What type of construction is illustrated in the figure?
A
The bisection of ∠D
B
A line segment congruent to segment AB
C
An angle congruent to ∠D
D
The bisection of segment BD
Answers
Option A is correct. The type of construction that we have here is the bisection of the <D.
What is the bisection of an angle?The bisection of angle can be defined to be the construction of a ray that would help to divide a particular angle into two equal halves.
In this diagram we can see that the angle here is at D. Hence the construction is aimed at dividing this particular angle into 2. Therefore the answer to the question is The bisection of ∠D.
The bisector does the job of creating an equal measure. The given bisector is known to have the midpoint of the segment. It cuts through this angle and creates two different angles that are of the same size.
If we draw the line in that shape, we will be having the division of that angle. From the explanation here, we can see the answer is the first option
Read more on the bisection of an angle here:
https://brainly.com/question/25770607
#SPJ1
Related Questions
Solve: 25x2 − 30 = 0 round the answer to the nearest hundredth. x = −1.10 and x = 1.10 x = −26.15 and x = 1.15 x = 0 x = −0.83 and x = 0.83
Answers
Answer:
(a) x = -1.10 and x = 1.10
Step-by-step explanation:
A straightforward square root will give the value of x.
SolutionDivide by the coefficient of x^2:
x^2 -30/25 = 0
x^2 -1.20 = 0
Add 1.20, and take the square root.
x^2 = 1.20
x = ±√1.20 ≈ ±1.0954
x ≈ -1.10 and 1.10 . . . . . round to hundredths
__
Additional comment
For small values of x, the root of (1+x) is approximately 1+x/2. For a root accuracy to the nearest hundredth, x < 0.21 (as here). For accuracy to the nearest thousandth, x < 0.064.
I have one try left on this problem
Answers
Answer:
632
Step-by-step explanation:
So we can define decreasing x% in two ways: we can define 20% off as 80% of the original value, or we can define subtracting 20% from the original value, and both representations are useful.
In this case it's more useful to define 20% as subtracting 20%, from the original value. The reason for this, is because since we're subtracting 20% of the original value, we then know that 126.40 is 20% the original value.
So to find x% of some value, you generally use the following equation: [tex]A*\frac{x}{100}[/tex] where A=original amount, and x is the percent. This equation is simply converting the x% to a decimal value. Since 126.40 is 20%, we can derive the following equation.
[tex]0.20A = 126.40[/tex]
We can solve for A, by dividing by 0.20
[tex]A=632\\[/tex]
It's also important to note, you didn't really have to set up this entire equation, since you know that the 126.40 is 20%, you simply could've multiplied by 5, since 20% is really just 1/5 of the entire value, so get the entire value, or original value you multiply by 5
How to factorise completely please help this is algebra
Answers
(a) (x-12)(x+11)
(b) x³-4x=x(x²-4)=x(x-2)(x+2)
To gain a pass a student needs to achieve a mean of at least 60% in eight tests. In the first seven
tests the student achieved a mean of 54%. What percentage must the student achieve in test eight
if they are to pass the course?
Answers
Step-by-step explanation:
the mean value is the sum of all data points divided by the number of data points.
first we have 7 tests and their mean value :
(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54
that means
(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378
in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480
because only then we have
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60
and the student passes.
so,
(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480
378 + t8 = 480
t8 = 480 - 378 = 102%
the student would have to achieve 102% on the 8th test.
which would be normally impossible, but maybe the tests involve some bonus points.
PLEASE HELP IM STUCK PLS
Answers
Answer: (8,0) and (0,-4)
Step-by-step explanation:
The x-intercept of an equation is when the equation touches the x-axis which is also where y = 0
So the x coordinate of the x-intercept is -2x + 0 = -16 as y = 0
x = 8 so the x-intercept is (8,0)
The y-intercept of an equation is when the equation touches the y-axis which is also where x = 0
So the y coordinate of the y-intercept is 0 + 4y = -16 as x = 0
y = -4 so the y intercept is (0,-4)
What is the answer please
Answers
Answer:
m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131
m∠RST = 2x = 2(14) = 28
m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103
Step-by-step explanation:
m∠RSU = m∠RST + m∠TSU
10x - 9 = 2x + (2x + 75)
10x - 9 = 2x + 2x + 75
10x - 9 = 4x + 75
-4x +9 -4x +9
6x = 84
x = 14
m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131
m∠RST = 2x = 2(14) = 28
m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103
In your own words, define the unit rate in an equation of proportional relationship y= kx.
Answers
Answer:
hdchyf
Step-by-step explanation:
fhyrb ufgfyg hchybgvtct ugh
the graph of y=-3x+ 2 is:
Answers
y=mx + b.
m is the slope, b is the intercept.
Start with the intercept y= 2, the point (0,2).
A slope of 3 would give you (1,5) as a second point for your line.
Get a ruler and draw a line through the two points.
What is 0.08 written as a fraction in simplest form?
Answers
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
Each "place" in the decimal, can be represented with a base 10 in the numerator.
