Given triangle ABC with m
Answers
The lengths of AN=2.5cm and MN=3.5cm
What is similar triangle?
Similar triangles are triangles that have a similar form, however their sizes might vary.
Main body:
IN ΔAMN ≈ΔABC
Since MN∣∣BC
∠AMN=∠ABC (Corresponding angles)
∠ANM=∠ACB (Corresponding angles)
∴ΔAMN∼ΔABC(By $$AA similarity criterion)
⇒AM/AB =AN/AC=MN/BC (CPCT)
since , M is the mid point of AB.
AM = 1/2 AB , OR
AM/AB = 1/2
AM/AB =AN/AC = 1/2
AN/AC = 1/2
AN/5= 1/2
AN = 2.5 cm
AM/AB =MN/BC = 1/2
[∵BC=7cm]
MN/7 = 1/2
MN= 7/2 =3.5
Hence , the lengths of AN=2.5cm and MN=3.5cm
the complete question is :
In triangle ABC, M is mid-point of AB and a straight line through M and parallel to BC cuts AC at N. Find the lenghts of AN and MN, if BC=7cm and AC=5cm.
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Related Questions
The vertices of a rectangle are listed below.
U(-4, 2), V-3, 0), W(-9, -3), (-10, -1)
What is the area of the rectangle?
ОА.
7.5 square units
ОВ.
30 square units
OC.
15 square units
OD
17.9 square units
Reset
Next Westion
Answers
Answer:
it's c because it is.
Step-by-step explanation:
c
Can somone pls explain what i did wrong, and the correct answer?? ( Parallel/Perpendicular Through Points algebra. write how to do questions like this simply.
Answers
The two linear equations are:
1) y = -x + 5
2) y = (-1/2)*x - 1
How to get the linear equations?Remember that two linear equations are parallel if and only if have the same slope and different y-intercept.
So to find a linear equation:
y = m*x + b
Parallel to:
x + y = 4
y = -x + 4
The slope needs to be m = -1 and the y-intercept b ≠ 4
So our line will be:
y = -x + b
To find the value of b, we use the fact that this line passes through (2, 3), replacing the values of the point in the line we get:
3 = -2 + b
3 + 2 = b
5 = b
The linear equation is y = -x + 5
For the second case, we want to find a line perpendicular to:
2x - y = 5
y = 2x - 5
Two lines are perpendicular if the product of the slopes is -1, then:
m*2 = -1
m = -1/2
So the perpendicular line is something like:
y = (-1/2)*x + b
To find the value of b we use the fact that this line needs to pass through (6, -4)
Replacing these values we get
-4 = (-1/2)*6 + b
-4 = -3 + b
-4 + 3 =b
-1 = b
The line is:
y = (-1/2)*x - 1
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Find the distance between the pair of points (4,9) and (12,3)
Answers
The formula for the distance between point (x_1,y_1) and (x_2,y_2) is,
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)Determine the distance between points (4,9) and (12,3) by using distance formula.
\(\begin{gathered} d=\sqrt[]{(12-4)^2+(3-9)^2} \\ =\sqrt[]{64+36} \\ =\sqrt[]{100} \\ =10 \end{gathered}\)So distance between the two points is 10.
Solve by finding a common denominator 3/4+1/5 the common denominator is 20 but how do you find the top number?
Answers
Answer:
The fractions are 15/20 and 4/20
Step-by-step explanation:
3/4 + 1/5 = 19/20
For example, if you have the fraction 3/4 you would multiply the demominator by 5 to get 20. What you do to the denominator, you have to do to the top (the numerator). Since you multiplied the denominator, 4, by 5 you have 20. Now you have to multiple the numerator by 5, which gives you 15 because 3 x 5= 15. Your final fraction should be 15/20
Do this process to the 1/5 fraction:
1/5
Multiply 5 x 4 to give you 20 since 20 is the common denominator. Now, you have to multiply the numerator, 1, by 4. Whatever you do to the bottom, you do to the top. 1 x 4= 4. Your final fraction should be 4/20
Now sum the fractions up:
15/20 + 4/20 = 19/20
The distribution of the amount of money in savings accounts for University of Miami students has an average of 1,100 dollars and a standard deviation of 1000 dollars. Suppose that we take a random sample of 24 University of Miami students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is
A. approximately Normal, with a mean of 1100 and a standard error of 204.12 B. not approximately normal C. Approximately Normal with an unknown mean and standard error D. approximately Normal, with a mean of 1100 and a standard error of 1000
