Answer:
2DE = DF.
Hence Proved.
Step-by-step explanation:
Given : E is the midpoint of DF.
To Prove : 2DE = DF
Proof :
We have given a line DF .
D____________F.
Mid point = E
Mid point : It is that point that divide the line in to two equal parts .
D______E______F.
So, DE = EF.
We can say DE= [tex]\frac{1}{2}DF[/tex].
On multiplying both sides by 2.
2DE = DF.
Hence Proved.
Therefore, 2DE = DF.
Hence Proved.
The probability that a driver is speeding on a stretch of road is 0.27. what is the probability that a driver is not speeding?
Answer: 0.73 since 1 - 1.27 = 0.73 so the drivers probability of not speeding is 0.73 hope it helps
If probability that a driver is speeding on a stretch of road is 0.27 then probability that a driver is not speeding is 0.73.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that the probability that a driver is speeding on a stretch of road is 0.27.
Probability(Speeding)=0.27
We need to find the probability that a driver is not speeding.
Probability(Not Speeding)=1-Probability(Speeding)
One minus zero point two seven
=1-0.27
We get zero point seven three
=0.73
Hence, if probability that a driver is speeding on a stretch of road is 0.27 then probability that a driver is not speeding is 0.73.
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Your gross weekly salary is $800.00. Your federal income tax deduction is $53. The Social Security tax is 6.2%. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week you have $28.40 deducted for medical insurance and $12.00 for a health savings account. What is your net pay?
The net weekly pay is $633.4
How to determine the net pay?The gross pay is given as:
Gross = $800.00
The deductions are:
Federal income tax deduction = $53.Social Security tax = 6.2%. Medicare tax = 1.45%State tax = 1.5%Medical insurance = $28.40Health savings account = $12.00The net pay is then calculated as:
Net pay = 800.00 - (53 + 6.2% * 800 + 1.45% * 800 + 1.5% * 800 + 28.40 + 12.00)
Evaluate
Net pay = 633.4
Hence, the net weekly pay is $633.4
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When you are comparing two sets of data, and one set is strongly skewed and the other is symmetric, which measures of the center and variation should you choose for the comparison?
When comparing two sets of data, choose the median for skewed data and mean with standard deviation for symmetric data.
When comparing two sets of data where one is strongly skewed and the other is symmetric, for the comparison, it is advisable to choose the median as the measure of the center for the skewed data since it is resistant to outliers, and the mean and standard deviation for the symmetric data to give an overall representation of the data.
Point Q is the midpoint of GH. GQ=2x+3, and GH=5x−5 .
What is the length of GQ?
Enter your answer in the box.
____ units
The length of GQ is 25/3 units.
Explanation:To find the length of GQ, we need to equate GQ to GH and solve for x. Since Q is the midpoint of GH, the lengths GQ and QH are equal. Therefore, we have the equation:
2x + 3 = 5x - 5
Subtract 2x from both sides:
3 = 3x - 5
Add 5 to both sides:
8 = 3x
Divide both sides by 3:
x = 8/3
To find the length of GQ, substitute the value of x back into 2x + 3:
GQ = 2(8/3) + 3
GQ = 16/3 + 3
GQ = 16/3 + 9/3
GQ = 25/3 units
Rotating a polygon in Quadrant II 270° clockwise is the same as
A) rotating it 90° clockwise.
B) rotating it 180° clockwise.
C) rotating it 90° counterclockwise.
D) rotating it 270° counterclockwise.
Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
What are two lines in the same plane that do not intersect?
A) angle
Eliminate
B) line segment
C) parallel lines
D) perpendicular lines
Solve y over negative 2 + 5 = 13.
The sum of the interior angles of a triangle is_______. 360° 180° 270° 540°
Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.
y =
x +
The slope intercept equation which models the data in the table given ls y = 3x + 1
General form of a slope - intercept equation :
y = bx + c ; b = slope ; c = interceptSlope can be calculated thus:
Slope = (y2 - y1) /(x2 - x1)
Slope = (-2 + 8) / (-1 + 3)
Slope = 6/2 = 3
Taking any pair of points, we can calculate the intercept, c :
y = 3x + c
10 = 3(3) + c
10 = 9 + c
c = 10 - 9
c = 1
Therefore, the slope - intercept equation is y = 3x + 1
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a baker starts with 4/10 kilogram. of flour to make bread he adds 3/100 kilogram of flour to his bread mixture how much total flour is used to make the bread
Answer:
Total amount of the flour used is [tex]\frac{43}{100}[/tex] kg.
