Answers
From the line bisected with the given midpoints, we have been able to prove that; BC = CE by substitution property of Equality
How to prove bisection of a Line?We are given that;
C is the midpoint of BD
D is the midpoint of CE
1) Thus, BC = CD because of definition of Midpoint.
2) Similarly, by definition of midpoint we know that CD = DE.
3) We can say that BC = DE because of substitution property of equality.
4) We can say that BC + CD = BD because of segment addition postulate.
5) Similarly, by segment addition postulate, we can say that CD + DE = CE.
6) Finally we can say that BC = CE by substitution property of Equality
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Related Questions
Please help !! I can’t find the answer
Answers
In the problem, the number is:
3.85663
I’ll tell you the places:
3 is the ones place. Then there’s the decimal, now we’re adding “th.” After the decimal is 8, the tenths place. After that is 5, the hundredths place. Then it’s 6, the thousandths place. Then another 6, ten thousandths place. And last, 3, the hundred thousandths place.
It’s just like the places you learned in elementary school, but backwards and with “th” added, also no “oneths place,” that just sounds weird.
And you should know how to round, but if you don’t, you simply just look at the next number after the number you’re rounding. If the number is greater than 5, round up, if less, round down. And 5 is rounded up in most cases. So here, the number after the hundredths place is 6, so we round the hundredths place up, 5 to 6.
Last year, Ivan opened an investment account with 8600. At the end of the year, the amount in the account has decreased by 6%
Answers
- 6 ÷ 100 × 8,600 =
- 6 × 8,600 ÷ 100 =
- 51,600 ÷ 100 =
- 516
Which verbal expression best represents the equation 2(n - 7) = -14
Answers
Answer:
See below
Step-by-step explanation:
You could say "2 times the difference between n and 7 is equal to -14"
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9m/2 . If the acceleration of the object becomes ms/2, what is the force?
Answers
If the acceleration of the object becomes 3 m/s^2, the force is equal to 27 Newton.
What is a direct proportion?Mathematically, a direct proportion can be represented the following mathematical expression:
y = kx
Where:
y represents the force.x represents the acceleration.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 81/9
Constant of proportionality (k) = 9.
For the force when the acceleration of the object becomes 3 m/s^2, we have:
y = kx
y = 9(3)
y = 27 Newton.
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Complete Question:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9 m/s^2. If the acceleration of the object becomes 3 m/s^2, what is the force?
Joe needs to transfer 28 quarts of oil into one-gallon containers. Joe calculated that he needs 112 containers, but he made a mistake in his calculations. Identify and correct his error.
28 quarts times 4 quarts over 1 gallon = 28 over 1 quarts times 4 quarts over 1 gallon, = 28 times 4 over 1 times 1 gallons = 112 gallons.
Skip to navigation
Answers
Joe made a mistake in his calculations by multiplying 28 quarts by 4.
How to illustrate the word problem?To know the mistake that Joe made and the possible correction, we shall convert 28 quart to gallon.
Recall that 4 quart = 1 gallon
Therefore, 28 quart will be:
= 28 quart × 1 gallon / 4 quart
28 quart = 7 gallon
Therefore, 28 quarts is equivalent to 7 gallons.
Hence, Joe made a mistake in his calculations by multiplying 28 quarts by 4 instead of dividing 28 quart by 4.
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The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Answers
x2 = 3/5, x1 = 9/4, and x3 = 2/3 of the row-echelon form of the augmented matrix are the answers to the equations.
what is unitary method ?The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)
given
Replace the variable in the equation with the given integer.
Check to see if the resulting equation is correct. The number is not a solution if it is false.
x2 = 3/5, x1 = 9/4, and x3 = 2/3 of the row-echelon form of the augmented matrix are the answers to the equations.
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Use the graph to evaluate the function below for specific inputs and outputs.
Answers
Inputs and outputs are 3,-2.One point can be used to represent each set of input and output values on a graph.
Inputs and outputs are graphical in what way?One point can be used to represent each set of input and output values on a graph. The vertical axis is used to measure output values, whereas the horizontal axis is used to measure input values. On each axis, a scale that is consistent and can hold all the necessary points is drawn.
The C language provides input and output functions for carrying out the most typical operations. Three fundamental tasks are performed in every C program: taking input data, processing that data, and producing output. Data that is accepted is considered input, and data that is presented is considered output.