Answers
A. approximately Normal, with a mean of 1100 and a standard error of 204.12.
This is because the Central Limit Theorem (CLT) states that the sampling distribution of the sample mean tends towards a normal distribution with a mean equal to the population mean and a standard error equal to the population standard deviation divided by the square root of the sample size.
In this case, the sample size is 24, so the standard error is 1000/sqrt(24) = 204.12. Therefore, the sampling distribution of the sample mean is approximately normal with a mean of 1100 and a standard error of 204.12.
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4(x - 3) - 3x = -7.
Answers
Answer:
x = 5
Step-by-step explanation:
4(x - 3) - 3x = - 7 ← distribute parenthesis by 4
4x - 12 - 3x = - 7 , collect like terms
x - 12 = - 7 ( add 12 to both sides )
x = 5
Explain the steps you use to solve the equation: 2(x-2) =26
Answers
Solution:
Simplify the distributive property and solve.
2(x - 2) = 26=> 2x - 4 = 26=> 2x = 26 + 4=> 2x = 30=> x = 15The solution to the equation is 15.
Your required solution :
Let us solve this equation..!!
Firstly multiplying 2 by (x - 2)
⇒ 2 × (x - 2) = 26
⇒ 2x - 4 = 26
On transposing -4 to R.H.S. it would be positive,
⇒ 2x = 26 + 4
⇒ 2x = 30
On dividing 30 by 2 we gets,
⇒ x = 30/2
⇒ x = 15
Therefore, value of x is 15.
| n | = 3.5 what are the values for n will make the expression true?
Answers
The given expression is,
\(\lvert n\rvert=3.5\)So we know that, the absolute value of a number is its distance from the origin, say 0. SInce the distance cannot be expressed in negative values, absolute values are always expressed as positive numbers. FOr example,
\(\lvert-x\rvert=\lvert x\rvert=x\)Therefore, the values that make the given expression true can be,
\(\lvert n\rvert=3.5\Rightarrow n=-3.5\text{ or n=3.5}\)what is air
what do we get from air
Answers
Answer:
air is a type of oxegen that we breath
Step-by-step explanation:
we get air from trees .
pls help I am so lost
Answers
Answer:
4 would be 36
Step-by-step explanation:
PEMDAS! <3
Answer:
50
36
0
Step-by-step explanation:
3x 10'4+ 2.5 x 10’5 =
Answers
Consider the following vector field.
F(x, y, z) =
9ex sin(y), 2ey sin(z), 8ez
sin(x)
(a)
Find the curl of the vector field.
curl(F) =
(b)
Find the divergence of the vector field.
div(F) =
Answers
The curl of the vector field
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
The divergence of the vector field
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.
(a) Curl of F:
The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, we have:
P(x, y, z) = 9ex sin(y)
Q(x, y, z) = 2ey sin(z)
R(x, y, z) = 8ez sin(x)
Taking the partial derivatives, we get:
∂P/∂y = 9ex cos(y)
∂Q/∂z = 2ey cos(z)
∂R/∂x = 8ez cos(x)
∂R/∂y = 0 (no y-dependence in R)
∂Q/∂x = 0 (no x-dependence in Q)
∂P/∂z = 0 (no z-dependence in P)
Substituting these values into the curl formula, we have:
curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k
= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
Therefore, the curl of the vector field F is given by:
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
(b) Divergence of F:
The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z
In this case, we have:
∂P/∂x = 9e^x sin(y)
∂Q/∂y = 2e^y sin(z)
∂R/∂z = 8e^z
Substituting these values into the divergence formula, we have:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
Therefore, the divergence of the vector field F is given by:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
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Which of the following is the complete list of roots for the polynomial function f (x) = (x squared 6 x 8) (x squared 6 x 13)? –3 2i, –3 – 2i –2, –4 –2, –4, –3 2i, –3 – 2i –2, –4, –3 2i, 3 2i
Answers
The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.
