The 2 triangles below are similar. Find the missing side. Use your notes to help you. In your answer, type out your proportion and the solution.
PLEASE HURRY !!
Answers
The length of side DF is 5 units.
Similar Triangles :If two figures possess the same shape but not necessarily the same size, they are considered to be similar. We may remark that all circles are similar as an example. Equilateral triangles and squares are similar to one another. Although similar figures need not be congruent, all congruent figures are similar.
Property 1:
Two triangles are similar if their respective sides have the same ratio and their corresponding angles are equal.
Property 2:
The corresponding angles of two similar triangles will have equal values . Equiangular triangles are what they are called.
Now by property 1,
The pairs of corresponding sides of similar traingles are proportional .
Therefore, in the given triangles,
[tex]\frac{BA}{ED} =\frac{AC}{DF}[/tex]
[tex]\frac{6}{3} =\frac{10}{x} \\\\x=5[/tex]
Hence, the value of x = 5 units.
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Related Questions
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
1
2345
y
4
-5
-14
-23
-32
Answers
The data in the table represents a linear function, as when x is increased by one, y is subtracted by a constant amount of 9.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For this problem, the function is classified as linear, as the difference between consecutive terms is 9, while the ratios are different.
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Mr. Kelso went shopping for school supplies. He purchased white boards for $0.79 each, sharpies for $1.56 each and glue sticks for $0.85 each and spent a total of $91.92. If he purchased five times the number of white boards as glue sticks and 10 more sharpies than glue sticks, how many of each item did he purchase?
Help please!
Answers
Answer:
Let's call the number of white boards that Mr. Kelso purchased "W", the number of sharpies "S", and the number of glue sticks "G". We know the following information:
W = 5G
S = G + 10
And we also know the total cost of the items:
0.79W + 1.56S + 0.85G = 91.92
We can use the first equation to substitute for W in the second equation:
0.79(5G) + 1.56(G + 10) + 0.85G = 91.92
Expanding and simplifying the equation:
4.95G + 1.56G + 16.6 + 0.85G = 91.92
7.36G + 16.6 = 91.92
7.36G = 75.32
G = 10.25
So Mr. Kelso purchased 10 glue sticks. Using the first equation, we can find that he purchased 5 * 10.25 = 51 white boards. And using the second equation, we can find that he purchased 10.25 + 10 = 20.25 sharpies.
Since the number of each item must be a whole number, we round up or down to the nearest integer. In this case, it would make sense to round up the number of sharpies to 21. So Mr. Kelso purchased 51 white boards, 21 sharpies, and 10 glue sticks.
What is the volume 
Answers
Answer:
12 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume is the length x the width x the height
The rectangle of the bottom would be
(4)(2)(1) = 8
The rectangle on the top would be
(1)(2)(2) = 4
8 + 4 = 12 [tex]in^{3}[/tex]
A verbal description of a linear function h is given. Express the function h in the form
h(x) = ax + b.
The graph of the linear function h has slope
8
9
and y-intercept 3.
h(x) =
Answers
The graph of the linear function h has slope the function h in the form
h(x) = 8x + 9.
What is a linear function?Straight lines make up the graph of linear functions. The following is the format of a linear function. y = f(x) = a + bx A linear function has a independent variable so one dependent variable.
What does the described linear function look like?As a result of the task's objectives, it is necessary to identify the linear expression that corresponds to the verbal description that has been provided.
Since f(x) = axe + b is the typical slope-intercept form of a linear function,
an is the slope (rate of change), and b is the y-intercept (initial value).
g = -12x + 100 is the necessary linear function, which is what has been presented.
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Assume a TCP sender is continuously sending 1,126-byte segments. If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, what is the utilization? Assume no errors, no processing or queueing delay, and ACKs transmit instantly. Also assume the sender will not transmit a non-full segment. Give answer in percentages, rounded to one decimal place, without units (e.g. for an answer of 10.43% you would enter "10.4" without the quotes).
Answers
If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, then the utilization is 0.4%.
What is Round trip time?
