Use the Segment Addition Postulate to solve the problem below.
Point E is the midpoint of line segment YT.
line segment YT = 14
line segment YE = 3x + 1
What is the value of x?
Answers
Given that Point E is the midpoint of line segment YT, the numerical value of x is 2.
What is the numerical value of x?A midpoint is simply a point that divides a segment into two equal halves.
Given the data in the question;
Point E is the midpoint of line segment YTLine segment YT = 14Line segment YE = 3x + 1Numerical value of x = ?Point E is the midpoint of line segment YT, YT is divided into two equal halves. Hence, Two times Line segment YE equals to YT.
2( Line segment YE ) = Line segment YT
Plug in the given values and solve for x.
2( Line segment YE ) = Line segment YT
2( 3x + 1 ) = 14
Expand using distributive property
2 × 3x + 2 × 1 = 14
6x + 2 = 14
Collect like terms
6x = 14 - 2
6x = 12
6x/6 = 12/6
x = 12/6
x = 2
Given that Point E is the midpoint of line segment YT, the numerical value of x is 2.
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Related Questions
The sum of three consecutive integers is -27. Find the value of the middle of the
three.
Answers
Solving the Question
Let the middle integer be x.
We're given:
[tex](x-1) + x + (x+1) = -27[/tex]Solve for x.[tex](x-1) + x + (x+1) = -27[/tex]
Open up the brackets:
[tex]x-1 + x + x+1 = -27[/tex]
Combine like terms:
[tex]3x = -27[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} = \dfrac{-27}{3}[/tex]
[tex]x=-9[/tex]
AnswerThe value of the middle integer is -9.
Write a decimal addition
problem that has an estimated sum
of 35.
Answers
Hope this helped
Consider the polynomial function
p(x) = -9x⁹ + 6x6 - 3x³ +1.
End behavior of polynomials
What is the end behavior of the graph of p?
Answers
p has an odd degree and an odd leading coefficient.
So,
As x approaches infinity, p(x) approaches negative infinity.As x approaches negative infinity, p(x) approaches infinity.Randy Johnson, a hall-of-fame baseball pitcher, could throw a baseball 100 miles per hour. How fast could he
throw the baseball in feet per second? Show the work that leads to your answer. (HINT: There are 5,280 feet
in a mile.)
Answer:
Answers
Answer:
I believe its 0.681818 feet per second.
Line pq is represented by the equation y=-x+2 determine the equation, in slope-intercept form, of the line zw that is perpendicular to line pq and passes through the point z (11,11)
Answers
The equation, in slope-intercept form, of the line zw is y = x.
It is given that, equation of the line pq is:-
y = -x + 2
Also, line pq is perpendicular to line zw
zw passes through the point z (11,11).
We have to find the equation, in slope-intercept form, of the line zw.
The slope intercept form of a line is:-
y = mx + b
Where,
m represents slope of the line,
(x,y) represents every point on the line
b represents the y-intercept of the line
We know that, when two lines are perpendicular, the product of slopes of the lines is -1.
Let the slope of the line zw be m.
Hence,
m*(-1) = -1
m = 1
As it passes from the point z(11,11).
Hence, we can write,
11 = 1(11) + b
11 = 11 + b
b = 0
Hence, the slope intercept form of the line zw is y = x .
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Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? (5 points) negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answers
Answer:
D. Negative 1 over 12
Step-by-step explanation:
-1/3*1/4=-1/12
Hope this helps!
Please mark as brainliest if correct!
Answer:
-1/12, so D.
Step-by-step explanation:
-1/3(1/4)
-1/12
Please give brainliest, lol.
does pie ever end?
the question is the 3.14 i know the answer i just want to see if you get it right
Answers
Answer:3.141598
Step-by-step explanation: that is all I can remember on the top of my head
There were 127 birds on the endangered species list in some year. This is more than twice the number of reptiles on the list. How many reptiles were on the endangered species list in this year?
Answers
r = number of reptiles on the endangered species list
2r = twice that number
2r < 127 since the 127 is more than twice the number of reptiles
Solve for r by dividing both sides by 2
2r < 127
r < 127/2
r < 63.5
If r is a positive whole number, then r could be anything from this set: {1, 2, 3, ..., 62, 63}
Unfortunately there isn't enough information to fully pin down what r is.
I would ask your teacher for further clarification.
Ensuring that data is collected the same way each time it is collected is an example of:_______.