According to question:-
At x=-4, g(x) equals 6.
g(x)= -2 x=3
kindly examine the g(x) graph.
the value of y is equal to 6 for x=-4.
with x = 3, the value of y Equals -2.
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Serena is cycling from dance class to her home. The equation shows Serena's distance (y), in miles, from her home after x minutes:
y = 16 − 6x
What does the number 16 in the equation represent? (1 point)
a
Serena's distance from home when she begins cycling
b
Serena's distance from the dance class when she begins cycling
c
The speed at which Serena is cycling from the dance class to her home
d
The rate of change of Serena's speed while cycling from the dance class to her home
Answers
In linear equation, 16 is represent The speed at which Serena is cycling from the dance class to her home
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6x + y = 16
6x = 16 - y
x = 8/3 - y/6
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Here are the weights (in pounds) of a sample of 13 male eleventh graders.
148, 140, 159, 141, 151, 156, 173, 167, 160, 159, 146, 174, 170
Send data to calculator
Find the median weight of these students.
pounds?
Answers
Answer:
159
Step-by-step explanation:
Median = When ordered least to greatest, the number in the middle
140, 141, 146, 148, 151, 156, 159, 159, 160, 167, 170, 173, 174
Rose had 10 cookies she gave away 5 cookies to her friends she baked 20 more how many cookies does rose to have in all?
Answers
Answer: 25
Step-by-step explanation:
simple math
Answer:
25 cookies
Step-by-step explanation:
After she gives away 5 of her 10 cookies she is left with 5 cookies. Then she bakes 20 more. So you add 5 cookies to 20 cookies, and you get 25 cookies.
Or in total with all of the cookies she had before she gave away 5 of the 10, and the newly baked 20 cookies she has 30 cookies.
-Hope this helped
Sketch the graph of h(x) = g (x+3) -6
Answers
Therefore , the solution of the given problem of graph comes out to be
x = 0 , y =22 and x= 1 , y=23.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
Here,
Given :
=> h(x) = g(x+3) - 6
g(x) = x+ 25
So,
=> g(x+3) = x +3 + 25 = x+28
and
=> h(x) = x + 28 -6
=>y= h(x) = x+ 22
Thus,
y= x+22
the points which can be graph area:
=> x = 0 , y =22
=> x= 1 , y=23
Therefore , the solution of the given problem of graph comes out to be
x = 0 , y =22 and x= 1 , y=23.
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brooke has a square yard with grass and gravel parts as shown. The perimeter of the part covered in gravel is 22 meters. what is the area of the grass section of Brookes yard
Answers
Brooke's yard is a square with a side length of 22 meters.
What is perimeter?Perimeter is the total distance around the outside edge of a two-dimensional shape. Perimeter is a measure of the length of the boundary of a shape and is typically expressed in units of length, such as feet or meters. Calculating the perimeter of a shape can help you measure the size of a yard, garden, or other outdoor area.
Since the perimeter of the part covered in gravel is 22 meters, we can use the formula for the perimeter of a square (4s) to find the length of one side of the square. Therefore, the side length of the part covered in grass is 4s = 22, or s = 5.5 meters.
Using the formula for the area of a square (A = s²), we can calculate the area of the grass section of Brooke's yard. The area of the grass section of Brooke's yard is A = s²= 5.5²= 30.25 square meters.
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Luis gana actualmente 12000 pesos mensuales cuánto ganaría si su salario incrementa 14%
Answers
Luis genera $13680 al mess, sir se incremental un 14% ell valor de sub seldom actual.
What is Luis grana accumulate incremental ?De actedron con las condictiones dadas, planter=12000*(14% + 1)
Calculary loss dos primero's terminus =12000*1.14
Calculary loss dos primero's terminus =13680
get the result=13680
Explication paso a paso:
multiplicate ell 14% de 12.000= 1.680
le sulfas ese 1.680 a 12.000 y tee da ell resulted de 13.680
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In ΔXYZ, x = 830 cm,
m
m∠Y=141° and
m
m∠Z=25°. Find the length of z, to the nearest 10th of a centimeter.
Answers
=======================================================
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
-----------
Now use the law of sines to determine side length z.
Make sure your calculator is in degree mode.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
Now use the law of sines to determine side length z.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
Hence, The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
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The combination lock has three wheels each numbered from 0 to 9 what is the possibility that someone randomly guesses the correct combination in five attempts?
