Answers
The measure of DE is triangle ABE is similar to ACD is 9units
Similarity theorem of triangleFor triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.
From the given diagram;
AB/AE = AC/AD
20/15 = 32/15 + DE
Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9
Hence the measure of DE is triangle ABE is similar to ACD is 9units
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Related Questions
May I please get your help with this equation
Answers
Answer:
A) u=<9, 7>; v=<8, -2>
B) u+v = <17, 5>
C) 5u-2v = <29, 39>
Step-by-step explanation:
The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.
__
A.The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.
u = <11 -2, 1 -(-6)>
u = <9, 7>
v = <13 -5, 6 -8>
v = <8, -2>
__
B.The sum is the sum of the individual coordinates:
u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>
u +v = <17, 5>
__
C.The weighted sum is the weighted sum of the individual coordinates:
5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>
5u -2v = <29, 39>
_____
Additional comment
Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.
Please help me please
Answers
+ 5 square root 2 / 2 for second one
The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 centimeters wide by 6 centimeters long.
Answers
Answer:
14440cm3
Step-by-step explanation:
SOMEONE PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
73.40°
Given a right angle triangle.
Solve the missing angle using cosine rule.
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
Here given:
adjacent: 2
hypotenuse: 7
angle: x
Solve:
[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]
[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]
[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]
Read the following stock quote. What is the current price of this stock?
IMAX Corporation (Nasdaq:IMAX)
16.04 0.49 (3.15%) 11:51am ET
$3.15
3.15 percent
$.49
$16.04
Answers
Answer:
$16.04
(see the answer for explanation)
Jonah bought 4 boxes of donuts that each contained 12 donuts. When he gets to work, he will serve the donuts on 5 plates. If he puts the same number of donuts on each plate, what is the greatest number of donuts he could put on each plate?
Answers
To check it:
9 x 5 = 45— 9 is the highest number of donuts to be put on each plate, because we can’t go over 48 and each plate has to have the same amount
10 x 5 = 50—- 10 is too high because Jonah only has 48 donut’s to share not 50
Hello I really need help with this
Answers
Answer:
7
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{AC}{DF} = \frac{AB}{DE}[/tex]35/? = 20/435/? = 5? = 35/5? = 7Answer:
7
Step-by-step explanation:
Given,
△ABC ~ △DEF
( ~ means similar )
To find : missing side length
Similar triangle rule : -
If two triangles are similar, their corresponding sides are similar.
So,
AB ~ DE
BC ~ EF
AC ~ DF
Let the missing side length ( DF ) be " x ".
Note : -
When the corresponding sides are divided, their ratios will be same.
That is,
AB / DE
= 20 / 4
= 5 / 1
= 5 : 1
BC / EF
= 40 / 8
= 5 / 1
= 5 : 1
AC / DF should also be equal to 5 : 1.
AC / DF = 5 : 1
35 / x = 5 / 1
Cross multiply,
x * 5 = 35 * 1
5x = 35
Divide 5 on both sides,
x = 35 / 5
x = 7
Therefore,
the missing side length is 7.
x-3<9 this is a inequalite question
Answers
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
x-3<9
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
✩ First, add 3 on both sides:-
[tex]\it{x < 9+3}[/tex]
Which results in
[tex]\it{x < 12}[/tex]
So the values of x less than 12 will make this inequality true.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
what function is represented below?
Answers
Answer:
the second i think i dont know for sure
Does anyone know the answer to X - 5y
Answers
Answer:
Slope is 1/5
y intercept is (0,0)
Convert -4x+2y=16 to slope intercept form simplify your answer
Answers
[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]
Find the Mean Absolute Deviation (MAD) of the following test scores.
Remember, the Mean is just the first step.
Scores:
{ 48, 61, 73, 76, 76, 74 }
Answers
Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.
How to calculate Mean Absolute Deviation (MAD)The mean of the 6 test scores is first calculated as follows:
Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68
We can now calculate the MAD of the test scores as follows:
MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0
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. A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question: What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number. 15% 7% 27% 10%
Answers
The probability of correctly guessing at random exactly one correct answer will be 15%. Then the correct option is A.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A five-question multiple-choice quiz has five choices for each answer.
Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question.
Then the probability of correctly guessing at random exactly one correct answer will be
P (X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ⁻ˣ⁾
The probability of success will be 0.5. Then we have
P (X = 1) = ⁵C₁ × p¹ × (1 - p)⁽⁵ ⁻ ¹⁾
P (X = 1) = 0.15625
P (X = 1) = 15.625%
P (X = 1) ≅ 15%
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Clare ran 8/5 as far as jada, Tyler ran 4/3 as far as jada, and Kim ran 1/2 as far as jada. Order the students from least to greatest by order of the distance they ran
Answers
1/2,4/3,8/5
Step-by-step explanation:
when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest
Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road for 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?
Answers
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
find the x of these multiplication
6) 3x = 27
7) 5x = 35
8) 2x = 24
Answers
X = 9
7) do the same process, X = 7
8) do the same process, X = 12
Hey there!
QUESTION #6.
3x = 27
DIVIDE 3 to BOTH SIDES
3x/3 =27/3
SIMPLIFY IT!
x = 27/3
x = 9
Therefore, the answer should be:
x = 9
QUESTION #7.
5x = 35
DIVIDE 5 to BOTH SIDES
5x/5 = 35/5
SIMPLIFY IT!
x = 35/5
x = 7
Therefore, the answer should be:
x = 7
QUESTION #9.