Answers
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
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21
Starting with the letter A and counting left
to right,
B
C
I
J
P Q
write the fifth letter
write the eighth letter
write the third letter
A
H
O
D
K
E
L
RS
CND
G
F
M
T U
Answers
Answer:
fifth letter: E
eighth letter: H
third letter: C
Im not sure
Given that 2x+11y=119, work out the value of x and y. PLEASE HELP if possible add how to calculate it as well
Answers
a spinner has 20 equally sized sections, 16 of which are yellow and 4 of which are blue. the spinner spun and at the same time and fair coun is tossed what is the probability that the spinner lands on blue and the coin toss is tails
Answers
Answer:
I don't know how it works
ways to show 2 times 43 times 19
Answers
2 * 43 * 19 = 1634
(2)(43)(19) = 1634
(2)(43 * 19) = 1634
(2 * 43)(19) = 1634
(2 * 19)(43) = 1634
And so forth and so forth. You can keep showing different ways of multiplying this problem by using the association and communicative properties of multiplication.
Cheers
solve: 5-3|2x-5| ≤-1
Answers
Answer:
[tex] \sf \large \: x≥ \frac{7}{2} or x≤ \frac{3}{2}[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
5−3(|2x−5|)≤−1
−3(|2x−5|)+5≤−1
Step 1: Add -5 to both sides.
−3(|2x−5|)+5+−5≤−1+−5
−3(|2x−5|)≤−6
Step 2: Divide both sides by -3.
−3(|2x−5|)/−3 ≤ −6/−3
|2x−5|≥2
Step 3: Solve Absolute Value.
|2x−5|≥2
We know either2x−5≥2or2x−5≤−2
2x−5≥2(Possibility 1)
2x−5+5≥2+5(Add 5 to both sides)
2x≥7
2x/2 ≥ 7/2
(Divide both sides by 2)
x≥7/2
2x−5≤−2(Possibility 2)
2x−5+5≤−2+5(Add 5 to both sides)
2x≤3
2x/2 ≤ 3/2
(Divide both sides by 2)
x≤ 3/2
Name the angle in as many different ways as possible.
Answers
Answer:
no sé
Step-by-step explanation:
los tipos que hay según la suma y la posición en la que quedan colocados.Teresa made a circular plywood cover bigger than the mouth of the mixing bowl. it is 20 cm in diameter. but in using the mixer, the cover must have a hole in the middle to insert the mixing tool. if the hole is 10 cm in diameter, what is the final area of the mixer cover?
Answers
The final area of the mixer cover is 1650/7 square cm.
Given that:-
Diameter of circular plywood cover = 20cm
Diameter of circular hole in the middle = 10cm
We have to find the final area of the mixer cover after cutting the hole in the middle.
We can find the radius of the circular cover and the circular hole using their respective diameters.
Hence,
Radius of circular plywood cover = 20/2 = 10 cm
Radius of circular plywood cover = 10/2 = 5 cm
We know that,
Area of circle = [tex]\pi r^2[/tex]
Hence,
Area of circular plywood cover = [tex]\frac{22}{7}*(10)^2 =\frac{2200}{7}[/tex]
Area of circular hole = [tex]\frac{22}{7}*(5)^2 =\frac{550}{7}[/tex]
Final area = Area of circular plywood cover - Area of circular hole
Final area = (2200/7) - (550/7) = 1650/7 square cm.
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Prism L has length 8 cm.
Prism M has length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
Answers
The volume of prism L is 750 cm³
What is a prism?A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.
The formula for the volume of a prism is V=Bh,
where B = base area and h = height.
We have,
Two similar prism
Prism L:
Length = 8 cm
Prism M:
Length = 20 cm
Volume = 1875 cm³
Applying the volume formula:
V = Bh
Base area = Length x width
1875 = Length x width x height
1875 = 20 x width x height
Width x height = 1875 / 20 = 93.75 _______(1)
Since prisms are similar we can use (1) in finding the Volume of prism L.
The volume of prism L:
= Length x width x height
= 8 x 93.75
= 750
Thus the volume of prism L is 750 cm³
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The complete question is:
L and M are two mathematically similar prisms.
Prism L has a length 8 cm.
Prism M has a length 20 cm.
Prism M has a volume of 1875 cm3
Work out the volume of prism L.
What is the degree of x^2+3x+y?
Answers
Answer: 2
Step-by-step explanation:
as x is to a power of 2 so degree is 2
pls vote for brainliest
Does the ordered pair (3, 5) make the inequality x−3>2y true or false?
Answers
Answer:
Step-by-step explanation:
first let : x = 3 and y = 5
so x-3 means 3-3 = 0
and 2y means 2 * 3 = 6
therfore x-3 > 2y means 0 > 6, false
On an average-sized plane with 152 passengers on board, 27 vegetarian dishes are ordered. The largest type of airliner generally holds 500 people. How many vegetarian dishes are needed there?