The round-trip time (RTT) is the time it takes from when a browser submits a request to when it receives a response from a server, measured in milliseconds.
The time it takes for a segment to be transmitted over the link is:
time per segment = 1,126 bytes / 10 Mbps = 0.00009008 seconds
The end-to-end propagation delay is 14.4 ms, or 0.0144 seconds.
The time it takes for an ACK to be sent back from the receiver is the propagation delay plus the time it takes for the ACK segment to be transmitted over the link:
time for ack = 0.0144 seconds + (1 segment / 10 Mbps) = 0.014508 seconds
The time it takes for the sender to receive an ACK after sending a segment is the time it takes for the segment to be transmitted, plus the time it takes for the ACK to be sent back:
round trip time = time per segment + time for ack = 0.00009008 + 0.014508 = 0.0145
The number of segments that can be in flight at any given time is the window size divided by the segment size:
segments in flight = 6,353 bytes / 1,126 bytes = 5.645 segments
We can now calculate the maximum sending rate of the sender by dividing the number of segments in flight by the round-trip time:
max sending rate = segments in flight / round trip time = 387.165 segments per second
The utilization of the link is the sending rate divided by the link rate, multiplied by 100 to get a percentage:
utilization = (max sending rate / 10 Mbps) * 100 = 0.00387165 * 100 = 0.387165%
Rounding to one decimal place, the utilization is 0.4%.
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For the transformation to be a translation, which statements are true? Select four options
Answers
Answer:
do it yourself
Step-by-step explanation:
Answer:
A. The transformation preserves distances and angles between points.
B. The transformation preserves the orientation of the figure.
C. The transformation involves a sliding of the figure in a fixed direction.
D. The transformation results in a change of size or shape of the figure.
E. The transformation results in a reflection of the figure.
For the transformation to be a translation, statements A, B, C and E are not true, while statement D is true.
Step-by-step explanation:
An office block has five floors (ground, 1, 2, 3 and 4), all connected by a lift. When it goes up
to any floor (except 4), the probability that after it has stopped it will continue to rise is 3/4.
When it goes down to any floor (except the ground floor), the probability that after it has
stopped it will continue to go down is 1/4. The lift stops at any floor it passes.
The lift is currently at the first floor having just descended. Calculate the probability of
these events.
a Its second stop is the third floor.
b Its third stop is the fourth floor.
c Its fourth stop is the first floor.
Answers
Answer:
Step-by-step explanation:
a) The second stop is the third floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the second floor (which is the first floor in this scenario) to the third floor is 3/4.
The probability of both events happening is the product of the individual probabilities: (3/4) * (3/4) = 9/16.
b) The third stop is the fourth floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.
The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.
The probability of all three events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) = 3/16.
c) The fourth stop is the first floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.
The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.
The next stop is the first floor, so the probability of going down from the fourth floor to the first floor is 3/4.
The probability of all four events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) * (3/4) = 9/64.
A curve is defined by the implicit equation X³ + X²Y + 4Y² = 6.
Find the value of day/dx when X = 1 and when Y = 1.
Answers
Find the value of day/dx when X = 1 and when Y = 1. I would like to answer correct but Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.
What is the solution set to 8(2x-3) ≤ 20-4*?
O (-00,00)
O(-00, 2]
O (0,20)
O [2,00)
Answers
The solution set to the given inequality is (−∞, 2.5].
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is 8(2x-3) ≤ 20-4.
Here, 8(2x-3) ≤ 16
Divide 8 on both the sides of an inequality, we get
2x-3≤2
Add 3 on both the sides of an inequality, we get
2x≤5
Divide 2 on both the sides of an inequality, we get
x≤2.5
Convert the inequality to interval notation.
(−∞, 2.5]
Therefore, the solution set is (−∞, 2.5].
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Complete the sentence below.
2570 is ten times smaller than?
Answers
Answer:
2570 is ten times smaller than 25700
Step-by-step explanation:
Find the peremiter of these triangles with step by step solutions plss. Thanks!
