Answers
Given:
[tex]\Delta DE F\sim \Delta DST[/tex]
[tex]DE=40, EF=4x-4,DS=10,ST=11[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\Delta DE F\sim \Delta DST[/tex]
The corresponding sides of the similar triangles are proportional.
[tex]\dfrac{DE}{DS}=\dfrac{EF}{ST}[/tex]
On substituting the given values, we get
[tex]\dfrac{40}{10}=\dfrac{4x-4}{11}[/tex]
[tex]4=\dfrac{4x-4}{11}[/tex]
Multiply both sides by 11.
[tex]4\times 11=4x-4[/tex]
[tex]44=4x-4[/tex]
Add 4 on both sides.
[tex]44+4=4x[/tex]
[tex]48=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{48}{4}=x[/tex]
[tex]12=x[/tex]
The value of x is 12. Therefore, the correct option is D.
Related Questions
Answer please to the best of your ability
Answers
Answer:
1.8 m
Step-by-step explanation:
h(T)=-9.8T^2+20T+1
just replace the T with 2
h=-9.8(2^2)+20(2)+1
-9.8×4+40+1=1.8m
1.8m
find the value of the variables
Answers
Answer:
x = 50 degrees
y = 105 degrees
Step-by-step explanation:
to find y, take 75 and subtract it from 180:
180 - 75 = 105
y = 105 degrees
to find x, take 180 and subtract 75:
180 - 75 = 105
then, subtract 5 from 105:
105 - 5 = 100
next, divide 2 from 100:
100 / 2 = 50
x = 50 degrees
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
Answers
Answer:
4 weeks at 150$
Step-by-step explanation:
What number is the the value of the digit 7 one hundred times as much as the value of the digit in 532,736 A)27,038 B). 73,645 C).124,743 D) 736,942
Answers
I dont know sorry
Step-by-step explanation:
6) Gurwinder is making naan bread.
The recipe requires ¾ cup of flour and 1 ⅛ teaspoons of salt.
Gurwinder wants to make the recipe using 1 cup of flour.
To maintain the ratio, how much salt is required when 1 cup of flour is used?
A 2732 teaspoon B 23 teaspoon C 112 teaspoon D 178 teaspoon
6) Gurwinder is making naan bread.
The recipe requires ¾ cup of flour and 1 ⅛ teaspoons of salt.
Gurwinder wants to make the recipe using 1 cup of flour.
To maintain the ratio, how much salt is required when 1 cup of flour is used?
A 2732 teaspoon B 23 teaspoon C 112 teaspoon D 178 teaspoon
Answers
Answer:
1 1/2 teaspoon of salt is required
Step-by-step explanation:
The recipe requires 3/4 cup of flour and Nick wants to make the recipe using 1 cup of flour.
The recipe requires 1 1/8 teaspoon of salt and Nick wants to know how much salt he heeds.
Consider short description:
3/4 cup of flour - 1 cup of flour,
1 1/8 teaspoon of salt - x teaspoon of salt.
Mathematically, you can wrte a proportion:
3/4 = 1 / x
1 1/8
Then
3/4 * x = 1 x 1 1/8,
3x/4 = 9/8,
3x x 8 = 4 x 9,
24x = 36,
x = 36/24 = 3/2 = 1 1/2
1. Joshua has a ladder that is 14 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Answers
Answer:
Step-by-step explanation:
θ is the angle the ladder makes with the ground.
θ = arcsin(13.8/14) ≈ 80.3° > 78°
The ladder is not safe at that height and angle.
owen finds a rock that has some gold in it . The rock has a mass of 125 grams. He moves the gold , which is 18% of the mass of the rock . How much gold , which is 18% of the mass of the mass of the rock . How much gold does he have ?
Answers
Answer:
102.5
Step-by-step explanation:
125-18% or 125/1-18/100
Owen has 102.25 gm of gold.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
We have,
The rock has a mass of 125 grams.
So, the 18% of mass of rock is
= 125 - 18% of 125
=125 - 18/100 x 125
= 125 - 2250/100
= 125 - 22.5
= 102.25
Learn more about Percentage here:
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Joey is making accessories for the soccer team he uses 756.23 inches of fabric on headbands for 43 players and 4 coaches he also uses 367.22 inches of fabric on wrist bands for just the players how much fabric was used on a headband and wristband for each player
Answers
Answer:
wristband = 8.54 inches
headband = 16.09 inches
Step-by-step explanation:
total fabric was used on a headband and wristband for each player = fabric used for wristband + fabric used for headband
Fabric used for wristband per player = total fabric used for wristband / number of players
367.22 / 43 = 8.54 inches
To find the fabric used per player for the headband , divide 756.23 by 47
756.23 / 47 = 16.09 inches
A cube-shaped box has a volume of 27 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the
box?
