In right triangle ABC shown to the right, the lengths of AB, BC, and BE are 20, 15, and 6, respectively. What is the length of DE?
Answers
Answer:
12
Step-by-step explanation:
Assuming the diagram is thesame as the one attached,
From the diagram,
Triangle ABC is similar to Triangle DEC
ΔABC is similar to ΔDEC
Note: In similar triangle, ratio of corresponding sides are equal
Therefore,
line(AB) /line(DE) = line(BC)/line(EC).................... Equation 1
Given: AB = 20, BC = 15, EC = BC-BE = (15-6) = 9
Substitute these values into equation 1 and solve for Line DE
20/DE = 15/9
DE = (20×9)/15
DE = 12.
Hence line DE = 12.
Answer:
[tex]DE=12[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]AB=20\\\\BC=15\\\\BE =6[/tex]
Generally the equation for the similar triangles is mathematically given by
[tex]\frac{AB}{BC} =\frac{DE}{EC}[/tex]
Where
[tex]EC = BC - BE \\\\EC= 15-6 \\\\EC= 9[/tex]
Therefore
[tex]\frac{20}{15} =\frac{DE}{9}[/tex]
[tex]\frac{20*9}{15} =DE[/tex]
[tex]DE=12[/tex]
Related Questions
1-1=[tex]1+1=\\[/tex]
Answers
Answer:
1 - 1 = 0
1 + 1 = 2
Step-by-step explanation:
:)
Answer:
1-1=0 1+1=2
hope this helps
have a good day :)
Step-by-step explanation:
write the slop -intercept form of rhe equation of the line passing through (-2-2) with slope -2/3
Answers
y=-2/3x-2
explanation- the slope intercept form is y=mx+b
m is the slope which is -2/3
b is the y intercept which is -2
so you just plug it all in
image above!
question- What is the measure above?
A)90 degrees
B)45 degrees
C)135 degrees
D)115 degrees
Answers
pls help and i will reward brainliest
Answers
Answer:
$10
Step-by-step explanation:
Step-by-step explanation:
I think it is 20 to represent 2000 and and 10 to represent 1999 can you see that they are marching in an order 10 20 30 40 50 60 but if I'm wrong please tell me this is just a cooked method I think it is $20 hope it helps.
What is the height (h) of the cone if the slant height is13 cm?
A.8 cm
B. 18 cm
C. 144 cm
D. 12 cm
Answers
Answer:
b
Step-by-step explanation:
help please :) its very important
Answers
please answer correctly. i will give brainliest!!
Answers
I'm pretty sure its just the last 3
At age 23, someone sets up an IRA (individual retirement account) with an APR of 7%. At the end of each month he deposits $75 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period.
Answers
Answer:
The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.
Step-by-step explanation:
In order to solve this problem, we can make use of the following formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
Where:
FV= Future value of the ira
PMT= the amount of money you deposit each month
i= is the interest rate per period
n=number of periods
in this case we will assume the interest will be compounded each month.
So:
FV this is what we need to know.
PMT= $75 the amount he will deposit each month
t = 42 years,
this is 65-23=42
n=42 years * 12 months/year = 504 months
i=0.07/12
So we can now use the given formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
[tex]FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}][/tex]
So we get:
FV=$228,278.05
which is the amount of money he will have after 42 years.
In total, he deposited:
$75*504months = $37,800
so he will have:
[tex]\frac{228,278.05}{37,800}=6.04[/tex] times the amount of money he deposited throughout this time.
Suppose that 21 inches of wire costs 84 cents.
At the same rate, how much in cents) will 47 inches of wire cost?
Answers
Answer:
44 cents
Step-by-step explanation:
First we need to find out how much per inch so do 84 divided by 21 which is 4 then get the closest to the number 47 which is 44 so 4x11=44 cents I'm not sure if it's right tho
Someone please help
Please
Please
Please
Answers
Answer:
need more information
Step-by-step explanation:
all you told us is what's happening in this picture. that's why you cant get help.
Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions
Answers
Answer:
C
Step-by-step explanation:
A. [tex]\frac{20-5}{(-2)-(-1)} = \frac{15}{-1} = -15[/tex]
[tex]\frac{5-0}{(-1)-0} = \frac{-5}{1} = -5[/tex]
NOT LINEAR
B. [tex]\frac{(-6)-1}{(-2)-(-1)} = \frac{-7}{-1} = 7[/tex]
[tex]\frac{1-2}{(-1)-0} = \frac{-1}{-1} = 1[/tex]
NOT LINEAR
C. [tex]\frac{9.4-6.2}{(-2)-(-1)} = \frac{3.2}{1} = -3.2[/tex]
[tex]\frac{6.2-3}{(-1)-0} = \frac{3.2}{-1} = -3.2[/tex]
[tex]\frac{3-(-0.2)}{0-1} = \frac{3.2}{-1} = -3.2[/tex]
LINEAR
Which equation can be used to solve for x in the following diagram?
Answers
Answer:
D
Step-by-step explanation:
The two angles are equal to 180 degrees
Alyssa emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes ( d) and nickels ( n) that totaled $11.65. One of the constraints that would be used to determine how many dimes and how many nickels Alyssa had in her change jar is n+d=147 and the other is ___n + ___d = 11.65.
Answers
Mark Brainliest if right plz
A hobby store is having a promotion on picture frames: buy 3 get the 4th frame at 75% off.
Write an expression to represent the total cost for 4 frames in two different ways.
Answers
4x - 0.75x
x= cost of the frame
The expressions to represent the total cost for 4 frames in two different ways are 3x + (x - 0.75x) and 4x - 0.75x.
What is the cost?It is the amount or equivalent paid for something.
Let x be the cost of a picture frame.
The discount rate is 75%.
given that if you purchase three picture frames, the fourth one is 75% off.
The total cost for the picture frames can be given by
3x + (x-0.75x) = 4x-0.75x
Hence the two different expressions for the total cost are 3x+(x-0.75x) and 4x-0.75x.
To learn more about cost, use the link given below:
https://brainly.com/question/15135554
#SPJ2
Find the measure of the
indicated angle
Answers
Answer:
45
Step-by-step explanation:
180 in a triangle,
110 + 25 = 135
add on 45 = 180
Explanation:
1. 110+ 25= 135
2.180-135= 45
Simple algebra 1, one question about linear functions
Answers
Answer:
B
Step-by-step explanation:
I'm pretty sure it's because it tells you the rate of each year it depreciates. Let me know if it's right or wrong.
four time two times the number is as thrice more the number
Answers
Answer:
Equation = 4(2x) = 3x
Step-by-step explanation:
Form the equation
4(2x) = 3x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The horsepower, H(s), required for a racecar to overcome wind resistance is given by the function: H(s) = 0.003s^2+0.07s-0.027, where (s) is the speed of the car in miles per hours. What is the average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph? A 1.64 B. 0.61 C. 12.2 D. 20.0 Please help mee
Answers
Answer: 0.61
Step-by-step explanation:
Write a quadratic function in standard form whose graph passes through (-11,0), (1,0), and (-3,64).
Answers
Answer: (-2,25)
Step-by-step explanation:
ANSWER QUICK PLEASE
Is there a different triangle Diego could have drawn that would answer the question? Explain or use the tool below to show your reasoning. The triangle is in the file
Answers
It would have been better if he drew it like one of these because they're more standard in math. It's also easier to identify that it's supposed to be a right triangle because that's essentially what it is. (45+45=90 and 90 +90= 180).
A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters. What is the value of B?
Answers
Answer:
The answer is 14 meters
Step-by-step explanation:
duhhhhhhhhhhhhhhh
Answer:
the answer is 7m2
Step-by-step explanation:
4/2 = 2
2* 3.5 = 7m2
I hope this will help you!!
FIND THE VOLUME ILL GIVE BRAINLIEST
Answers
1454.13 ( the 3 is infinite) mm^3
Step-by-step explanation:
1/3 × 13.3 × 16 × 20.5 = 1454.13 ( the 3 is infinite, I don't know how to put a line over a number on here)
I hope this helps, have a good day!
