What is the value of x and the length of segment DE?
1. 5/9= 9/(2x+3)
2. 10x + 15 = 9(9)
x=?
length of de=?
Answers
Answer:
[tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]
Step-by-step explanation:
The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.
Given
[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]
Required
Find x
Length of DE
To find x, we need to first simplify the given equation
[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]
Multiply both sides by [tex]9(2x+3)[/tex]
[tex]\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)[/tex]
[tex]5(2x + 3) = 9(9)[/tex]
[tex]10x + 15 = 81[/tex]
Subtract 15 from both sides
[tex]10x + 15 - 15 = 81 - 15[/tex]
[tex]10x = 66[/tex]
Divide both sides by 10
[tex]\frac{10x}{10} = \frac{66}{10}[/tex]
[tex]x = \frac{66}{10}[/tex]
[tex]x = 6.6[/tex]
From the attached;
[tex]DE = 2x + 3[/tex]
Substitute 6.6 for x
[tex]DE = 2(6.6) + 3[/tex]
[tex]DE = 13.2 + 3[/tex]
[tex]DE = 16.2[/tex]
Hence [tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]
Answer: 6.6 for the first x
Length of DE is 16.2
Also these are correct!
Step-by-step explanation:
I just put it in
Related Questions
If the length of LM is 8 units, what is the length of KJ?
Answers
Answer:
4 units
Step-by-step explanation:
The length of KJ will be 4 units because KJ is radius and radius is half of diameter.
that is
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How long was Anthony's family gone? Complete the explanation of how the answer can be found. To find the answer, count hour(s) from 5:05 to 6:05. Then count minutes to 6:35. Then count minutes to 6:45 and minutes to 6:51. I add them all up to get that the Anthony's family was gone hour(s) and minutes. Anthony's family went out to dinner. They left at the time shown on the clock. They returned home at 6:51 P.M.
Answers
Answer:
Thus, the Anthony's family were away for 1 hour 46 minutes
Step-by-step explanation:
We are being told that Anthony's family went out to dinner and they left at the time shown on the clock (i.e 5;05 P.M) and they returned home at 6:51 P.M.
We are to calculate how long was Anthony's family gone
We all know that:
60 seconds = 1 minute
60 minutes = 1 hour
So from 5:05 to 6:05 = 60 minutes
From 6:05 to 6:35 = 30 minutes
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From 6:45 to 6:51 = 6 minutes
Therefore ; to deduce how long was Anthony's family gone; we will have to sum up the values of the minutes from the above time- frames up;
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Thus, the Anthony's family were away for 1 hour 46 minutes
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Answers
Answer:
98
Step-by-step explanation:
Let b = the total number of boxes
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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(if you wouldn’t mind can you mark me brainliest?)
Evaluate the logarithm. Round your answer to the nearest thousandth. 7 ( 25 ) ≈ log7(25)≈log, start base, 7, end base, left parenthesis, 25, right parenthesis, approximately equals
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Answer:
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Step-by-step explanation:
Plugged in the calculator
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Answers
Answer:
The answer is:
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Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
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Triangle ABC is rotated 180º using the origin as the center of rotation. On a coordinate plane, triangle A B C has points (negative 4, negative 3), (negative 5, negative 2), (negative 3, negative 2). Triangle A prime B prime C prime has points (4, 3), (5, 2), (3, 2). Which sequence of transformations will produce the same result? a translation up 4 and then a reflection over the y-axis a translation up 4 and then a translation right 6 a reflection over the x-axis and then a reflection over the y-axis a translation right 6 and then a reflection over the x-axis
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Answer:
I just took the test on edge. The correct answer would be option C
Step-by-step explanation:
Hope this helped!
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Thus option C that is a reflection over the y-axis.The A, B, C as a prime number of points (4, 3), (5, 2), (3, 2). The triangle is formed by the sequences of formations and transformations that will give out.
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brainly.com/question/20192008
WILL MARK BRAINLIEST!!!! Which highlighted word in the passage has connotations that create a calm tone?
Answers
The answer is A) Napping
Answer:
C -- Naping
Step-by-step explanation:
Napping has more of a calm tone than the other words.
Plz click the Thanks button!
<Jayla>
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Addition
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Step-by-step explanation:
PEMDAS stands for the procedure you take when solving an equation
Answer:
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If a car travels at 40km/hr for 4 hours, how much distance has it covered?