Answers
Answer:
9 along one side.
Step-by-step explanation:
This question may be a bit tricky.
The side should mean the entire side, not just along the bottom edge.
The bottom row will have three 1-inch cubes. Three more in a middle row, and three more on top of that. That is a total of nine on that side.
Which graph can be defined by the function
y=-3x + 2?
Answers
Answer:
B
Step-by-step explanation:
The second graph is the correct choice because the y-intercept is two, the graph is negative, and has a slope of m=3/1.
Just read this over to see if this sounds good. It's my intro paragraph. Give me some insight if I need to change anything. Honest opinions please
People of the past and present judge each other by their class. This could relate to how much wealth they have as well as their social class or economic status. These judgments separate us as a society, and we live our lives around these judgments. Class, in simple words, is a group of people or things categorized by the quality and economic status. This relates to the novel The Great Gatsby by some of the characters in the novel, such as Tom and Daisy Buchanan who are sardonic and in love with material luxury.
·
Daisy Buchanan is a beautiful, charming woman from Louisville, Kentucky. For a while, she was with Gatsby before he went to war but later married Tom Buchanan because he had a promised wealthy life that he could provide her. In the novel, during the reunion at Daisy's house in the east egg, "'You make me feel uncivilized, Daisy,' I confessed on my second glass of corky but rather impressive claret. 'Can't you talk about crops or something?'" Nick's statement shows the wealthy class of the east egg and how Daisy flaunts her wealth to everybody instead of enjoying the people around her.
Answers
Answer:
This is amazing great job
Step-by-step explanation:
Solve for x.
(Will be marked the brainliest for sure)
Answers
Answer:
15
Step-by-step explanation: if you look at 8 compared to its counterpart of 24 youll see the ratio is 1:3 and so you just multiply 5 by 3 tp get 15
27 × 1/100 as a fraction
Answers
Answer:
27/100 is the fraction
Step-by-step explanation:
Just simplify the expression
Answer:
27/100
Step-by-step explanation:
1 27 27
----- x ---- = -----
100 1 100
What point is a reflection of (-4, -9) across the x-axis?
Answers
Look at the image below
Answers
Answer:
your answer will be 12
Step-by-step explanation:
[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]
have a nice day ^_^
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
∠B=∠E
7x+10=947x=94-107x=84x=8yx=8y/7x=12------------------
∠A=∠D
42=4x-64x=6+424x=48x=48/4x=12⭒☆━━━━━━━☆⭒
hope it helps...
have a great day!!
Which statement is true of discrete data?
It can only have certain values.
It is used in bar graphs.
It can be any value within a range.
It is used in line graphs.
Answers
Answer:
The first 2 statements are true.
Step-by-step explanation:
GUYS PLS HELPPP ME!!!!
Answers
Question 1 of 25
Which of the following is equal to the expression below?
(5-672
O A
A.
O B. -54
O c.
O D. -512
Answers
Answer:
D -512
Step-by-step explanation:
All you have to do is just multiply the exponents and you are done.
Hope this helps
The number line model may be used to simplify which of the following?
–1 + 2 = 1
–1 + 2 = –3
–1 + 2 = –1
–1 + 2 = 3
Answers
HI PLS HELP
x^2 - 6x + ___ = ( _____ )^2
Select one:
a. 9; x + 3
b. 9; x - 3
c. -6; x + 6
d. -6; x - 6
Answers
Answer:
Hello
Step-by-step explanation:
Answer:
B. 9; x-3
Hope this helps!
Mattie Evans drove 250 miles in the same amount of time that it took a turbo propeller plane to travel 1250 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane.
Answers
Answer:
250 mph
Step-by-step explanation:
Speed of car = Distance / Time =
The speed of the plane was 200 mph faster than the speed of the car.
Speed of car = X mph
Speed of plane = 200 + X mph
Evans drove 250 miles in the same amount of time...