Answers
25+25=50,4+4=8;50+8=58
write an absolute value inequality for each length x with the given tolerance
1. a length of 4.2 cm with a tolerance of 0.01 cm
2. a length of 3.5 cm with a tolerance of 0.2 cm
show work pls
Answers
The absolute value inequalities for the different lengths are
1) 4.19 ≤ x ≤ 4.21
2) 3.3 ≤ x ≤ 3.7
What is an absolute value inequality?
The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.
An expression using absolute functions and inequality signs is known as an absolute value inequality. One example of an absolute value inequality with a larger than symbol is the statement |x + 3| > 1.
1) length x = 4.2 cm with a tolerance of 0.01 cm
Absolute value inequality is:
|x - 4.2| ≤ 0.01
This can be written as:
x - 4.2 ≤ 0.01x ≤ 4.21
x - 4.2 ≥ - 0.01x ≥ 4.19
2) length x = 3.5 cm with a tolerance of 0.2 cm
Absolute value inequality is:
|x - 3.5| ≤ 0.2
This can be written as:
x - 3.5 ≤ 0.2x ≤ 3.7
x - 3.5 ≥ - 0.2x ≥ 3.3
Therefore the absolute value inequalities for the different lengths are
1) 4.19 ≤ x ≤ 4.21
2) 3.3 ≤ x ≤ 3.7
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Use the formula V = ²h, where r is the radius and h is the height, to find the volume of the inside of this cylindrical pipe in terms of pi.
Answers
Answer:
Below
Step-by-step explanation:
r = 1/2 diameter = 4 x^2 y^2
Volume = pi r^2 h =
pi (4 x^2 y^2 )^2 * ( 12 x^2 y^2 ) =
16 x^4 y^4 * 12 x^2 y^2 * pi
= 192 x^(4+2) y^(4+2) pi
= 192 x^6 y^6 pi
Feb 10, 11:39:26 AM
Solve for x. Round to the nearest tenth of a degree, if necessary.
to
1.6
H
1.2
Answers
The solution is, x =48.6
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
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Find the perimeter of the figure.
Answers
Answer:
Step-by-step explanation:
its 11
ignore bllllllllllldjbjddddddddddddddddddddddddd
The wheel of a car has an outer radius of 25 cm. Calculate: a how far the car has travelled after one complete turn of the wheel, b how many times the wheel turns for a journey of 1 km.
Answers
Answer: a) 1.57 m .
b) 637.79 turns
Step-by-step explanation:
a) The circumference of the wheel can be used to determine how far the vehicle has travelled after making one full turn.
Circumference = 2πr = 50π
C = 157 cm
b)By dividing the entire distance traveled by the diameter of the wheel, we can determine how many times the wheel will turn over a ride of 1 km (1000 meters): 1000 m / 1.57 m = 637.79 turns.
Write a couple of paragraphs describing how you can determine the values of x that a) make
the rational function 0, and b) the values of x where the rational function is undefined:
f(x) = x²-2x+1
4x+5
Answers
The required paragraphs regarding with given expression f(x) = x²-2x+1/4x+5 have been explained later in the section.
A rational expression is a fraction in which the numerator and denominator are polynomials.
Here,
a) To determine the values of x that make the rational function f(x) equal to 0, we need to solve the equation:
x² - 2x + 1 = 0
Next, we can factor the quadratic on the left-hand side of the equation:
(x - 1)(x - 1) = 0
The quadratic is a perfect square, and we can see that it is equal to 0 when x = 1. So, the value of x that makes the rational function 0 is x = 1.
b) To determine the values of x where the rational function f(x) is undefined, we need to look for values of x that would make the denominator, 4x+5, equal to 0. If the denominator is equal to 0, then we would be dividing by 0, which is undefined.
So, we set the denominator equal to 0,
4x + 5 = 0
4x = -5
x = -5/4
Therefore, the value of x where the rational function is undefined is x = -5/4.
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William is 6 years older than Camila. Nine years ago he was twice Camila’s age. How old is he now?
Answers
The solution is, he is now 21 yrs old.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
William is 6 years older than Camila.