Answers
If a car travels at 40 km/hr for four hours, it will have covered 160 km. A line or line segment's length between two points along the line or line segment
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Then,
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Hence, If a car travels at 40 km/hr for four hours, it will have covered 160 km.
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Answers
Answer:
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and x^10
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when the base is the same you add the exponents (the numbers on top) so look above to see that they are just adding
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Answers
Answer:
rolling a number less than 4=
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so 1/2*100=50%
I hope I was able to help
Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?
Answers
Answer:
I think its 66
Step-by-step explanation:
Since if you draw it out properly F would be opposite of H.
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Answers
We apply our knowledge in variation.
The solution can be seen in the photo
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Answers
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the 3 rectangular faces (sides of the box) are rectangles,
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Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.
The total lateral surface area for the 3 rectangular sides of the box is
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the surface area of each triangular face is
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The surface area of the two triangular faces adds up to
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The total surface area for the box is
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NOTE:
The answer above is the one your teacher wants,
but there is a problem with this problem.
An equilateral triangle with sides measuring 4.5cm
would have a height of approximately 3.9cm.
The Pythagorean theorem says so.
However, the 4.0cm value makes the calculations easier.
Answer:
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If each of the edges of the triangular base measures 4.5cm,
and the length (the height) of the prism is 22.5cm,
the 3 rectangular faces (sides of the box) are rectangles,
22.5cm long and 4.5cm wide.
Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.
The total lateral surface area for the 3 rectangular sides of the box is
3(101.2 square centimeters)=303.75 square centimeters.
If the triangular faces of the box are triangles
with a base measuring 4.5cm and a height measuring 4.0cm,
the surface area of each triangular face is
(1/2)(4.5cm)(4.0cm)=9 square centimeters.
The surface area of the two triangular faces adds up to
2(9 square centimeters)=18 square centimeters.
The total surface area for the box is
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and that rounds up to highlight 322 square centimeters.
Step-by-step explanation:
A town has a population of 1,000 people. The population triples every 100 years. Which equation and graph show the number of years, y, in hundreds, as a function of the population, p, in thousands?
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Math question need help please
I’ll mark you as brainliest
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Answer:
Original: $733 million
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Step-by-step explanation:
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127 + 733 = 860
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NEEED HELP ASAPPPP !!
Answers
Answer:
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Step-by-step explanation:
If you use the vertical line test, you can see that in all the other graphs theres 2 points on a line, the 3rd one is the only one where each point doesn't share a vertical line with any other points. :)
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Step-by-step explanation:
X - Y
2 -5
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PLEASE HELP!! Due today!! - The graph below represents the height of a football pass, in feet, x seconds after the ball is thrown. Which of the following best describes the interpretation of f(2)?
Someone said it was d..... but I think it’s either b or c .... so now I’m confused :(
If someone can help me they will get 20 points!! You may get brainliest!! Pls help!
(Attached are the graph and answer choices)
Answers
Answer:
The answer is B
I'm stuck on the last question of my maths test online. Please help!
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angle CAX = 54° (180-72-54) (Alternate angle)
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25, 36, 49, 64, 81
Step-by-step explanation:
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What is the surface area of the triangular prism?
Answers
Answer
Step-by-step explanation:
The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h.
Answer:
it should be 35 let me know if I am wrong
Step-by-step explanation:
Please help! Correct answers only please!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a prime number and then picking a prime number?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
1/6
Step-by-step explanation:
There are 4 cards, 2 of which are primes
P(prime) =number of primes/total
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Keep the card, now we have 3 cards, 1 of which is a prime
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= 1/3
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An artist uses 60 pounds of clay to make 80 bowls. The ratio of pounds of clay she uses to the number of bowls she makes is a proportional relationship. Select all the true statements.
Answers
Answer:
With the given information we can find the unit rate at least
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Answers
Answer:
989 square inches
Step-by-step explanation:
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Step-by-step explanation:
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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answers
Step 1) Use the area formula to find the length of the radius
A = (3.14 x r^2) / 4
3.14 = (3.14 x r^2) / 4
12.56 = 3.14r^2
r^2 = 4
r = 2 feet
Step 2) Use the perimeter formula to find the perimeter
C = ((pi x 2r) / 4) + 2r
C = ((3.14 x 4) / 4) + 4
C = (12.56 / 4) + 4
C = 3.14 + 4
C = 7.14 feet
Hope this helps! :)