Answers
89 vegetarian dishes
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Using unitary method,
152 passengers are served with = 27 dishes
1 passengers are served with = 27/152
500 passengers are served with = 27 x 500 / 152
= 88. 81
≈ 89 vegetarian dishes
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Which number is greater,
23
×
10
3
or
11
×
10
4
? How do you know? Show your work and explain your steps.
Answers
Answer:
A. 23×10^3
B. 11×10^4
Your answer would be B, 11x10^4.
Step-by-step explanation:
To find your answer you can evaluate each equation and compare your answers.
A:
10^3 = 1,000
23•1,000 = 23,000
B:
10^4 = 10,000
11•10,000 = 110,000
End Result:
110,000 > 23,000
Therefore your answer would be choice B.
Have a great rest of your day.
From the one and only,
Mr. Universe
Answer:
A:
10^3 = 1,000
23•1,000 = 23,000
10^4 = 10,000
11•10,000 = 110,000
110,000 > 23,000
Play equation 19+0.15p= c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. use the equation and a table to find the weight of an appliance that cost $37 to deliver.
The appliance weighs ?? pounds.
Answers
37-19=18
18/.15=120
5. Which value of a satisfies this equation? x + 7 = 28
A) x = 35
B) x = 21
C) x=4
D)x = 14
Answers
Answer:
21
Step-by-step explanation:
Subtract 7 from both sides to get the answer.
Which of these choices are square roots of 100? chewhich of these choices are square roots of 100? check all that apply. ck all that apply. 100^1/2 10 -10 50 -50 -100^1/2 pleaseeeee
Answers
Reason
10x10 = 100
-10 x -10 = 100
A survey was recently qupted to support the news that the number of trees in the untied states is increasing?
Answers
A recent survey that was quoted to support the news that the number of trees in the united states is increasing is a self-interest study.
From the additional research, it was found that a logging company fully funded the survey. Self-interest studies are referred to as action that stimulates personal benefits, it helps the sponsor enjoy economic or other gains from the outcomes. A logging company that fells trees and timber so, they are more interested in the number of trees, even they have an interest in directing the people of a country that depleted numbers of trees are not being by their efforts in logging. So performing such kind of survey is own self-interest.
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please answer with steps
txt: identify the domain and range of the following relation and determine if the relation is a function. Explain why or why not.
Answers
We need to know about relation and function to solve the problem. The domain of the relation is {-4,2,7,10} and the range is {-4}. The relation is a function.
Relation is a subset of Cartesian product or we can say that it is a set of points. It can also be described as a collection of ordered pairs.Function is a relation which follows that each input should have only one output. The domain of a relation or function is the set of values that the relation can accept, the range of a relation is the set of values that can be an output of the function or relation. The x values are the inputs and form the domain whereas the y values give the range. In the given relation the domain of the relation is {-4,2,7,10} and the range of the relation is {-4} since there is only one ouput value. The relation is a function since every input has only one output.
Therefore the domain of the relation is {-4,2,7,10} and the range is {-4} and the relation is function.
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A plane is flying at a speed of 150 miles per hour. The pilot plans to fly at this speed for
the next 160 miles, plus or minus 25 miles. Write an absolute value equation to find the
minimum and maximum number of hours the plane will travel at that speed.
Answers
Maximum time = 0.914 hour , Minimum time = 1.28 hour
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.
Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X time equals distance, and
Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.
Distance = speed x time
Maximum speed = 150 +25
= 175 miles/ hour
Minimum speed = 150 - 25
= 125
Distance = 160 miles
Maximum time = 160/175
= 0.914 hour
Minimum time = 160/125
= 1.28 hour
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helppppspsosoosooooooooppo please I need to finish thsi
Answers
Answer:
The answer is correct.
Step-by-step explanation:
Negative means Below
Positive means above
7 gifts are to be distributed among 10 children. how many distinct results are possible if no child is to receive more than 1 gift?
Answers
10C3 = 10*9*8 / 3*2*1
= 120
Using the section of the graph shown, which of
these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40
Answers
Step-by-step explanation:
STEP1:Equation at the end of step 1
(((2 • (x3)) + 32x2) - 6x) - 40
STEP 2 :
Equation at the end of step2:
((2x3 + 32x2) - 6x) - 40
STEP3:Checking for a perfect cube
3.1 2x3+9x2-6x-40 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3+9x2-6x-40
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x-40
Group 2: 2x3+9x2
Pull out from each group separately :
Group 1: (3x+20) • (-2)
Group 2: (2x+9) • (x2)
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