Nine years ago he was twice Camila’s age.
let, he is now = x yrs
Camila’s age = y yrs.
so, we get,
x-y = 6 .....(1)
and, x-9 = 2(y-9) ....(2)
solving we get,
x-9 = 2(x-6-9)
or, x = 21
Hence, The solution is, he is now 21 yrs old.
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create a table of values to represent the total cost if ben orders 1 or 2 books or spends 41$, $65 OR $125
Answers
The table to represents the total cost for the different numbers of books ordered is:
Number of books Spending Total cost
1 $41 $44
2 $65 $71
3 $125 $134
What is an expression?An expression is written with one or more terms with addition, subtraction, multiplication, and division.
Example:
2.2 + 3x + 4y = 7 is an expression.
3 + 5x = 9 is an expression.
We have,
The book cost = $3
Now,
Spendings = $41, $65, or $125
Now,
Table:
Number of books Spending Total cost
1 $41 41 + 3 = $44
2 $65 65 + 6 = $71
3 $125 125 + 9 = $134
Thus,
The table for the total cost is given above.
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Here are the first four terms of a number sequence.
2 7 12 17
Here are the first five terms of another number sequence.
-4 -1 2 5 8
Find two numbers that are in both number sequences.
Answers
Two numbers that are in both sequences are the numbers 17 and 32.
What is a sequence?A sequence can be described as a set of numbers each with a defined interval between one another. For example, in the sequence 2, 4, 6, 8, 10, the interval is 2.
What numbers do these sequences have in common?To find two common numbers, let's expand the sequences as it is shown below:
First sequence: In this sequence, the interval is 5.
2 7 12 17 22 27 32
Second sequence: In this sequence, the interval is 3.
-4 -1 2 5 8 11 14 17 20 23 26 29 32
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5 Practice
6a of 6
Question 6a
If a truck carrying 3 tons of wheat unloads 1, 000 pounds, what is the weight of the
wheat still in the truck?
Answers
Answer: the weight of the wheat still in the truck is 5000 pounds.
Step-by-step explanation:
Here are the steps to calculate the weight of the wheat still in the truck:
Convert the weight of the unloaded wheat to tons. To convert from pounds to tons, divide by 2,000:
1000 lbs / 2000 lbs/ton = 0.5 tons
Subtract the weight of the unloaded wheat from the original weight:
3 tons - 0.5 tons = 2.5 tons
Convert the answer back to pounds:
2.5 tons * 2000 lbs/ton = 5000 lbs
Therefore, the weight of the wheat still in the truck is 5000 pounds.
Two draws are made at random without replacement from a box containing the following five tickets:
1 2 3 4 3
What is the probability that the sum of the tickets is 5?
in %
Answers
The probability that the sum of the ticket is 5, expressed as a percentage is 30%
What is the probability that an event will occur?The probability that an event will occur can be found by the ratio of the number of times the event occurs to the number of all possible events.
The five tickets in the box = 1, 2, 3, 4, 3
The tickets that sum to 5 are; 1 and 4, 2 and 3
The probability that the first ticket picked is 1 = 1/5
The probability that the next ticket picked is a 4 = 1/(5-1) = 1/4
Therefore, the probability of picking a 1 and 4 = (1/5) × (1/4) = 1/20
Similarly, the probability of picking a 4 and then a 1 is 1/20
The probability of picking tickets with numbers 1 and 4 in either order therefore = 2 × 1/20 = 1/10
The probability that the first ticket drawn is 2 = 1/5
The probability that the next ticket picked is a 3 = 2/(5-1) = 1/2
Therefore, the probability to draw a 2 and 3 = (1/5) × (1/2) = 1/10
The probability that the first ticket picked is 3 = 2/5
The probability that the next ticket picked is a 2 = 1/(5-1) = 1/4
Therefore, the probability of picking a 3 and 2 = (2/5) × (1/4) = 2/20 = 1/10
The probability of picking a 2 and a 3 in either order is therefore;
1/10 + 1/10 = 2/10 = 1/5
The probability that the sum of the ticket is 5, is the sum of the probabilities of picking a 1 and a 4 and the probability of picking a 2 and a 3, which is; 1/10 + 1/5 = 3/10 = 0.3
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I can’t figure out this other one, can I get some help?