Speed = Distance / Time
Time = Distance / Speed
T = 250 / X ........(i)
same amount of time that it took a turbo propeller plane to travel 1250 miles.
Time = Distance / Speed
T = 1250 / (200 + X) .......(ii)
Substitute the value of T in eqn (i) to eqn (ii)
250 / X = 1250 / (250 + X)
250 (200 + X) = 1250 X
50000 + 250 X = 1250 X
1250 X - 250 X = 50000
1000X = 50000
X = 50000 / 1000 = 50
Speed of plane = 200 + X mph = 200 + 50 = 250 mph
100 points
b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer. (2 points)
c) Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure. (2 points)
d) Which is a better measure of spread: range or interquartile range? Why? (2 points)
e) What does the value of the mean absolute deviation tell you about the spread of the data? (2 points)
Answers
Answer:
What the absolute deviation tells me about the spread of data is, that there is a deeper mean to the mean. First you have to find the actual mean. Next, you find the mean for the lower and upper quartiles. After that, you have to find the absolute deviation for the lower and upper quartiles.
Step-by-step explanation:
I really hope this helps!
(Also this answer is for Part E)
Answer: A) The histogram is skewed left meaning that the median will be more than the mean of the data. As the study goes onward in terms of age, more and more children are studied to play at least an hour a week of video games. Barley any children below the age of 5 play video games for at least an hour a week, but once they hit the age of 6, more and more kids are playing video games. Kids aged fifteen to seventeen have the most amount of kids that do play at least an hour of video games per week. In a graph, this may show a J-shaped curve that starts low, then has a large increase to eventually level off and begin gradually getting larger as the ages increase.B) The following statement, “Children are typically introduced to video games between the ages of six to eight” is a true statement. The graph shows that a very small percentage of children from birth to five years old play video games, but suddenly, once they have turned 6, there is practically a 60% increase in how many kids are playing video games one hour a week. It is from the age 6 that the kids start off and are introduced to the video games, as more and more kids end up playing as well as the grow older.c) Knowing that five hundred families that lived in varied cities were randomly surveyed for this data, then it is possible to make a valid conclusion. To make accurate and valid conclusions, the data should be a good representation of the overall population, one that is large and random. The data collected was not all from one specific area, and instead was from a large sample size from different cities are regions all over. This was also done randomly, and did not only focus on people more or less likely to play video games. This means that it is possible to make valid conclusions.
Step-by-step explanation: hope this helps
please help it's due by the end of class
Answers
Answer: 20% (0.2)
Step-by-step explanation:
if you multiply 15 • 0.2 you get 3 which you then add to 15 to get 18
A right rectangular pyramid is sliced by a plane that is perpendicular to the base of the pyramid.
Which of the following shapes could result from the slicing?
triangle
O rectangle
O square
O pentagon
Answers
A triangle is obtained when a right rectangular pyramid is sliced by a plane that is perpendicular to the base of the pyramid.
A rectangular pyramid is a three-dimensional object with a rectangle base and a triangular face corresponding to each of the sides of the base.
Cross - sections perpendicular to the base and through the vertex will be triangles. A triangle is obtained as a right rectangular pyramid is sliced by a plane that is perpendicular to the base of the pyramid.
For more information:
https://brainly.com/question/13057463?referrer=searchResults
I need help on this. Can someone explain it?
Answers
Answer:
noooooooooooooooooooooo
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond
Find the rate of change between (3, 8) and (6, 26)
Answers
Answer:
6
Step-by-step explanation:
The slope m between the 2 points is a measure of the rate of change.
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)
m = [tex]\frac{26-8}{6-3}[/tex] = [tex]\frac{18}{3}[/tex] = 6
Then rate of change is 6
The ___________________________ of an object is how heavy the object is
Answers
Answer:
Mass
Step-by-step explanation:
Answer:
the answer is weight.
Step-by-step explanation:
hope this helps!! please mark brainliest.
Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.
Which of the following rotations is equivalent 270° clockwise rotation about the origin?
clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°
Answers
A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.
Answer:
counterclockwise 360°
Step-by-step explanation:
which expression has a constant of 5?
Answers
Answer:
A
Step-by-step explanation:
Find the slope of a line perpendicular to the line with the equation, 6x + 2y = 24
Answers
Answer: 1/3
Step-by-step explanation:
6x + 2y = 24
2y= -6x + 24
y = -3x + 12
Perpendicular slope is opposite reciprocal
= 1/3