The answer is 14.
First, we need to find X using the first statement.
X + 9 = 11X = 11 - 9X = 2Now, we have to substitute this in the required expression.
7X7(2)14For number 9 and 10 what do I put for the distance between the points?
Answer:
I have wrote just answers
What type of line is PQ¯¯¯¯¯¯¯¯?
A. altitude
B. median
C. side bisector
D. angle bisector
The line PQ is altitude of the triangle. This can be obtained by understanding what an altitude is.
What is altitude of a triangle?Altitude of a triangle: the perpendicular drawn from the vertex of the triangle to the opposite side.Commonly known as height of the triangle.Properties of altitude of a triangle:
A triangle has 3 altitudes from the three vertices of the triangle.The 3 altitudes intersect at a point known as the orthocenter of the triangleThe altitude of the triangle is the shortest distance from the vertex to the opposite side.In the given triangle,
it is clear that angle Q is 90° and therefore PQ is a perpendicular line from the point P.
Since the perpendicular line, which is PQ, is drawn from the vertex, which is P of the triangle to the opposite side, which is SR.
Thus PQ is the altitude of the triangle.
Hence in the given figure, the line PQ is the altitude of the triangle.
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If m/FCD = x + 48, m/BCD = x + 17, and m/BCD = 95°, then find the value of x.
The value of x is 78
Solving equivalent equations
Given:
[tex]\frac{m}{FCD}=x+48\\\\ \frac{m}{BCD} =x+17\\\\\frac{m}{BCD} =95^0[/tex]
From the given equations, two of them are exactly equivalent
The equivalent equations are compared below
x + 17 = 95
x = 95 - 17
x = 78
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You reported to work one day and found out that the staffs are on strike over non payment of the previous year's bonus. Placards indicted the human resources director on this. Management is so worried about this situation and has asked you as the director of public relations to come out with a comprehensive report on the matter. What steps would you consider to undertake this assignment?
As the person that is in charge of public relations the steps that you would take to deal with the issue on ground would be:
Identify what the issue is.Set a priority based on the issueGet you position on the issueGet a way to respondTake actionMonitor the situationWhat is public relations?This is the term that is concerned with the part of management that is concerned with the maintenance of a positive image for an organization.
The director has to take proactive steps in order to take care of the issue in a timely and good manner.
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The set of all three-digit binary numbers
The set of all three-digit binary numbers as required in the task content includes; 100,101,110,111.
What is the set of all three-digit binary numbers?A binary number by definition is one which is made of a combination of numbers 0 and 1.
On this note, it follows that the three digits binary numbers in discuss include; 100,101,110,111.
Binary numbers are most often used in computer programs to represent data.
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In the following month 10 percent savings on other cost are expected
which of the following best describes the graph below?
Answer:
I think it's B
Step-by-step explanation:
because it's a function,it's 5 to 4 not one to one
You want to put in a new concrete patio behind your house. You want it to be 12 ft wide by 14 ft long and it needs to be eight inches thick. You know that an 80 lb. bag of concrete yields 0.60 cubic feet. How many 80 lb. bags of concrete will you need for your patio?
Answer:
You will need 187 80 pounds bags of concrete.
Step-by-step explanation:
12x14x(2/3) x 0.6 = 186.666 or 187
If n is at least 7, which inequality best represents the values of n?
n > 7
n < 7
n ≥ 7
n ≤ 7
Answer:
The answer to your question is C.n ≥ 7
Step-by-step explanation:
I hope this helps and have a good day!
sandy uses 41 round beads to make some triangles. how many triangles did she make.
Answer:
3
Step-by-step explanation:
Numbers of beads used in making triangles:
3, 6, 10, 15, 21, 28, 36, ...
We need to pick a few numbers from those above that add to 41.
3 + 10 + 28 = 41
Answer: 3 triangles
in circle V, r=14. What is the area of circle V
Answer:
[tex]\pi[/tex][tex]14^{2}[/tex] or [tex]\pi 196\\[/tex]
Step-by-step explanation:
The circle V has the radius of 14 (r=14)
The formula of area is (A=[tex]\pi r^{2}[/tex])
So we insert the value of (r=14)
[tex]A=\pi 14^2[/tex]
[tex]A=\pi 196[/tex]
And that's the answer, The exact value is 615.752...
Answer: 196 pi
Step-by-step explanation:
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 36 and 56?
The approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 5.
Hence, Mean,μ=46 and Standard deviation,σ=5.