How to get the roots of the polynomial?Here we have the polynomial function:
\(f(x) = (x^2 + 6x + 8)*(x^2 + 6x + 13)\)
So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.
For the first one, we have:
\(x = \frac{-6 \pm \sqrt{6^2 - 4*8} }{2} \\\\x = \frac{-6 \pm 2}{2}\)
So the two solutions are:
x = (-6 - 2)/2 = -4
x = (-6 + 2)/2 = -2
For the second quadratic we have:
\(x = \frac{-6 \pm \sqrt{6^2 - 4*13} }{2} \\\\x = \frac{-6 \pm 4i}{2}\)
So the two solutions are:
x = -3 + 2i
x = -3 - 2i
Finally, the list is:
{-4, -2, -3 + 2i, -3 - 2i}
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Answer: C) –2, –4, –3 + 2i, –3 – 2i
Step-by-step explanation:
On Edg 2022
help with these two pages
Answers
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.
Explain about the square?Area of a square is measured in square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area (ft2)
A square is a common polygon with four equal sides and angles that are each 90 degrees in length.
A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. Then, each half of the square seems to be a rectangle with diagonal sides.
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the volume of this cone is 1,884 cubic millimeters. What is the radius of this cone? Use 3.14 and round your answer to the nearest hundredth
Answers
18 mm is the height of the cone.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
We can use the formula for the volume of a cone to solve for the height:
V = (1/3)πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we have:
1884 = (1/3)π(10²)h
Simplifying, we get:
h = 1884 / [(1/3)π(10²)]
h ≈ 18
Therefore, the height of the cone is approximately 18 mm.
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Complete question:
the volume of this cone is 1,884 cubic millimeters. What is the height of this cone when the radius is 10 mm? Use 3.14 and round your answer to the nearest hundredth
the area of rectangle is 297 sq cm if its length is increased by 3 cm and width decreases by 1 cm its area increased by 3 cm. sq. find the length and width of rectangle
Answers
The length and width of the rectangle are 12.5 cm and 22 cm, respectively.
Let L be the length of the rectangle, and W be the width of the rectangle, then we have that:
L x W = 297 sq cm 1.
If the length is increased by 3 cm and width decreased by 1 cm, then we have that:
(L + 3) x (W - 1) = 297 + 3 sq cm -......(2).
Expand equation 2, we have:
LW + 2L - W = 300 sq cm-.......(3)
We have two equations from 1 and 3:
LW = 297 sq cm LW + 2L - W = 300 sq cm 3.
Substitute equation 1 into equation 3.
297 + 2L - W = 300 sq cm
2L - W = 3 sq cm
2L - W = 3 sq cm
2L = W + 3 sq cm
L = (W + 3)/2 sq cm
W x (W + 3)/2 = 297 sq cm
W² + 3W - 594 = 0 (W + 27) (W - 22) = 0
Therefore, the width of the rectangle is either 22 cm or -27 cm. Since the width cannot be negative, we discard the value of -27 cm. Therefore, the width of the rectangle is 22 cm. Finally, let's calculate the length of the rectangle:
L = (W + 3)/2 sq cm L = (22 + 3)/2 sq cm L = 25/2 sq cm L = 12.5 sq cm
Therefore, the length and width of the rectangle are 12.5 cm and 22 cm, respectively.
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Can someone please give me the (Answers) to this? ... please ...
I need help….
Answers
Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
Shelly crane us a realtor she is paid a 3 percent commission on every house she sales. Her sales for the month of march were 95,900.00 129,650.00 and 378,420.00 what is shelly commision in march
Answers
Answer: 18119.10
Step-by-step explanation:
Shelly's commision in March will be calculated as:
= (3% × 95,900) + (3% × 129,650) + (3% × 378,420)
= (0.03 × 95900) + (0.03 × 129650) + (0.03 × 378420)
= 2877 + 3889.5 + 11352.6
= 18119.10
Her commission will be 18119.10
HELPPP!!!
what is the value of -1+(-4)?
what is the value of -1-(-4)?
explain your thinking.!!
