The most appropriate choice for parallelogram will be given by
[tex]\Delta ABD \cong \Delta CDB[/tex] has been proved
What is a parallelogram?
Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.
There are different properties of parallelogram-
Opposite sides of a parallelogram are equal
Opposite angles of a parallelogram are equal
Diagonals of a parallelogram bisect each other
Here,
AD || BC [Definition of Parallelogram]
[tex]\angle ADB \cong \angle CBD[/tex] [Alternate interior angle theorem]
AB || CD [Definition of Parallelogram]
[tex]\angle ABD \cong \angle CDB[/tex] [Alternate interior angle theorem]
[tex]DB \cong DB[/tex] [DB is the common side]
[tex]\Delta ABD \cong \Delta CDB[/tex] [ASA axiom]
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Dwight Donovan, the president of Baird Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of five years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for Project A are $108,000 and for Project B are $38,000. The annual expected cash inflows are $27,766 for Project A and $11,069 for Project B. Both investments are expected to provide cash flow benefits for the next five years. Baird Enterprises’ desired rate of return is 8 percent. (PV of $1 and PVA of $1)
a triangle has base 8cm and a perpendicular height 5.2cm
Answer:
A=20.8cm
A = 1/2 * base * height
A= 1/2 * 8 * 5.2
Please help!!!!
If 5 pounds of ground beef is enough to make 15 hamburgers, how much ground beef should you
buy if you plan to make 27 hamburgers?
Answer:
9
Step-by-step explanation:
5p=15, 15/5=3 so p=3
to find how many pounds (p) for 27, use the equation:
3x=27
27/3= 9
5x3=15
9x3=27
Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y.
Answer:
Both are correct
Step-by-step explanation:
Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
Given information:
Jared found that for one equation and substituted for y in the other equation.
Nicole found for the one equation and substituted for x in the other equation.
So, there are two equations. Based on the question, the equation should be,
and .
Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.
This method is the substitution method which is used to find the solution of the system of equations.
Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
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Arianna invests money in an account paying a simple interest of 2% per year. If she invests $20 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answer:
20.40
Step-by-step explanation:
A line has a slope of 4 and includes the points (-5, t) and (-3, 9). What is the value of t?
Answer:
Please see attachment for explanation and answer.
2(-4x)-(x-8) simplified
What is the answer? Please help
Rocco assembles 5/6 of a trundle bed in 1/3 of his shift. Find the unit rate
Answer:
2.5 trundle beds assembled per shift
Step-by-step explanation:
5/6 to 1/3 (How many trundle beds Rocco assembles in 1/3 of a shift)
5/2 to 1 (multiply by 3 to both numbers)
2.5 to 1 (convert 5/2 into a decimal)
In the class students the following data table summarizes how many students have a brother or sister what is the possibilities that the students chosen randomly from the class have brothers and sisters
From the table we notice that we survey a total of 26 students; 4 of them have sisters and brothers, therefore the probability we are looking for is:
[tex]P=\frac{4}{26}=\frac{2}{13}[/tex]The greatest common monomial factor of 12x^2+48x^4?
The greatest common monomial factors for the above equation is: x = 0
What is monomial factor?
Monomial equations in mathematics are quadratic equations with a greatest degree of one. These expressions are classified as monomial, binomial, trinomial, etc. and fall within the category of polynomial equations.
The answer to the query provides the following equation for the greatest common monomial factor:
Required formula: 12x2 + 48x4.
[tex]12x^{2}+ 48x^{4}=12x^{2}(1+48x^{2})[/tex]
Now, equate the calculated equation to zero:
[tex]12x^{2}(1+48x^{2})=0[/tex]
Hence, the greatest common monomial factors for the above calculated equation is: x = 0
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A quotient of a number and -1.5 is 21
A quotient of a number and -1.5 is 21 hence it is 21 = - 1.5D and D = - 14.
What is an expression?An expression is a mathematical way of writing variables and constants separated by the operation of addition and subtraction. Unlike equations in expressions, we do not equate the terms to zero.
We know N = DQ + R.
Where N = The number itself, D = Divisor, Q = Quotient and,
R = Remainder.
Given, A quotient of a number and -1.5 is 21.
Let the number be D.
∴ 21 = - 1.5D
D = - 21/1.5.