To find the probability of daily phone calls numbering between 36 and 56,
P(36≤X≤56)
To convert the X score to Z score, use the formula, Z=(X-μ)/σ
Then we get,
P((36-46)/5 ≤ Z ≤ (56-46)/5) = P(-2 ≤ Z ≤ 2)
By using the property of the normal bell curve, we get
P(-2 ≤ Z ≤ 2) = P(2 ≤ Z) - P(-2 ≤ Z)
As per the normal distribution table,
P(2 ≤ Z) - P(-2 ≤ Z) = 0.9772-0.0228
∴ P(36≤X≤56) = 0.9544
Hence, the approximate percentage of daily phone calls numbering between 36 and 56 by the receptionists is 95.44%.
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Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…
The sum of the first five terms is 11/2
How to determine the sum?The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
[tex]S_n = a\frac{1 - r^n}{1 - r}[/tex]
This gives
[tex]S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}[/tex]
Evaluate
[tex]S_n = \frac{1}{2} * \frac{33)}{3}[/tex]
Evaluate
[tex]S_n =\frac{11}{2}[/tex]
Hence, the sum of the first five terms is 11/2
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Someone please help me with this geometry question!
Answer: SAS
Step-by-step explanation:
There are two pairs of congruent angles and the pair of angles formed by these sides are congruent.
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
In the given figure, one angle and two adjacent sides of Triangle AFB is equal to corresponding angle and sides of the Triangle DFC.
So, we can conclude that,
Triangle AFB and Triangle DFC are congruent by :
SAS congruency criteria[tex] \qquad \large \sf {Conclusion} : [/tex]
A. SASI NEED THIS REALLY FAST!!!a brave knight traveled on his horse from one kingdom to another in 2 days the first day he rode at a speed of 10 mph and the second day he rode at a speed of 8 mph if he traveled exactly the same amount of time each day and went 180 miles find how many hors it took the knight to travel from one kingdom to another
Answer:
10 hours
Step-by-step explanation:
The rate x time of the first day + the rate x time of the second day equal the distance of 180 miles.
Let t = time
10t + 8t = 180
18t = 180
t = 10
Write the equation of the line of best fit using the slope-intercept formula y=mx+b. Show all your work, including the points used to determine the slope and how the equation was determined.
The equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5
Equation of the line of best fitA line is the shortest distance between two points. The equation in point-slope form is expressed as:
y =. mx + b
m is the slope
b is the y intercept
Using the coordinate points (25, 20) and (60, 55)
Slope = 55-20/60-25
Slope = 35/35
Slope = 1
For the intercept
20 = 1(25) + b
b = 20 - 25
b = -5
Substitute
y = x + (-5)
y = x - 5
Hence the equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5
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10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined
them. After how many days was the whole job done?
A. 8days
B. 12days
C. 16days
D. 18days
Answer:
C. 16 days
Step-by-step explanation:
Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.
If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.
2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.
4 more workers join to complete the job, so we now do 12 work each day.
150 - 54 = 96
96 work is left to do, which would be done in 8 days by 12 workers.
8 days + 8 days = 16 days
Which of the following is most likely the next step in the series
Answer:
A
Step-by-step explanation:
The pattern is quadrilateral (4-gon), pentagon (5-gon), and hexagon (6-gon). Therefore the next figure would be a heptagon (7-gon).
Which parent function is represented by the graph?
Answer:
Absolute value parent function
Explanation:
What is an Absolute value function?
It is a function in Algebra in where the variable is inside the absolute value bars (| |)
f(x)=|x|
y=x on the right side and y=-x on the left side of the graph
Hope it helps!
A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
Find t and the terminal point determined by t for each point in the figure, where t is increasing in increments of /4.
The missing coordinates are listed below:
(x₁, y₁) = (0, 1)(x₂, y₂) = (- √2 /2, √2 /2)(x₃, y₃) = (- 1, 0)(x₄, y₄) = (- √2 /2, - √2 /2)(x₅, y₅) = (0, - 1)(x₆, y₆) = (- √2 /2, √2 /2)(x₇, y₇) = (1, 0)How to determine the location a terminal point in a unit circleAccording to the polar coordinate system, a vector in standard position is defined by this parametric formula:
(x, y) = (r · cos t, r · sin t), where t is in radians.
