calculate the length of BE
Answers
The length of the line BE is 14.4 cm.
When two parallel lines are intersected by another line, corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal.
In ΔACD
BE is parallel to CD.
Now, consider ΔACD and ΔABE
Line BE is parallel to CD.
The corresponding angles are,
∠ACD =∠ABE
∠ADC = ∠AEB
And, the common angle is:
∠A = ∠A
Therefore, ΔACD ∼ ΔABE
Hence, the corresponding sides are in proportion.
Now,
AB/AC = BE/CD
BE = CD( AB/AC )
From the diagram,
CD = 18 cm, AB = 20 cm, and AC = AB + BC = 25 cm
BE = 18( 20/25 )
BE = 14.4 cm
Hence, in triangle ABE the length of the line segment BE is 14.4 cm.
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Related Questions
2(-4x)-(x-8) simplified
Answers
A quotient of a number and -1.5 is 21
Answers
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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Help me out and quick
Answers
B is (3,3). When its reflected at x-axis, it’ll be (4,-3).
When it reflected at y-axis, it’ll be (-4,-3).
Please be noted the reflection is same as the distance from its original point to the axis
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).
Compare | -0.05 | and | -0.005 |.
Answers
steps to solution:
1. find the "full" value
which would be |-0.05| to 0.05 and |-0.005| to 0.005
2. The (5) in the hundredths place in 0.050 is greater than (0) in the hundredths place in 0.005
Therefore 0.05 > 0.005 (0.05 is greater than 0.005)
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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.
Answers
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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A student hikes a trail at a constant rate. After 15 minutes, the hiker travels 1,500 feet
Answers
Answer:
joe
Step-by-step explanation:
Answer:
100 feet per minute
The greatest common monomial factor of 12x^2+48x^4?
Answers
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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Ndndndncjdbxbxhdhxhdbd bjyrr
Answers
Snjxkskskod egsusuisjdnnc
Graph the line with slope -2 passing through the point (-1, 2).
Answers
Remember Rise/Run
The midpoint of AB is M(3,-2). If the coordinates of A are (8, 4), what are the
coordinates of B?
Answers
The coordinate of B is (2,-8).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-2) and the coordinates of A are (8, 4).
The midpoint will be calculated by using the formula below:-
[tex]\frac{8+x}{2}[/tex] = 3
8 + x = 6
x = -8 + 6 = -2
x = -2
Similarly for y
[tex]\frac{4+y}{2}[/tex] = -2
4 + y = -4
y = -8
Hence, The coordinates of the point B will be (-2,-8).
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hi help please thanks
Answers
Answer:
Angle 2 + Angle 3 = 180 degrees
Step-by-step explanation:
Brainliest please!
a triangle has base 8cm and a perpendicular height 5.2cm
Answers
Answer:
A=20.8cm
A = 1/2 * base * height
A= 1/2 * 8 * 5.2
A line has a slope of 4 and includes the points (-5, t) and (-3, 9). What is the value of t?
Answers
Answer:
Please see attachment for explanation and answer.
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?
Answers
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
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?
Answers
Answer:
7788987797998789878888878999999
a man 6 feet tall is walking at a rate of 3 ft/s toward a street light 18 ft high. at what rate is the tip of the shadow moving? at what rate is the shadow length changing?
Answers
Answer:
Step-by-step When he is 10 feet from the base of the light, the rate at which the tip of his shadow moves is 10ft/s (b) When he is 10 feet from the base of the light, the rate at which the length of his shadow changes is 4ft/s
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.
Answers
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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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)
Answers
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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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?
Answers
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:
)
E Knowledge Check
Question 3
Amanda cut away 1.58 meters of rope. Before that, she had 3 meters of rope. How much rope does Amanda have left?
Answers
Answer:
the answer is 1.42
Step-by-step explanation:
1: the total number of the rope is 3 and when we take away 1.58 it is equal to 1.42.
2: 3-1.58=1.42
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?
Answers
Answer:
20.40
Step-by-step explanation:
1.-Draw a box-and-whisker plot for the data set
12, 5, 22, 30, 7, 36, 14, 42, 15, 53, 25
Answers
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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What type of reasoning is used to find the next amount of train cars? Explain your answer.
Answers
Answer:
if I'm not wrong I believe it's inductive reasoning
Since you're just observing the pattern here (train goes times 2 so the next thingy would prob be 8 I guess)
If this isn't about deductive and inductive reasoning I am SUPER sorry for giving you the wrong answer^^
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.
Answers
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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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answers
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
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
Answers
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]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)
Answers
Regina has 3 yards of yarn. She
needs 3/4 yard for each shawl she
makes. How many shawls can she
make?
Answers
Answer:
Regina can make 4 shawls.
Step-by-step explanation:
To find the unit rate you do 3 divided by 3/4. You get 4. That is how many shawls she can make. To check this you can multiply 4 by 3/4 to get 3.
Please mark Brainliest!
Answer:
4
Step-by-step explanation:
Pls help ASAP due in an hr.
for the line slope on the bottom two answers are -4/3 and -3/4
Answers
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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What is the range of the relation? {(-4,1), (-2, 0), (8,-1)}
Answers
Answer:
The range of the relation is {1, 0, -1}.
Step-by-step explanation:
The range of a relation will be all the y-values in the ordered pairs.
