x − y) = 0.75 120(x + y) = 1 Mark this and return
Answers
Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour?
---
With wind DATA:
distance = 120 miles ; time = (3/4)hr ; rate = 120/(3/4) = 160 mph
----
Against wind DATA:
distance = 120 miles ; time = 1 hr ; rate = 120 mph
-----
Equation::
Let p be speed of the plane in still air
Let w be speed of the wind
==================================
With wind:: p + w = 160 mph
Against wind:: p - w = 120 mph
================================
Answer:
System of equation: 0.75(x+y)=120 and x-y=120
A is correct
Step-by-step explanation:
An aircraft travels with the wind for 120 miles in 0.75 of an hour.
The return trip is flown against the wind and takes exactly 1 hour.
Let speed of aircraft be x mph and speed of wind y mph
Formula:
[tex]speed=\dfrac{Distance}{Time}[/tex]
Case 1: When aircraft along with wind
Speed = x+y
Time = 0.75
Distance = 120
[tex]x+y=\dfrac{120}{0.75}[/tex]
[tex]0.75(x+y)=120[/tex]
0.75(x+y)=120
Case 2: When aircraft against with wind
Speed = x-y
Time = 1
Distance = 120
[tex]x-y=\dfrac{120}{1}=120[/tex]
x-y=120
Hence, The system of equation are 0.75(x+y)=120 and x-y=120
Write an expression that is equivalent to 3/5 (3y+15)
3/5y +9, 3/5y+15, 9/5y+9, 9/5y + 15?
Answers
[tex] \frac{3}{5} (3y+15)[/tex]
The expression that is equivalent to the given expression is given by:
[tex]\frac{3}{5} (3y+15)= \frac{9}{5} y+ \frac{3}{5} (15)= \frac{9}{5} y+9[/tex]
you pay $14.82 for 1.5 pound of ham. you buy 2.25 pounds of roast beef for $12.40 per pound. How much less does ham cost per pound than roast beef?
Answers
Extra points! Write the equation for the vertical line that contains point E(10, –3).
A) y=(3/10)x-3
B) x=10
C) Other (please write the equation)
Answers
Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water. This rate is constant
Answers
The rate of using water per minute will be 8.5 gallons per minute.
What is the rate of flow?The rate of flow of water is defined as the amount of water or any liquid flowing in a unit of time. If the gallons of water are flowing in some minutes the rate will be measured in the gallons of water.
Given that Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water.
The rate of flow of water will be calculated as:-
Rate of flow = Volume of water / Time
Rate of flow = 17 / 2
Rate of flow = 8.5 gallons per minute
Therefore, the rate of using water per minute will be 8.5 gallons per minute.
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Samuel recorded the number of different types of pets his friends have in the table shown below: Cats 5 Dogs 3 Rabbits 1 Guinea Pigs 3
Answers
Answer:
Samuel's friends have a total of 12 pets.
Explanation:
To find the total number of pets Samuel's friends have, we simply add up the number of each type of pet:
Number of Cats: 5
Number of Dogs: 3
Number of Rabbits: 1
Number of Guinea Pigs: 3
Total number of pets = 5 (cats) + 3 (dogs) + 1 (rabbits) + 3 (guinea pigs) = 12
So, Samuel's friends have a total of 12 pets.
The standard error of the mean is calculated using which two quantities:
Answers
Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fire-formed crystal
Answers
Can someone please please help me.
Answers
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Label each row 1, 2, ..., all the way up to row 7. I'll refer to each statement and reason by the row number. For example, in row 2 we have "statement 2" and "reason 2". Statement 2 is already filled in for us while Reason 2 is blank.
Statement 1 has "CD perpendicular to AE". This is given to us to be true as shown in the "given" portion at the very top of the problem (just under the diagram).
What's also given to us is the fact that "line segment CD is parallel to line segment GH". So we'll write "given" for reason 2.
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Next up is reason 3, which is "definition of perpendicular". Why is this? Because the statement "angle ABD is a right angle" means angle ABD is 90 degrees. The term "perpendicular" means two lines or line segments or rays cross/meet at a 90 degree angle.
Now onto reason 5. Note how angle ABD and angle GEF are alternate exterior angles. They are outside of the train tracks (CD and GH) and lay on alternate sides of the line FA. Since CD is parallel to GH (see line 2), this means the alternate exterior angles are congruent. For reason 5, we'll put "alternate exterior angles theorem"
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Statement 7 is the the thing we want to prove. For any proof, the last statement is ALWAYS what you want to prove. If there's anything after this statement then we still have work to do and the proof isn't done. This is the last stop so to speak. So we simply write exactly what we want to prove (next to the "prove:" portion just below the diagram)
Reason 7 is "definition of perpendicular" because GEF is a right angle so GH is perpendicular to line FA. Like with reason 3, a 90 degree angle forms.
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Once again, check out the attached image to see all of the answers in the right spots.
Strawberry chews cost $0.03 more than lollipops. Sarah pays $0.54 for 2 strawberry chews and 4 lollipops. What is the price of a strawberry chew?
Answers
l = lollipop
s = strawberry chew
[tex] \left \{ {{4l + 2s = 0.54} \atop {s = l + 0.03}} \right. [/tex]
So first of all, let me explain these equations.
4l + 2s = 0.54 means that 4 lollipops and 2 strawberry chews cost $0.54
s = l + 0.03 means a lollipop plus 0.03 equals the cost of a strawberry chew.
Now, let's solve for s.
4l + 2s = 0.54
Subtract 4l from boths sides.
2s = 0.54 - 4l
Divide by 2 on both sides.
s = -2l + 0.27
Substitute.
-2l + 0.27 = l + 0.03
Subtract l from both sides.
-3l + 0.27 = 0.03
Subtract 0.27 from both sides.
-3l = -0.24
Divide by -3 on both sides.
l = .08
.08 + .03 = .11
A strawberry chew costs $0.11
Solve the inequality
-8x - 10 > 7x + 20
A.) x < - 30
B.) x > - 2
C.) x > - 30
D.) x < - 2
Answers
To solve the inequality -8x - 10 > 7x + 20, combine like terms, isolate the variable term, and solve for x. The correct answer is D) x < -2.
Explanation:We need to solve the inequality -8x - 10 > 7x + 20.
First, let's combine like terms by adding 8x to both sides. This gives us -10 > 15x + 20. Next, subtract 20 from both sides to isolate the variable term. This gives us -30 > 15x. Finally, divide both sides by 15 to solve for x. This gives us x < -2.Therefore, option D.) x < -2 is the correct answer.
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The container that holds the water for the football team is 7/10 full. after pouring out 3 gallons of water, it is 1/2 full. how many gallons can the container hold?
Answers
So you figure that 7/10-5/10=2/10 that leave you with 1/5 left over. So if you take that into effect, all you have to do it multiply those 3 gallons by 5. Which gives you 15. So, your answer would be 15 gallons.
I hope this helped!
I am, yours most sincerely
SuperHelperThingy