If we assume that r = 1, then we proceed to determine the location of the seven points remaining:
(x₁, y₁) = (cos π/2, sin π/2)
(x₁, y₁) = (0, 1)
(x₂, y₂) = (cos 3π/4, sin 3π/4)
(x₂, y₂) = (- √2 /2, √2 /2)
(x₃, y₃) = (cos π, sin π)
(x₃, y₃) = (- 1, 0)
(x₄, y₄) = (cos 5π/4, sin 5π/4)
(x₄, y₄) = (- √2 /2, - √2 /2)
(x₅, y₅) = (cos 3π/2, sin 3π/2)
(x₅, y₅) = (0, - 1)
(x₆, y₆) = (cos 7π/4, sin 7π/4)
(x₆, y₆) = (- √2 /2, √2 /2)
(x₇, y₇) = (cos 2π, sin 2π)
(x₇, y₇) = (1, 0)
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(1/2)(-27Divided by 1/3) 2/3
The value of the quotient is - 27
How to determine the quotientTo determine the quotient, first, we have
(1/2)(-27Divided by 1/3) 2/3
[tex] \frac{1}{2} \times \frac{ - 27 \times 3}{1} \times \frac{2}{3} [/tex]Multiply the numerator and denominator
=
[tex] \frac{ - 162}{6} [/tex]
Then divide the numerator by the denominator, we get
= - 27
Thus, the value of the quotient is - 27
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14) Noah needs a car to get to his new job each day. He figures he can afford to pay $120 each month. Since he
is not looking at a new car, his bank will only give him a 4-year loan at 9.20 percent interest. Given these
parameters, what is the most Noah can borrow? Give answer to nearest hundred dollars.
O a.) $4600
Ob.) $4800
Oc.) $4900
O d.) $5000
Answer: $4600
Step-by-step explanation:
29) Selecting a blue marble, a white marble, and then a red marble.
O a.) 4/19
Ob.) 4/91
Oc.) 3/19
Od.) 7/91
Answer:
4/91
Step-by-step explanation:
There are a total of 15 marbles. In the first selection there are 15 marbles and 6 are blue. That would be 6/15.
Since we are not replacing marbles, we now have 14 marbles and we want to select one of the 5 white marbles. That would be 5/14.
Lastly we now only have 13 marbles and of those we want to select one of the 4 red ones. That would be 4/13.
Now we take these 3 fractions and multiply them together.
6/15(5/14)(4/13). I am going to try to make this a little easier and see if I can find any factors that any top number shares with any bottom number.
I see 5 on the top shares a common factor with 15 on the bottom. I will divide these numbers by 3, so now I have
6/3(1/14)(4/14). I think that I can do better than that. I see that 6 on the top and 3 on the bottom share a common factor of 3. I will divide both of these numbers by 3. Which will give me:
2/1(1/14)(4/13) I see a 4 on top and a 14 on the bottom. Those are both divisible by 2 so, I will divided them both by 2 and that leaves me with
2/1(1/7)(2/13) That is a lot easier, now I will just multiple the top numbers and multiply the bottom numbers to get
4/91
Is the answer e? I think it is
Answer: I am pretty sure you are correct from my standpoint
Step-by-step explanation:
If you look closely he is pretty close to the answer or it is the answer or this is just answer on my point or if its wrong try b
It took 8 hours for 5 men to build a storeroom. How many hours will it take 12 men to build a similar storeroom if they work at the same rate?
Answer:
7.5. hours
Step-by-step explanation:
Trust me
12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that it took 8 hours for 5 men to build a storeroom. The time required by 12 men to do the same work will be calculated as below:-
Time taken by one man = 8 x 5 = 40 hours
Time is taken by 12 men will be = 40 / 12 = 3.34 hours
Therefore, 12 men will take 3.34 hours to build a similar storeroom if they work at the same rate.
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Graph the solution of the system of linear inequalities.
y + 2x ≥0
3x-2y≤6
Step-by-step explanation:
all the details are in the attachment; the solution are is filled with purple color.
Evaluate:
(3,251)(30)
Answer: 97350
Step-by-step explanation:
The numbers (3251)(30) are separated by using parentheses by multiplying the numbers we get 97350.
What is multiplication?
When we notice two or more numbers together that exist divided by parentheses, then the parentheses exist pointing us to multiply. In math, multiplying indicates adding equivalent groups. When we multiply, the number of things in the group rises. The two elements and the product exist as regions of a multiplication problem.
Given: (3251)(30)
Here, the numbers are separated by using parentheses, then the parentheses exist pointing us to multiply.
Therefore, by multiplying the numbers we get
(3,251)(30) = 97350
Therefore, the correct answer is 97350.
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how to be smart
please help
Please someone help me!
If the red lines are medians, and segment AE=33 would be the length of the segment AO?
22
bc I know that is 22 so just put that