2x = 24
DIVIDE 2 to BOTH SIDES
2x/2 = 24/2
SIMPLIFY IT!
x = 24/2
x = 12
Therefore, the answer should be:
x = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The sales tax in some places in Texas is 8.25%. Which function
represents the cost of purchasing x dollars of products, including tax?
Answers
Taxes usually increase how much you pay from the purchase price. To find the tax charged on the purchase, multiply the tax rate by the purchase.
$28.38 × 0.0825 = $2.34
The tax charged is $2.34
capital gross is calculated by doing...
A)selling price-purchase price
B)purchase price-selling price
Answers
The capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.
What is capital gross?The entire value of gross fixed capital formation, changes in inventories, and acquisitions less disposals of assets for a unit or sector is used to calculate gross capital formation.
As we know, deducting the asset's or portfolio's acquisition price from the selling price yields the capital gain formula.
Thus, the capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.
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what is the mean age of a girl on the swimming team?
Answers
Answer:
15Step-by-step explanation:
what is the mean age of a girl on the swimming team?
adding the number of girls together and then dividing by the number of girls
(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =
107 : 7 = 15.28 (you can round at 15)
The radius of a circle is 10 m. Find its area to the nearest whole number.
I need help rn it’s a final I need it asap
Answers
radius= 10 m
to find:the area of the given circle.
solution:[tex]a = \pi {r}^{2} [/tex]
[tex]a = \pi \times {10}^{2} [/tex]
[tex]a = 314.15927 \: {m}^{2} [/tex]
[tex]a = 314 \: {m}^{2} [/tex]
therefore, the area of the given circle is 314 square meters.
[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]
In this question raduis is given so we'll simply have to solve.
Let's solve!
The area of a circle is π times the radius squared.
Substitute the values according to the formula.
[tex]a= \pi \times {10}^{2}[/tex]
[tex]a= 314.1592654 \: {m}^{2}[/tex]
Now, we can round off to the nearest whole number.
The value in tenths place is less than 5 so we won't have to round up.
Final answer:
[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]
Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.
How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
Answers
The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The function g(x) can be rewritten as:
g(x) = (x - h)^3 + k
This means that the function f(x) is shifted right by h units and shifted up by k units.
By comparison:
h = 2 and k = 6
Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park
and then 2.51 miles to the library. On Sunday, Finley rode the bus 2.12 miles to thi
art museum. What is the total number of miles Finley rode the bus on Saturday
and Sunday?
Answers
The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles
Calculating distanceFrom the question, we are to determine the total distance travelled by Finley on Saturday and Sunday
From the given information,
On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library
Total distance travelled on Saturday = 3.35 miles + 2.51 miles
Total distance travelled on Saturday = 5.86 miles
Also,
On Sunday, Finley rode the bus 2.12 miles to the art museum
Total distance travelled on Sunday = 2.12 miles
∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles
Total distance travelled on Saturday and Sunday = 7.98 miles
Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.
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Joaquin estimates his score on his science test. Joaquin's estimate has a 3% error. His actual score on the science test is 91. What could be Joaquin's estimate? Choose all the correct answers. please go to the pic for the answer
Answers
Joaquin's estimate for his score on the science test can either be 93.73 or 88.27.
What is the estimate on the science test?
Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.
Estimate of the score can either be greater than or less than 91.
Score estimate = (1.03 x 91) or (0.97 x 91) = 93.73 or 88.27.
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Simplify the equation √-42×√-30
Answers
Answer:
-6 [tex]\sqrt{35}[/tex]
Step-by-step explanation:
Answer:
[tex]6\sqrt{35}i[/tex]
Step-by-step explanation:
Solve the following porportion.
x/25 = 2/5 x=
Answers
=========================================
Work Shown:
x/25 = 2/5
5x = 25*2
5x = 50
x = 50/5
x = 10
------------
Another approach:
x/25 = 2/5
x/25 = (2*5)/(5*5)
x/25 = 10/25
x = 10
------------
Yet another method:
x/25 = 2/5
x/25 = 0.4
x = 25*0.4
x = 10
All computers are on sale for 10% off the original price.
If x is the original price of the computer, then the function that represents the price after only a 10% discount is:
P(x) = x - 0.1x
P(x) = 0.9x
The function that gives the price, C, if only a $150 coupon is used is:
C(x) = x - 150
Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.
C(P(x)) = 0.9x – 150
P(C(x)) = 0.9x – 150
C(P(x)) = 1.9x – 150
P(C(x)) = 1.9x – 150
Answers
i need help with 7th grade math please need help ASAP + brainleist
Answers
Step-by-step explanation:
the area of garden is 970.08
Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]2. Then find the area of the half-circle
The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]3. Add the areas together
[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]Which sign makes the following statement true? 3.9 _____ 9/10
Answers
Answer:
>.
Step-by-step explanation:
3.9 is greater than 9/10 ( = 0.9)
Joe has 5/6 cup of paint in a container. He uses 2/5 cup on a project then adds another 1/3 cup. How much paint does he have now?
Answers
Answer:
=23/30
Step-by-step explanation:
5/6-2/5
Multiply 5/6 by 5 and -2/5 by 6
25/30-12/30
25-12/30
=13/30
Then he adds another 1/3
=13/30+1/3
multiply 1/3 by ten
=13/10 + 10/30
=13+10/30
=23/30
5/6-2/5-1/3=23/30
An item has a listed price of $30 . If the sales tax rate is 9% , how much is the sales tax (in dollars)?
Answers
Answer:
2.7$
Step-by-step explanation: