Answers
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
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Related Questions
Your answer
د لمانية
2
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Is the answer 2?
Answers
Answer:
yes 2 is the answer yes yes yes yes
What do you get when you simplify 12/8
Answers
Answer:
3/2
Step-by-step explanation:
You can divide both 12 and 8 by four. Dividing 12 by four gives you 3 and dividing 8 by 4 gives you 2. This makes the simplified fraction 3/2
:)
What slope is perpendicular to m=4/5
Answers
Step-by-step explanation:
a perpendicular slope is the negative reciprocal
so the perpendicular slope is -5/4
Answer:
m = -5/4
Step-by-step explanation:
Perpendicular slope is the negative opposite reciprocal of a slope.
I NEED HELP
Check all the equations.
8 = j – 4
the quotient of a number and two
k + 46
Twelve is the sum of a number and six.
30y
5x = 45
Answers
Answer:
8=j-4 the quotient of a number and two=n/2
12=j
Step-by-step explanation:
Twelve is the sum of a number and six.=n+6=12, n=6
k plus forty six (k+46)
y multiplied by 30 (30y)
5x=45=
x=9
sorry the answers are mixed up
Answer: ADF
Step-by-step explanation: have a great day and good luck!!! <3
please, please, please, please help
Answers
Answer:
the answer is B 497
Step-by-step explanation:
I honestly don't know how to explain it but the answer is B but with percents you have the decimal moved two times to the left to make it a decimal then you can do some math and bam 497
Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.
Answers
Answer:
ART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Step-by-step explanation:
PART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
D
А
A
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Answers
Answer:
1/5 is the answer eeeeeeeeeeeeee
I’m pretty positive that’s the answer
The mathematical model C = 800x + 100,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $580,000?
O A 579,200 items
OB 600 items
OC. 850 items
Answers
subtract 100,000 from 580,000 then divide by 800
If you deposit 4500 in an account paying 3.2% interest continually home much will the account balance be after 1.5 year
Answers
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Step-by-step explanation:
Given
Principle P = 4500 (Let say in $)Interest rate r = 3.2% = 0.032Time period t = 1.5 yearsTo determine
Accrue Amount A = ?
Using the formula
[tex]A\:=\:Pe^{rt}[/tex]
substitute r = 0.032, P = 4500, and t = 1.5
[tex]A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}[/tex]
A = $ 4721.27
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Find the value of x that makes the expressions equivalent. Show your work or explain your reasoning.
3(x - 6) ; 30 -18
Answers
X=10
Write a recursive formula for the sequence 180,160, 140, 120, 100...
Answers
Answer:
g(n) = 180 - 20(n-1)
Step-by-step explanation:
Since your has its g(1) value as 180, we put 180 in front. Then, we subtract 20 multiplied by n-1, n being the sequence number. For example, if the recursive function has recursed 3 times, we do 3-1, which is 2. We multiply 2 with 20, which is 40. Finally, we subtract 40 from 180, which is 140. This equation is equivalent to g(3) = 180 - 20(3-1). When the sequence has g(3), we clearly see the answer is 140. When we look at the sequence, the third number is 140, proving this equation correct.
Question Help
Suppose you deposited $300 in a savings account 2 years ago. The simple interest rate is 2.9%
The interest that you eamed in those 2 years is $17.40. Which of the following is/are true?
= 2.996
r=17-40 D=300
Answers
Answer:
account 2 years ago. The simple interest rate is 2.9% The interest that you eamed in those 2 years is $17.40. Which of the following is/are true? = 2.996 r=17-40 D= 300.
Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,
¿cuáles son las dimensiones?
Answers
Perímetro del rectángulo = 74 pulgadas
Deje que el ancho del rectángulo sea 'x'.
Entonces, la longitud de este rectángulo = x + 5
We know that :
[tex]\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b) [/tex]
Lo que significa :
[tex] =\tt 2(x + x + 5) = 74[/tex]
[tex] =\tt 2(2x + 5) = 74[/tex]
[tex] =\tt 4x +10 = 74 [/tex]
[tex] =\tt 4x = 74 - 10[/tex]
[tex] =\tt 4x = 64[/tex]
[tex] =\tt x = \frac{64}{4} [/tex]
[tex]\color{plum} =\tt x = 16[/tex]
Por lo tanto, el ancho de este rectángulo = 16 pulgadas
Entonces, la longitud de este rectángulo :
[tex] =\tt x + 5[/tex]
[tex] = \tt16 + 5[/tex]
[tex]\color{plum} =\tt 21 \: pulgadas[/tex]
La longitud de este rectángulo = 21 pulgadas
Por lo tanto :● Longitud del rectángulo = 21 pulgadas
● Ancho del rectángulo = 16 pulgadas
Simplify 3(x + 3) – 2x + 4
Answers
Answer:
x + 13
Step-by-step explanation:
Distribute:
3x + 9 - 2x + 4
Evaluate:
3x - 2x = 1x
9 + 4 = 13
Answer:
x + 13
Lincoln purchased a new car in 2010 for $22,800. The value of the car was $14,100 in the year 2012, then what would be the predicted value of the car in the year 2014, to the nearest dollar?