Answers
place g(x) as the value x, into p(x)
to gain p(g(x)) = (1 / SqrRt(x) )² - 4
simplify = ( 1 / x ) - 4
find domain
x =/= 0 (undefined) & (1/4)
Please help bro I need help solving this polynomial and terms
Answers
The expression represents a quintic polynomial with 4 terms. The constant term is -6, the leading term is x⁵/2, and the leading coefficient is 1/2.
What is a polynomial expression?A polynomial expression is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.
From the polynomial expression given:
[tex]\dfrac{1}{2}x^5 - 6 - x^4 -5x^2[/tex]
The degree of a polynomial is the highest degree of its terms which helps us to determine the type of polynomial (quintic polynomial). The constant term is -6.
The leading term in a polynomial is the term with the highest degree = x⁵/2. The leading coefficient of a polynomial is the coefficient of the leading term is 1/2.
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Answer:
quadrinomial, 4, -6, 1/2x^5, 1/2
Step-by-step explanation:
quadrinomials are polynomials with 4 terms
constant is the number with no variable
leading term is the term at the beginning
leading coefficient is the number at the beginning
The number of candies sold can be determined by the equation: T = 0.3c,
where T is number of candies and c is the number of children. Find the
constant of proportionality.
Answers
The constant of proportionality in the equation is 0.3.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
WE are given that number of candies sold can be determined by the equation: T = 0.3c, where T is number of candies and c is the number of children.
0.3 = constant of proportionality
0.3 = p / n
which is the ratio of p to n
The constant of proportionality is the ratio between the two quantities that are directly proportional.
Therefore,
0.3 is the constant of proportionality in the equation.
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Q. On Fridays at the ballpark, a cup of soda costs $4, and each refill costs $0.80. If x represents the number of refills, which of the following equations represents the amount a person spends on soda?
A. y = 0.8x + 4.8
B. y = 4x + 4.8
C. y = 4x + 0.8
D. y = 0.8x + 4
Answers
Answer:
The correct answer is D.
Step-by-step explanation:
D. y = 0.8x + 4.
can someone help me please fast
Answers
The graph should have a y-intercept of 4. Graph A is the only one with a y-intercept of 4.
HELP ASAP WILL GIVE BRAINLIEST
The system of linear equations 3x + 2y = -4 and y=x+1 is graphed on a coordinate plane. Approximate the solution to the system.
7
3
(-1.5, 0.25)
(-0.5, 0.75)
(1.5, 0.25)
(-2.5, 1.5)
4
3
2
-2 1 0
-1
-2
-3
-4
-5
1
.
2
32
4
5
Answers
Answer:yo no se como ablar ingles
Step-by-step explanation: perdoname
Write an equation for the function graphed
Answers
Answer:
y = |x - 3| - 1
Step-by-step explanation:
The vertex of the absolute value function graphed is (3, -1). The formula for absolute value is y = a |x - h| + k, where (h, k) is the vertex. The a stretches the graph, although this graph isn't stretched. So a is 1, which is the same as multiplying by 1. Plugging 3 as h and -1 as k into the formula results in y = |x - 3| - 1.
Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower
class limits, and the upper class limits.
minimum = 10, maximum = 68, 7 classes
The class width is ?
The lower class limits are ?
The upper class limits are ?
Answers
Answer:
Step-by-step explanation:
213232131123123123123123
1. To find the class width, we first need to find the range of the data, which is the difference between the maximum and minimum values: 68 - 10 = 58. Then, we divide the range by the number of classes to get the class width: 58 / 7 = 8.29. However, we will round up to the nearest whole number, so the class width is 9.
2. The lower class limits are 10, 19, 28, 37, 46, 55, and 64, since we add the class width to the lower limit of each previous class to find the lower limit of the next class.
3. The upper class limits are 18, 27, 36, 45, 54, 63, and 68, since we add the class width to the lower limit of each class to find the upper limit of that class.