A cell phone company charges a monthly rate of $10.00 and $0.20 a minute per call. Write an equation that can be used to determine the number of minutes, m, of calls made if the bill for one month is $30.
Answers
Answer:
y = 0.20m + 10, 100 minutes
Step-by-step explanation:
Equation: y = mx + b
Fill it in.
m = slope = 0.20
b = y-intercept = 10
y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)
y = 0.20m + 10
Fill in.
30 = 0.20m + 10
Solve.
20 = 0.20m
100 = m
She was on the phone for 100 minutes.
RuiFeng is twice as old as Raj and Khairul is 7 years younger than RuiFeng. If the sum of their ages is 38 years, find their respective ages?
Answers
Answer:Ans :RuiFeng 18 yrs, Raj 9 yrs, Khairul 11 yrs
Step-by-step explanation:
Two studies were completed in Georgia. One study in northern Georgia involved 3,000 patients; 84% of them experienced flulike symptoms during the month of December. The other study, in southern Georgia, involved 2,000 patients; 75% of them experienced flulike symptoms during the same month. Which study has the smallest margin of error for a 99% confidence interval?
The northern Georgia study with a margin of error of 2.5%.
The southern Georgia study with a margin of error of 2.5%.
The northern Georgia study with a margin of error of 1.7%.
The southern Georgia study with a margin of error of 1.7%.
Answers
Answer:
The northern Georgia study with a margin of error of 1.7%.
All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)
Step-by-step explanation:
The best and most correct answer among the choices provided by the question is the third choice "The northern Georgia study with a margin of error of 1.7%."
All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)
find the value of x. x³=8
Answers
Answer:
x = 2
Step-by-step explanation:
x^3 = 8
(2)^3 = 8
2 * 2 * 2 = 8
x = 2
Answer:
the value of x is 2
hope it helps
stay safe healthy and happy.Jaime says that the value of -1 x n is always equal to the value of n = (-1) for all
values of n.
Explain whether Jaime is correct or incorrect.
Answers
A trapezoid has of parallel sides
Answers
Answer:
True
Step-by-step explanation:
False. A trapezoid has one pair of parallel sides, not two pairs.
A trapezoid has only one pair of parallel sides.
The definition of a trapezoid states that it is a quadrilateral with exactly one pair of parallel sides.
The non-parallel sides of a trapezoid are called legs, and the parallel sides are referred to as the bases.
So, a trapezoid can have two pairs of sides that are parallel to each other, but only one of those pairs is considered as the bases.
To learn more on Trapezoid click:
https://brainly.com/question/32048079
#SPJ4
True or False: A trapezoid has two pairs of parallel sides. Explain your answer.
Juan mesura 1,75m y proyecta , en un momento dado , una sombra de 1,4m . Calcula la sombra que proyecta en este instante una farola de 4m de altura
Answers
Answer:
5m
Step-by-step explanation:
Calculamos usando la fórmula de la proporción
Sombra / Altura
Deje que la altura de la luz de la calle = x
1,4 m / 1,75 m = 4 m / x
Multiplicar cruzada
1,4 × x = 1,75 × 4
Dividir ambos lados por 1.4
x = 1,75 × 4 / 1,4
x = 5
Por lo tanto, la altura de la farola es de 5 m.
A cone has radius 3 and height 4. Your classmate calculates its surface area as shown:
Explain your classmate's error.
S. A. = pi(5)^2 + pi(3)^2 = 25pi + 9pi = 3pi
Answers
Answer:
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = 47.1 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of cone = 3 unit
Height of cone = 4 unit
Find:
Lateral surface area of cone
Computation:
Slant height of cone = √Radius² + Height²
Slant height of cone = √3² + 4²
Slant height of cone = √9 + 16
Slant height of cone = √25
Slant height of cone = 5 unit
Lateral surface area of cone = πrl
Lateral surface area of cone = π(3)(5)
Lateral surface area of cone = (3.14)(15)
Lateral surface area of cone = 47.1 unit² (Approx.)