D = - 14.
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hi help please thanks
Answer:
Angle 2 + Angle 3 = 180 degrees
Step-by-step explanation:
Brainliest please!
Write the equation in standard form for y-5= -1/2 (x+2)
Answer:
x+2y=8
Step-by-step explanation:
The graph shows the function y = 3x - 1. What are the coordinates of the intercepts?
(0, -1) and (1/3, 0)
(0, 1/3) and (3, 0)
(0, 1/3) and (-1, 0)
(0, -1) and (3, 0)
The coordinate of the intercepts of the graph are (0, -1) and (1/3, 0).
What is termed as the coordinate intercepts?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis in which a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope and c is really the y-intercept.There are two types of intercepts: x-intercept and y-intercept. The x-intercept is the point in which the line crosses the x-axis, and the y-intercept is the point in which the line crosses the y-axis.The equation of the line is given as;
y = 3x - 1.
For x-intercept put y = 0;
0 = 3x - 1.
x = 1/3
x-intercept = (1/3, 0)
Now, for y-intercept, put x = 0.
y = 3x0 - 1
y = -1
y-intercept = (0 , -1)
Thus, the coordinates of the intercepts are (0, -1) and (1/3, 0).
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1.-Draw a box-and-whisker plot for the data set
12, 5, 22, 30, 7, 36, 14, 42, 15, 53, 25
The box-and-whisker plot of the data is given below.
What is box-and-whisker plot?
When we plot a graph for the box plot, we outline a box from the first quartile to the third quartile. A vertical line that goes through the box is the median. The whiskers (small lines) go from each quartile towards the minimum or maximum value.
Given data is
12,5,22,30,7,36,14,42,15,53,25
First we will arrange it in ascending order.
5,7,12,14,15,22,25,30,36,42,53
The maximum and minimum value are 5 and 53.
First quartile is 3 and third quartile is 9
median is 22 (middle term).
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Ndndndncjdbxbxhdhxhdbd bjyrr
Graph the line with slope -2 passing through the point (-1, 2).
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
6
Step-by-step explanation:
first you have to find the side length. Since it is a square all 4 sides are equal and since the total length of the sides is 24, then the length of one side is 24/4= 6.
Answer:
you didnt open the opshens so i cant help you
Point B is due east of point A. Point C is due north of point B. The distance
between points A and C is 10√2 meters, and BAC = 45°. Point Dis 20
meters due north of point C. The distance |AD| is between which two
integers?
please hurry
Answer: Point B
Step-by-step explanation:
What is the like term, Coefficient and constants 4+4y+y+3
Answer:7+5y
Step-by-step explanation:
3+4=7
4y+y=5y
HELP ASPA AND GET 20 PONITS
If you can bake 15 cookies in 5 minutes, then how many cookies can you
bake in 32 minutes?
Answer:
You can bake 96 cookies in 32 minutes.
Step-by-step explanation:
Since we are given "if you can bake 15 cookies in 5 minutes" you dived 15 by 5 to find the unit rate. 15÷5=3
Since 3 is the unit rate we multiply it by 32, to get 96.
3×32=96
In other words, the unit rate is how many cookies you can make in a minute.
Please mark Brainliest!
Answer:
What the first guy said.
Step-by-step explanation:
Can someone help me solve this?
The sum of the first 26 terms for an arithmetic sequence is 1417.
The sum of the first 8 terms for the same arithmetic sequence is 76.
Find the value of the first term.
The value of the first term is -8.
Here it is given that the series is in an arithmetic sequence.
The formula for the sum of a series in an arithmetic sequence.
[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)
n = number of term
d = common difference
a = first term of a sequence
[tex]S_{n}[/tex]= sum of n number of terms
It is given that sum of 26 number of a term is 1417, and the sum of first 8 number of a term is 76.
So from that, we have two equations by putting the term in the equation
1417 = 26/2( 2a + (26-1)d)
1417 = 13(2a + 25d)
109 = 2a + 25d .........(1)
76 = 8/2( 2a + (8-1)d)
19 = 2a + 7d ..........(2)
Now subtract equations (1) and (2) we get
90 = 18d
d = 5
Now put the value of d in equation (2), we get
19 = 2a + 7× 5
19 - 35 = 2a
2a = -16
a = -8
Therefore the first term of the sequence is -8.