For example the "tenths" place can be represented as: [tex]\frac{a}{10^1}[/tex] where a=decimal.
The hundredths place can be represented as: [tex]\frac{a}{10^2}[/tex]
The thousandths place can be represented as: [tex]\frac{a}{10^3}[/tex]
and so on...
In this case, we have a decimal in the hundredths place which can be represented as: [tex]\frac{8}{10^2} = \frac{8}{100}[/tex]. Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same. [tex]\frac{8}{100} * \frac{0.25}{0.25} = \frac{2}{25}[/tex]
Geometry: complete this proof, ASAP!!!
Answers
Answer:
1. Given
2. Triangle Interior Angle Sum Theorem
3. Substitution Property of Equality
4. Subtraction Property
5. Definition of Complementary Angles
Geometry: complete this proof, ASAP!!!!!!!!!!!!!!!! It’s urgent
Answers
Answer:
1.ABC is equilateral triangle because all sides are equal
3.because they are the joined figure of a triangle
Directions: Simplify the following expressions using the imaginary number.
1. V-5
2. √-49
3. -3√-9
4. -8√-64
5. -√-50
6.-2√-12
7.5√-12
8. V-8
9. 3√-7
10. -3√-200
Answers
Answer:
1 i(sqrt5)
2 7i
3 -9i
4 -64i
5 -5i(sqrt2)
6 -4i(sqrt3)
7 10i(sqrt3)
8 2i(sqrt2)
9 3i(sqrt7)
10 -30i(sqrt2)
Step-by-step explanation:
i is the square root of (-1). We can simplify each one as such.
Ebony's bank balance 1st reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Determine
B(5), B(6), and B(7). Explain how you determined these amounts.
Explain how you determined these amounts.
(b) Estimate
B(1), B(2), and B(3)
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day
12 was the same amount of money she put into her account each day between Day 0 and Day 4.
Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could
you show Jade why that cannot be true?
Answers
Ebony’s bank balance is $400 was Day 8 and this can be explained below.
How to explain the information?Jade cannot be true because for every transaction made during withdraws, a little amount of money is collected and as such the amount will never remain $400.
Note that the scenario for the above to occur is:
On day 4, her balance = $400
On day 5, her balance = $40
On day 6, her balance = $400
On day 7, her balance = $400
On day 8, her balance = $400
Another fact is that since she deposited 400 at first, on day 8, there will be a 0 increase so the amount will still be 400.
Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.
Learn more about estimation on:
brainly.com/question/107747
#SPJ1
Simplify this expression √x4y12
Answers
Answer:
4[tex]\sqrt{3xy}[/tex]
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as to manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the 0.05 significance level.
Answers
The conclusion based on the hypothesis is that do not reject the null hypothesis as the row an column factors are independent.
How to make the conclusion?From the information given, the null hypothesis is that the row and the column factors are independent. The alternative hypothesis is that they're dependent.
This was run by using the Chi square test and the following information was gotten:
Test statistic = 2.5234
P- value = 0.1122
Degree of freedom = (2-1)(2-1) = 1
Since the p value is equal to 1%, do not reject the null hypothesis as the row an column factors are independent.
Learn more about hypothesis on:
brainly.com/question/11555274
#SPJ1
Answer and explanation in the attached file.
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12, -4, 6}
Answers
The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.
How to determine the range of a function?Given: 12x + 6y = 24
Here x stands for the input and y stands for the output
Replacing y with f(x)
12x + 6f(x) = 24
6f(x) = 24 - 12x
f(x) = (24 - 12x)/6
Domain = {-4, 0, 5}
Put the elements of the domain, one by one, to estimate the range
f(-4) = (24 - 12((-4))/6
= (72)/6 = 12
f(0) = (24 - 12(0)/6
= (24)/6 = 4
f(5) = (24 - 12(5)/6
= (-36)/6 = -6
The range exists {12, 4, -6}
Therefore, the correct answer is option c. {12, 4, -6}.
To learn more about Range, Domain and functions refer to:
https://brainly.com/question/1942755
#SPJ4
How many solutions can be found for the equation 4z 2(z − 4) = 3z 11? none one two infinitely many
Answers
There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is the Solution?A solution is any value of a variable that makes the specified equation true.
According to the given information:
4z + 2(z-4)= 3z+11
Solve the equation,
4z+2z-8=3z+11
6z-3z=11+8
3z =19
z=
Hence,
Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one
To know more about Equations and Solutions visit:
https://brainly.com/question/545403
#SPJ4
Dexter has plotted the line shown in red.
What is the slope of the line?
-8-6-4-2
CA
€
10
O
Answers
Answer:
-1/3
Step-by-step explanation:
1:make y the subject.
2:slope of line is the coefficient of x
.Which statement is true about two ordered pairs
that are the same except for the signs of the
numbers?