Answers
The possibility that someone randomly guesses the correct combination in five attempts is 1/200
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given;
There are three wheels
Each numbered from 0 to 9
For the first wheel, you have 10 possible digits.
For the second wheel, you have 10 possible digits.
For the third wheel, you have 10 possible digits.
10 x 10 x 10 = 1000
For 5 attempts= 5/1000
=1/200
Therefore, the probability will be 1/200
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Help to count area, i’am too bad for this, thank’s
Answers
Answer:
a) 93 cm²
b) 98 cm²
Step-by-step explanation:
You want the areas of the squares shown in each of the figures.
Pythagorean theoremThe Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides of a right triangle.
a)The square of the hypotenuse is 17² = 289.
The sum of the squares of the other two sides is ...
shaded square + (14)² = 17²
shaded square + 196 = 289
shaded square = 289 -196 = 93 . . . . cm²
Sabcd = 93 cm².
b)The square of the diagonal is the sum of the squares of the sides. Each of those squares is the area of interest:
14² = (shaded square) + (shaded square)
196 = 2(shaded square)
98 = shaded square
Sabcd = 98 cm².
__
Additional comment
Perhaps you have seen the attached figure. It is intended to show the squares on each of the legs of the right triangle, and to illustrate that the sum of the areas of the green and purple squares is the area of the red square. This figure compares to the one for part (a) of the problem.
a² +b² = c² ⇒ a² = c² -b²
Sam weighed 105 lbs. before the holidays. She now weighs 110 lbs. Find the Percent of Change.
Answers
Answer:
5%
Step-by-step explanation:
105=100
110=x
*cross multiply*
=100x110/105
=104.76
=100-105
=5%
subtract the answer gotten with the 100 %
Find ALL the missing side lengths and angle measurements
Answers
The measure of angle L is 66 degrees, which is found using the sum of the internal angle of a triangle. The length is 3.56 units.
What are internal angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
Given that the measure of angle M is 24 degrees and angle K is 90 degrees.
The sum of internal angles of a triangle is 180 degrees, thus:
[tex]\angle M + \angle K + \angle L = 180\\\\24 + 90 + \angle L = 180 \\\\\angle L = 66[/tex]
The length of side LK can be found as follows:
tan 24 = LK / MK
tan 24 = LK / 8
0.44 * 8 = LK
LK = 3.56 units.
The length of LM can be found by applying the Pythagorean theorem.
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Which answer describes the graph of the system of equations?
The point of intersection is (0, 4).
The point of intersection is (4, 0).
The lines are parallel.
The lines coincide.
Answers
There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system. D is the right answer.
What is a System of equations?The lines of the equations must be parallel to one another for a system of equations to have no meaningful solution.
Consistent Method
First, Dependent Consistent System
There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system.2. Independent Consistency SystemA system of equations must have a single unique solution for which the equation's lines must intersect at a certain location in order to qualify as an Independent Consistent System.It is clear that the lines coincide if the graph of the given system of equations is drawn as shown below. Therefore, choice D is the right one.The complete question is,
Which answer describes the graph of the system of equations?
{y=4-x
{2y=8-2x
A) the point of intersection is (0,4)
B) the point of intersection is (4,0)
C) the lines are parallel
D) the lines coincide
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Answer:
d (the line coincide)
Step-by-step explanation:
we all need help
Which of the following is true of z scores that fall below the mean?
O Group of answer choices
O They are negative.
O They are equal to the mode.
O They are positive.
O They are in the upper half of the distribution.
Answers
The truth of z scores that fall below the mean is - they are negative. Option(b) is the correct answer.
A z-score called a standard score gives an idea of how far from the mean a data point is. But technically it is a calculation of how many standard deviations below or above the population mean a raw score is.
A z-score can place on a normal distribution curve. Z-score ranges from -3 standard deviations up to +3 standard deviations.
A z-score is equal to 0 means that it is on the mean. A positive z-score shows the score is higher than the mean average.
A negative z-score reveals the score is below the mean average.
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(Brainliest)(7th grade)Find x and y of this obtuse triangle.
Answers
A rectangle has a perimeter of 112. If the sides are 5x & 3x + 5, what is x and what are each of the sides?
Answers
The value of X is 7.625 while the two sides are 38.125 and 27.875.