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Chee was out at a restaurant for dinner when the bill came. Her dinner came to $23. She wanted to leave a 20% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answer:
7788987797998789878888878999999
Help me out and quick
The coordinates of the image of point B after the transformations is (4,3) .
What are the coordinates?
Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space latitude and longitude coordinates.
Hence, the coordinates of the image of point B after the transformations is (4,3).
For a project in her Geometry class, Chloe uses a mirror on the ground to measure the height of her school’s flagpole. She walks a distance of 8.85 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.1 meters to the other side of the mirror, until she can see the top of the flagpole clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.15 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.
The height of the flagpole will be 9.25 m to the nearest hundredth of a meter.
What is geometry?It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
Given that, after moving a mirror with an X in the middle to a level position on the ground 8.85 metres away from the flagpole.
The top of the flagpole is then plainly indicated in the X as she moves 1.1 metres to the opposite side of the mirror. Her companion calculates that there are 1.15 metres between her eyes and the ground.
From the similarity of two triangle,
1.15 / h = 1.1 / 8.85
1.1 h = 1.15 × 8.85
1.1 h = 10.1775
h = 9.25 m
Thus, the height of the flagpole will be 9.25 m to the nearest hundredth of a meter.
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a soft drink machine outputs a mean of 27 ounces per cup. the machine's output is normally distributed with a standard deviation of 2 ounces. what is the probability of putting less than 31 ounces in a cup? round your answer to four decimal places
The probability of putting less than 31 ounces in a cup is 0.9773.
The standard score is the number of standard deviations that a raw score deviates from or exceeds the mean of the thing being measured or observed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
A soft drink machine's output is normally distributed.
The mean is μ = 27 ounces per cup.
The standard deviation, σ = 2 ounces.
The z score when x is a random variable that represents the output of the machine will be given as:
Z = ( X - μ)/σ
Z = ( 31 - 27)/2
Z = 4/2
Z = 2
Then the probability of putting less than 31 ounces in a cup using the p-value from the Z table will be:
P( X < 31 ) = 0.97725
P( X < 31 ) ≈ 0.9773
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Compare | -0.05 | and | -0.005 |.
2. Write the expression 8w - 12y +15 divided by 3 + w-6 in simplest form. Show all work leading to your
answer.
The expression in the form of equation can be simplified as: 7w - 12y + 18
What is equation?
In mathematics, the statement based problems can be solved by forming the equations. And the equations consist of dependent variable as well as independent variables. It is calculated by equating the terms to zero.
According to the question, the given expression in the form of equation is as follows:
Required expression: 8w - 12 y + 15 divided by 3 + w - 6
The given expression can be re-written as:
Required expression: (8w - 12y + 15)/(3 + w - 6) = 7w -12y +18
Hence, the expression in the form of equation can be simplified as:
7w - 12y + 18
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Pls help ASAP due in an hr.
for the line slope on the bottom two answers are -4/3 and -3/4
There are 2 pictures.
1. (x,y)=(-1,5),(0,2),(1,-1),(2,-4). Option -3 is correct.
2. The slope of the line is 4/3. Option-1 is correct.
Given that,
There are 2 pictures.
In the first picture we have to find which table satisfy the equation.
In the second picture we have to find slope of the given graph.
First,
The given equation is y=-3x+2
In every option the x values are same that is -1,0,1,2.
Substitute x value as -1,0,1,2
Taking x as-1
y=-3(-1)+2
y=3+2
y=5
Taking x as 0
y=-3(0)+2
y=2
Taking x as 1
y=-3(1)+2
y=-3+2
y=-1
Taking x as 2
y=-3(2)+2
y=-6+2
y=-4
Therefore, we got (x,y)=(-1,5),(0,2),(1,-1),(2,-4). Option -3 is correct.
Now, We see the second picture.
Given line point are (2,2) and (-1,-2)
Slope of the line formula is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slope =(-2-2)/(-1-2)
Slope=-4/-3
Slope=4/3
Therefore, the slope of the line is 4/3. Option-1 is correct.
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A student hikes a trail at a constant rate. After 15 minutes, the hiker travels 1,500 feet
Answer:
joe
Step-by-step explanation:
Answer:
100 feet per minute