Step-by-step explanation:
Baker starts with [tex]\frac{4}{10}[/tex] kilograms of flour to make bread.
He further adds flour to his bread mixture = [tex]\frac{3}{100}[/tex] kg
Now we have to calculate the amount of flour he used to make the bread.
Total flour = [tex]\frac{4}{10}+\frac{3}{100}[/tex]
= [tex]\frac{40+3}{100}[/tex]
= [tex]\frac{43}{100}[/tex] kg
Therefore, total amount of the flour used is [tex]\frac{43}{100}[/tex] kg
12-5x-4kx=y solve for x
∠A and ∠B are vertical angles with m∠A = x and m∠B = 4x - 30. What is m∠A?
The measure of angle m∠A such that ∠A and ∠B are vertical angles is 10.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Vertical angles are opposite angles become by the intersection of two straight lines and having the same measure.
Given that ∠A and ∠B are vertical angles
∠A = ∠B
x = 4x - 30
4x - x = 30
3x = 30
x = 10
Hence "The measure of angle m∠A such that ∠A and ∠B are vertical angles is 10".
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EVEN OR ODD FUNCTIONS HELP! PLS!
Which of the graphs represent an even function? I think it's the first one.
Even and Odd Functions U3L2
1. f(x)=-x^2/x^4-25
2. The function is neither even nor odd.
3. The graph is symmetric about the origin.
4. 2ND graph from the question's photos (looks like mcdonalds logo)
youre welcome !
The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimensions of the bin?
cubed root of 4896 = 16.98
round to 17
17-1 = 16
17 +1 = 18
16* 17 *18 = 4896
bin is 16 in x 17 in x 18 in
Answer:
The dimension of the rectangle is [tex]16\times 17\times 18[/tex]
Step-by-step explanation:
Given : The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches.
To find : What are the dimensions of the bin?
Solution :
The dimensions of a rectangular bin are consecutive integers.
Let the consecutive integers are x,x+1,x+2
So let, length, l=x
Breadth b=x+1
Height h=x+2
The volume of the bin is
[tex]V=l\times b\times h[/tex]
[tex]4896=x\times (x+1)\times (x+2)[/tex]
[tex]4896=(x^2+x)(x+2)[/tex]
[tex]4896=x^3+2x^2+x^2+2x[/tex]
[tex]x^3+3x^2+2x-4896=0[/tex]
Plot the equation graphically to find the value of x.
Refer the attached figure below.
The value of x is 16.
So, Length is l=16
Breadth is b=x+1=16+1=17
Height is h=x+2=16+2=18
The dimension of the rectangle is [tex]16\times 17\times 18[/tex]
Solve the inequality. x - 5 ≤ -6
A. x ≤ -1
B. x ≤ -6/5
C. x ≤ - 11
D. x ≤ 11
Three collinear point
need hlp wit these math prob
see attached picture for answer:
for the format you need it would be 1.5x +-y = 12
The stage manager of a school play creates a rectangular acting area of 42 square yards. String lights will outline the acting area. To the nearest whole number, how many yards of string lights does the manager need to enclose this area?
A land developer declared a dividend of Php 10,000,000.00 for its common stock. Suppose there are 600,000 shares of common stock, how much is the dividend per share?
The dividend per share is 16.67 and this can be determined by using the formula of the dividend per share.
Given :
A land developer declared a dividend of Php 10,000,000.00 for its common stock.Suppose there are 600,000 shares of common stock.The formula of Dividend per share can be used to determine the value of dividend per share. The formula of dividend per share is given by:
[tex]\rm Dividend \; per \; share = \dfrac{Dividend }{Total\; number \;of \;shares}[/tex]
Now, substitute the value of the known terms in the above formula:
[tex]\rm Dividend \; per \; share = \dfrac{10000000 }{600000}[/tex]
[tex]\rm Dividend \; per \; share = \dfrac{100 }{6}=16.67[/tex]
So, the dividend per share is 16.67.
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A line contains the points (82, −96) and (87, −86) .
What is the slope of the line in simplified form?
Enter your answer in the box.
The coordinates of the points M, N, P, and Q are -11, 32, -15, and 17, respectively. Which point is closest to the origin? M N P Q
Find the difference of functions s and r shown below. r(x) = –x² + 3x
s(x) = 2x + 1 (s – r)(x) =
-x^2+3x-2x+1
(-x^2+3x)-2x+1
(2x+1)-(x^2 + 3x)
2x+1-x^2+3x
Answer:
(2x + 1) - (–x² + 3x) is difference .