Answers
Answer:-5
Step-by-step explanation:
-1+(-4)
=-5
normally -1(-4) is positive 5, but since the + is there, it cancels it out
-1-(-4)
=3
Use the information to answer the question.Point P is located at 16 on the number line, Point Q is located at -9 on the number line.What is the distance between Point P and Point on the number line? Enter the answer in the box.units
Answers
Answer:
25units
Explanation:
Given the following points on the number line
Point P at 16
Point Q at -9
Distance between the points = Point P - Point Q
Distance between the points = 16 - (-9)
Distance between the points = 16 + 9
Distance between the points = 25
Hence the distance between Point P and Point Q on the number line is 25units
бw + 3 – 10w = 7w – 8
Solve for w
Answers
\(6w + 3 - 10w = 7w - 8 \\ = > 6w - 10w - 7w = - 8 - 3 \\ = > - 11w = - 11 \\ = > w = \frac{ - 11}{ - 11} \\ = > w = 1\)
Answer1
Hope it helpsray4918 here to help
if I join the gym for a start up fee of $40 and a monthly fee of $10, what is the range?
Answers
= 30
Hope this helps
3) A lottery ticket says that the chances of winning are 1 in 8. Suppose you buy 10 of these lottery tickets. Find the probability that at least one of them will be a winner
Answers
The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.
The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:
(7/8)^10 = 0.362
This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:
P(at least one winner) = 1 - P(no winners)
P(at least one winner) = 1 - 0.362
P(at least one winner) = 0.638
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If charlie decides to ride her bike and goes 18 km west at a velocity of 0.13 km/s west, how long would it take her to reach her destination?
Answers
18/0.13 = 138.46 seconds.
3 5/6 + (-1 1/6)
plz help me with this.
Answers
Answer:
3 5/6 + (-11/6) --> 2 2/3
Step-by-step explanation:
Step 1: 3-1--> 2
Step 2: 5/6 - 1/6 --> 2/3
Final Answ. : 2 2/3
30 points look at picture
Answers
Answer:
linear and non-proportional
Step-by-step explanation:
1/45 \(\neq\) 1/30
2/60 = 1/30
Answer:
B linear & non proportional
Step-by-step explanation:
it DOESNT go thru 0,0
its a straight upward line
every point has the same rate
changes at a constant rate
x changed so does y
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Binary not linear
The first picture is the question code
The second picture is an answer from Chegg but not good
enough
Please help me
Copy and paste the full contents of your binary_finder module into the box below. NOTES that you must read! - Your code will not be fully marked until the quiz has closed. - You must check your code w
Answers
Based on the information provided, it seems that you are encountering some issues with a module called "binary_finder."
The phrase "content loaded" suggests that you have loaded some content, possibly related to this module. "Binary not linear" indicates that the nature of the content or code you're dealing with is binary, which means it consists of zeros and ones.
You mentioned having two pictures, one showing the question code and another displaying an answer from Chegg, which you find insufficient. However, the actual content of those pictures was not provided. If you can share the code or describe the specific problem you're facing with the binary_finder module, I'll be happy to assist you further.
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......................help
Answers
Answer:
50.528º
Step-by-step explanation:
tanA = BC/BA
tanA = 17/14
A = 50.528º
Solve for x. Each figure is a trapezoid. # 18 has a midsegment.
13)
Answers
Question 13
\({12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}\)
Question 14
Base angles of an isosceles trapezoid are congruent, so:
\(73x+1=74\\73x=73\\x=\boxed{1}\)
(ANSWER #17!)
PLEASE HELP!
Answers
The linear function y = -x + 2 is graphed at the end of the function.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we have that:
The y-intercept is of 2, hence b = 2.The x-intercept of 2 means that when y = 0, x = 2.The limits mean that the function is decaying, that is, the slope is negative.Then:
y = mx + 2.
When y = 0, x = 2, hence:
0 = 2m + 2
2m = -2
m = -1.
Then the function is:
y = -x + 2.
The function is graphed at the end of the answer.
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