To find the perimeter:Perimeter = 2(L+B)
112 = 2(5x + 3x + 5)
112 = 2(8x + 5)
Dividing both sides by 2
56 = 8x + 5
56 + 5 = 8x
61 = 8x
x = 61/8
x = 7.625
The sides are;
5x = 5(7.625)
5x = 38.125
3x + 5 = 3(7.625) + 5
3x + 5 = 22.875 + 5
3x + 5 = 27.875
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Examine the triangle below, solve for x and y, rounded to two decimal places.
X=
y=
30°
16
X
y
Answers
The _____ describes the average distance of distribution values from the mean.
A.standard deviation
B.arithmetic average
C.mean
D.mode
E.median
Answers
Mindy and Troy combined ate 999 pieces of the wedding cake. Mindy ate 333 pieces of cake and Troy had \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction of the total cake.
Answers
The expression is 3 + c/4 = 9 and the total pieces of care are 24.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator).
Given total cake eaten by mindy and troy = 9 pieces
Mindy ate = 3 pieces of cake
Troy = had ¼ of the total cake.
let there be c pieces of cake,
troy ate = c/4
Let Mindy ate be a and troy ate be b
a + b = 9
and a = 3, b = x/4
3 + c/4 = 9
c = 6 * 4
c = 24
Hence the equation is 3 + c/4 = 9 and there are 24 pieces of cake.
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the correct question is ,
Mindy and Troy combined 9 pieces of the wedding cake .Mindy ate three pieces of cake and Troy had 1/4 of the total cake
write an equation to determine how many pieces of cake (c) there were in total
Express the absolute value function f(x) = -7|x| as a piecewise-defined function.
Answers
Answer:1111
Step-by-step explanation:1111
Ayden owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3-75 and each burrito for $6.25.
Ayden must sell no less than $530 worth of tacos and burritos each day. Also, he can sell at most 70 burritos. If a represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
see below for a graph
(x, y) = (50, 60) . . . . one possible solution
Step-by-step explanation:
You want inequalities, their graph, and one possible solution to match the Ayden food truck scenario: a total of 120 tacos (x) or burritos (y) can be sold, with that total including at most 70 burritos. At $3.75 per taco and $6.25 per burrito, revenue must be at least $530.
InequalitiesAn inequality can be written for each constraint:
total number of tacos and burritos: x + y ≤ 120
minimum revenue: 3.75x +6.25y ≥ 530
maximum burritos: y ≤ 70
GraphThese are graphed in the attachment. The point (x, y) = (50, 60) represents one possible solution: 50 tacos and 60 burritos sold for $562.50.
Graph -3x2+12y2=84 . What Are The Domain And Range?
Answers
The domain and range of the given graph function is R.
The equation -3x^2 + 12y^2 = 84 represents an ellipse in the coordinate plane. The standard form of an ellipse is (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axis, respectively.
To put the given equation in standard form, we need to divide both sides by 84, and divide the x^2 and y^2 by the square of their respective coefficient:
(-3/84)x^2 + (12/84)y^2 = 1
This gives us x^2/ (84/-3)^2 + y^2/ (84/12)^2 = 1
Which gives us x^2/28 + y^2/7 = 1
This means that the semi-major axis has a length of 2sqrt(7) and the semi-minor axis has a length of sqrt(7).
The domain of this function is all real numbers, because the x values can take any real value.
The range of this function is also all real numbers, because the y values can take any real value, within the boundaries of the ellipse.
So, the domain and range of the function -3x^2 + 12y^2 = 84 is all real numbers.
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Calcula el volumen de un prisma cuya base es un rombo de diagonales 12 y 18 cm
Answers
So on solving the provided question we can say that - Area of prism,
Area, A = 2(wl+hl+hw) = 180 sq units
what is prism?The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.
Area, A = 2(wl+hl+hw)
A = 2(20 + 40 + 30)
A = 2(90)
A = 180sq units
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A zebra can run at a constant speed of 0.6 miles per minute. How far can a zebra run in 30 minutes?
Answers
Answer:
To find how far a zebra can run in 30 minutes, we need to multiply its speed by the amount of time it runs.
Distance = speed x time
In this case, the speed of the zebra is 0.6 miles per minute and the time it runs is 30 minutes.
Distance = 0.6 miles/min x 30 min = 18 miles
So, a zebra can run 18 miles in 30 minutes at a constant speed of 0.6 miles per minute.
Answer:
18 miles
Step-by-step explanation:
0.6 -----> 1
x -----> 30
30×0.6= 18