Step-by-step explanation:
Given : r(x) = –x² + 3x and s(x) = 2x + 1
To find : Find the difference of functions s and r .
Solution : We have given that r(x) = –x² + 3x and s(x) = 2x + 1.
Difference :
(s – r)(x) = s(x) - r(x)
=(2x + 1) - (–x² + 3x)
= 2x +1 + x²-3x
= x²-x +1.
Therefore, (2x + 1) - (–x² + 3x) is difference .
The difference of the function is (2x+1)-(x^2 + 3x)
Difference of functions
Given the following functions
r(x) = –x² + 3x
s(x) = 2x + 1
Taking the difference of the function will give:
(s – r)(x) = 2x - 1 - (-x^2 + 3x)
Expand
(s – r)(x) = 2x - 1 + x^2 - 3x
(s – r)(x) = x^2 - x - 1
Hence the difference of the function is (2x+1)-(x^2 + 3x)
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which shows the set(s) the number 2.77 is an element of?
The correct answer is option a. 2.77 is an element of the set real numbers.
To determine which set(s) the number 2.77 is an element of, let's analyze each option:
1. Real numbers: The set of real numbers includes all rational and irrational numbers. This means any number that can be placed on the number line, including integers, fractions, and decimals. Since 2.77 is a decimal number, it is indeed a real number.
2. Real numbers and natural numbers: While 2.77 is a real number, natural numbers are a subset of real numbers that consist of all positive integers (1, 2, 3, ...). Since 2.77 is not a positive integer, it is not a natural number. Therefore, this option is incorrect because 2.77 is not a natural number.
3. Natural numbers and whole numbers: As mentioned, natural numbers are positive integers. Whole numbers include all natural numbers and the number 0 (0, 1, 2, 3, ...). Since 2.77 is neither a natural number nor a whole number, this option is incorrect.
4. Null set: The null set (or empty set) contains no elements. If 2.77 were in the null set, it would imply that the null set is not empty, which contradicts the definition of the null set. Therefore, this option is incorrect.
The complete question is
"Which shows the set(s) the number 2.77 is an element of?
a. real numbers
b. real numbers and natural numbers
c. natural numbers and whole numbers
d. null set"
Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cyliner is 54pi inches cubed. Cylinder B also had a radius of 3 inches, but the height is doubled. What is the relationship between the volumes of the two cylinders?
please help me with this!!!!!!!!!!
x/(2/9) = 6
x *(9/2) = 6
9x/2=6
9x = 6*2
9x=12
x = 12/9 = 4/3
X = 4/3
Use the premises and conclusion to answer the questions.
Premises:
If the sides of a triangle are the same length, then the triangle is an equilateral triangle.
If a triangle is an equilateral triangle, then the measure of each angle is 60°.
Conclusion:
If the sides of a triangle are the same length, then the measure of each angle is 60°.
Is the argument valid? Why or why not?
The argument is not valid because the premises are not true.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of syllogism.
The argument is valid by the law of detachment.
Answer: The argument is valid by the law of syllogism.
Step-by-step explanation:
Law of syllogism in geometric arguments is similar to transitive property which tells that that if x=y and y=z then x=z.
Given premises: If the sides of a triangle are the same length, then the triangle is an equilateral triangle.
If a triangle is an equilateral triangle, then the measure of each angle is 60°.
Therefore by law of syllogism we can conclude that "If the sides of a triangle are the same length, then the measure of each angle is 60°."
Stanley ran a 5 kilometer race in 30 minutes.What was his speed in kilometers per hour?Round to the nearest tenth
−32+(−2)=
whats the answer
d=11/5(p-15) solve for p
Use the listing method to write the following set.
{x | x ∈ N, x < 3}
(A.) {1, 2, 3}
(B.) {0, 1, 2, 3}
(C.) {1, 2}
Which statement is true statement about rotation?
A. The image is smaller than the preimage.
B. The image overlaps the preimage.
C. The image is larger than the preimage
D. The image and preimage are congruent.
Answer:
The correct option is D. The image and preimage are congruent.
Step-by-step explanation:
Let us understand the this concept with the help of an example.
Consider the figure 1:
From the figure 1, it is clear that the size of image doesn't change.
Thus, option A and C are invalid.
Or we can say that, the image and preimage remain the same.
Therefore, the correct option is D. The image and preimage are congruent.