Answers
Answer:
872
Step-by-step explanation:
The predicted value of $16,348 for the car in 2014.
What is the depreciation rate?The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.
Given,
The car was purchased for $22,800 in 2010.
The value of the car was $14,100 in 2012.
The time elapsed between 2010 and 2012 is 2 years, so we can calculate the annual depreciation rate as follows:
depreciation rate = (purchase price - value after 2 years) / (purchase price x 2 years)
= (22,800 - 14,100) / (22,800 * 2)
= 0.0798 or 7.98%
This means that the car depreciates by approximately 7.98% of its value per year. To predict the value of the car in 2014, we can use this rate to calculate the value after 4 years (since 2010):
value after 4 years = purchase price x (1 - depreciation rate)⁴
= 22,800 x (1 - 0.0798)⁴
≈ 16,347.97
Rounding this to the nearest dollar gives us a predicted value of $16,348 for the car in 2014.
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why do i suck at math
Answers
the world may never know
Answer:
Yeah, what the dude above me said.
Step-by-step explanation:
Choose the appropriate description for the following pair of angles.
Answers
3. What are the factors in this expression 9+ (x-7)(Y+6)
Answers
Determine if the lines are parallel, perpendicular or neither: x = 5 and x = -2
Answers
Can someone please help me
Answers
Answer:
A. 1200
Step-by-step explanation:
Speed in meter per minute
= (216*1000)/(3*60)
= 216000/180
= 1200
Answer:
A. 1200
Step-by-step explanation:
Distance travelled (d)
= 216 km
= 216000 m
time taken (t)
= 3 hours
= 3 * 60
= 180 min
Speed (s)
= d / t
= 216000/180
= 1200 m / min
The speed of the car is 1200 metres per minute.
help me agaiaiiaiaiaiiaiain im too lazy to answer them
Answers
Answer: (C
Step-by-step explanation: To evaluate this, solve by raising 7 to the power of 3.
7 x 7 x 7
7 x 7 = 49 x 7 = 343
Therefore, the answer is C.
who is the 1st us president
Answers
Answer:
George Washington
Step-by-step explanation:
The first US president is George Washington
Answer:
George Washington
Step-by-step explanation:
The multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. 4(3x − 1 4 y = 15) → 12x − y = 60 −6(2 3 x − 1 6 y = 6) → − 4x + y = − 36 What is the solution to the system of equations? ( , )
Answers
Answer:
The answer to the multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. is (3, -24)
Step-by-step explanation:
Answer:
3 -24
Step-by-step explanation:
got it right
what is the predicted height of a new 18 year old drama student in inches ?
Answers
Y = .9694 (x) + 52.153
= .9694 x 18 + 52.153
= 17.4492 + 52.153
= 69.6022
So the answer is B.
What is the distance between (4, 6) and (5, 0)
Answers
Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
Answers
Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609
Answer:
0.61
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.
Probability the next chew will be a flavor other than lime:
\frac{\color{steelblue}{28}}{\color{indianred}{46}}=
46
28
=
\,\,0.608695...
0.608695...
\approx
≈
\,\,0.61
0.61
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Answers
We have that theses Can affect the price if grape indirectly
Salaries WagesEnvironmentPeopleFrom the question we are told
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Independent variablesGenerally Independent variables are variables that are not dependent on the price of grape fruits directly
Therefore
We have that
Salaries WagesEnvironmentPeople Can affect the price if grape indirectly
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is 60
Step-by-step explanation:
How to find what percent of X is Y. Use the percentage formula: Y/X = P% Example: What percent of 60 is 12? Important! The result will always be in decimal form, not percentage form.
(i know this isn’t the clearest formula but its what i used)
Answer:
60
Step-by-step explanation:
To make this problem a little easier, think of 80% as 4/5.
(4/5 = 48/x) ~the unknown is represented by x
After cross multiplying, or "the butterfly method" you would get:
4x = 5(48)
4x = 240
240/4 = 60!
¿cuál es mediana?.
......
.
Answers
En estadística y teoría de la probabilidad, la mediana es el valor que separa la mitad superior de la mitad inferior de una muestra de datos, una población o una distribución de probabilidad. Para un conjunto de datos, se puede considerar como un valor "medio".Espero que esto te ayude. ¡Dios bendiga!
At a local pet store, there are 5 cats for every 2 dogs. If there are 8 dogs, how many cats are at the pet store? 03 cats O 12 cats o 20 cats O 24 cats
Answers
Answer:
20
Step-by-step explanation:
ok so for every 2 dogs is 5 so 2,5; 4,10; 6,15; 8,20.