A. Their points are reflections.
B. Their points are on the horizontal axis.
C. Their points are on the vertical axis.
D. Their points are in different quadrants.
Answer
Answers
The statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
What are ordered pairs?Ordered pairs are known to be pairs of numbers that are used locate a point in the rectangular coordinate plane
They are written as (x ,y)
where
x is the x-coordinate y is the y-coordinateIt is important to note that the location of the ordered pair in the quadrants determines the sign of the x and y coordinates.
The signs of the ordered pairs are given as;
When (x , y) is in Quadrant I then both x and y are positive
(x , y) is in Quadrant II then x is negative and y is positive (x , y) is in Quadrant III then both x and y are negative (x , y) is in Quadrant IV then x is positive and y is negativeTherefore, the statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
Learn more about ordered pairs here:
https://brainly.com/question/24301281
#SPJ1
help me with this please
Answers
Answer:
48
Step-by-step explanation:
The area of this circle is
[tex]\pi( {4}^{2} ) = 16\pi = 50.27[/tex]
about 50.27 square centimeters. So 48 square centimeters seems reasonable here since 3 is used for π.
June and Angad have played 30 tennis matches.
June has won 14 times.
Angad won the rest.
a) Estimate the probability that June wins.
b) Estimate the probability that Angad wins
Answers
Answer:
The file contains the solution to the question
A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
Answers
45 square feet is the area of the base of the pedestal.
what is rectangular prism?
A rectangular prism is a 3D figure with 6 rectangular faces. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.we know that
The volume of the pedestal (rectangular prism) is given by the formula
V = B × h
where
B is the area of the rectangular base of pedestal
V = 405 ft³
h = 9 ft
put the given values in the formula and solve for B
405 = B × 9
B = 405/9
B = 45 ft²
Therefore, 45 square feet is the area of the base of the pedestal.
Learn more about rectangular prism
brainly.com/question/21308574
#SPJ4
help please. which one is right?
Answers
Answer: B
Step-by-step explanation: If it goes through a point, flip that point around and that is the point of the inverse. Do that for multiple points to get your answer, which is B
Please help !!! Need help !!!
Answers
Opposite angles are non-adjacent angles that are formed by two intersecting lines. They are congruent.
Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36}
Answers
1st quartile: 11
median: 38.50000
3rd quartile: 45
According to the given information:Order these numbers in increasing order: 6, 7, 15, 36, 41, 43, 47, 49There is a 38.5 median (it is the mean of 36 and 41 - the pair of middle entries).6,7,15,36, or the left-most half of the data, make up the sample.The median of the lower half is 11, which is the first quartile (it is the mean of 7 and 15 - the pair of middle entries).41, 43, 47, and 49, which are the data points in the upper half, are to the right of the median.The median of the upper half is 45 in the third quartile (it is the mean of 43 and 47 - the pair of middle entries).The biggest value deviates 10.5 from the median (49-38.5)Measure descriptive statistics
1st quartile: 11
median: 38.50000
3rd quartile: 45
To know more about quartile visit:
https://brainly.com/question/8737601
#SPJ4
I understand that the question you are looking for is :
2 Drag the tiles to the boxes to form correct pairs. Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36} first quartile 38.5 median 11 third quartile 10.5 the difference of the largest value and the median 45
need help finding x.
Answers
Answer:
x = 6
Step-by-step explanation:
• the diagonals of a parallelogram bisect each other , then
5x + 11 = 4x + 17 ( subtract 4x from both sides )
x + 11 = 17 ( subtract 11 from both sides )
x = 6
Since it's divided equally diagonally, 4x+17 and 5x+11 are equal.
Let's set them equal to each other and solve.]
[tex]4x+17=5x+11[/tex]
Subtract 4x from both sides to combine like terms.
[tex]17=x+11[/tex]
Now subtract 11 from both sides to isolate the variable and solve for x.
[tex]6=x[/tex]
Flip the equation to put in standard form and now you have x :)
[tex]x=6[/tex]
hope this helped!
Solve this inequality and write the solution using interval notation:
Answers
The solution to the inequality in discuss involving a rational expression as indicated in the task content is; t (9, infinity).
What is the solution to the inequality as indicated in the task content in which case, the solution is expressed using interval notation?The inequality given in the task content as evident is; (2t +22)/(2t +2) <= 2.
On this note, the inequality can be solved by cross-multiplication as follows;
2t +22 <= 4t +4
Hence, we have;
-2t <= -18
t >= 9.
Hence, when expressed as an interval notation, we have; t (9, infinity).
Read more on inequalities;
https://brainly.com/question/11613554
#SPJ1
If the first two angles of a triangle measure 45° and 111°, what does the third angle measure?
Answers
Answer:
third angle measures 24°
Step-by-step explanation:
triangles are 180°
add up the first two angles and subtract the sum from 180°
45° + 111° = 156°
180 - 156 = 24
Please this is urgent!
The perimeter of a regular octagon is
8 times the length of one side.
Answers
An octagon is an 8 sided figure so the perimeter measurement would be 8 times the length of one side
I remember it because an octopus has 8 legs
Graph f(x) = 2 sin x.
Use 3.14 for π.
Answers
Please see the picture below