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
Evaluate p(18,3) probability
Answers
Answer:
what?
Step-by-step explanation:
What is the value of 3 in the figure shown below?
с
4.3
D
61
3
3
53
A
4.3
Answers
9514 1404 393
Answer:
66
Step-by-step explanation:
Angle D (x°) is the same measure as angle A. The measure of angle A is that required to make the total of angles in ΔABC be 180°.
∠A = 180° -61° -53° = 66°
The value of x is 66.
which graph represents exponential decay
Answers
Exponential growth is going up, by the way.
Line___is a transversal.
Answers
Answer:
C
Step-by-step explanation:
Line A is Parallel to Line B
Line C intersects Line A and B
Answer:
line C
Step-by-step explanation:
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with resect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the. population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day.
Required:
What is the differential equation that models this situation?
Answers
Answer:
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
Step-by-step explanation:
Given
Variation: Directly Proportional
Insects = 10 million when Rate = 2 million
i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]
Required
Determine the differential equation for the scenario
The variation can be represented as:
[tex]\frac{dP}{dt} \ \alpha\ P[/tex]
Which means that the rate at which the insects increase with time is directly proportional to the number of insects
Convert to equation
[tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ kP[/tex]
Substitute values for [tex]\frac{dP}{dt}[/tex] and P
[tex]2\ million = k * 10\ million[/tex]
Make k the subject
[tex]k = \frac{2\ million}{10\ million}[/tex]
[tex]k = \frac{2}{10}[/tex]
[tex]k = \frac{1}{5}[/tex]
Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]
[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]
Determine which of the following words best describes the underlined word(s) in the context.
The President of a mobile phone manufacturer wants to know what color mobile phone users prefer. The company sells mobile phones throughout the world. There are 5.16 billion unique mobile phone users in the world. A Statistician for the manufacturer conducts a random sample of 1,000 mobile phone users throughout the world and from the sample determines that 23.6% prefer white and 34.6% black.
variable, population, statistic, sample, data, parameter
Answers
Answer:
Population - All 5.16 billion mobile phone users
Sample - subset of 1000 chosen from 5.16 billion
Variable - white and black mobile preference
Parameter - statistical characteristics of the population
Statistic - statistical characteristic of the sample ; 23.6% white preference ; 34.6 black preference
Data - facts and figures gathered for the study
Step-by-step explanation:
The population is the total observations who fit into a certain area of interest.
Sample refers to subset of the population which is meant to be representative of the larger population.
Variable refer to groups of characteristics with relates to observations within a dataset.
Parameter - statistical characteristics of the population
Statistic - statistical characteristic of the sample
Data - facts and figures gathered for the study
what does 108 × 1/3 equal?
Answers
Answer:
It would be 36
Explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
108/1 ×1/3
Applying the fractions formula for multiplication,
=108×1/1×3 = 108/3
Simplifying 108/3, the answer is
=36
hope it helped. :)
I need help with math problem: 5(2x+6)
Answers
Hey there!
5(2x + 6)
= 5(2x) + 5(6)
= 10x + 30
Answer: 10x + 30 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
10x + 30
Step-by-step explanation:
When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.
5(2x) + 5(6)
Then we just multiply
10x + 30
Because we do not know the value of "x" we will leave it like this.
Hope it was helpful ;)
On a certain map 4 inches represents 26 miles. What distance does 11 inches represent?
Answers
The shaded area on the grid represents the part of a rectangular wall that was painted. Each small square on the wall has the same dimensions. What percentage of the wall was painted?
Answers
Answer:
68
Step-by-step explanation:
There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.
17 / 25 = 17*4 / 100
17 * 4 = 68
Answer 68%
Step-by-step explanation:
Yesterday, there were 80 problems assigned for math homework. Jenna did 45% of them correctly. How many problems did Jenna get right?
Answers
Answer:
36 questions was answered correctly
Step-by-step explanation:
80 x .45 = 36
Hope this helps
Have a great day :D
plz help me this is 7th grade math
Answers
Answer:
6, 19, 23? girl im in 7th and i didnt learn this yet
Step-by-step explanation:
Help me pls I don’t want to fail math
Answers
Answer: They are proportional.
Explanation: To determine whether a table is proportional just simply notice if there is a number you can get to the next number.
Example: on the x values you multiply from left to right by 2 and get the next number. on the y values you multiply by 1. This table is proportional
Which one of the following are rational numbers?
8
0
10/3
7
Answers
Answer:
eight and zero...
Step-by-step explanation:
hope I help
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answers
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%
The following are the last 10 run scores Colin got in cricket:
23, 20, 4, 19, 28, 35, 25, 0, 1, 30
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 35 runs.
What is his new mean score?
Answers
Answer:
a)18.8
Step-by-step explanation:
Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8
The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20
What does circumference mean?
Distance around a circle
Space a circle takes up
Line from one side of a circle to another
Line from center of circle to side
Answers
are you in college?
The line plot above shows the height of the baby giraffes at the zoo. What is the difference in height (in inches) between the shortest and the tallest baby giraffes?
Answers
Answer:
3.5 inches
Step-by-step explanation:
Height of tallest baby giraffe = 42.75 inches
Height of shortest baby giraffe = 39.25 inches
Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches
Seven more than two times a certain number is 181. Find the number
Answers
Answer:
87
Step-by-step explanation:
181-7=174
174/2=87
4. A varies directly as r. If A = 12, when r = 2, calculate:
a) the value of A, when r=5
Answers
Answer:
The value of A ,when r=5 then A = 14
Substitute the given value : 12 = 2(k) —> k=6
Eqn : A=6r
When r=5,A= 6(5)= 30 thus A= 30
Y=-2x+6 what is the y intercept
Answers
Answer:
the Y intercept is 6
Step-by-step explanation:
the Y intercept of a linear equation like that equation
any equation formed as: y=mx+b
B of the equation would always be the Y intercept
The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.
To find the y-intercept, we substitute x = 0 into the equation:
y = -2(0) + 6
y = 0 + 6
y = 6
Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
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Solve.
5t ≤ –15
a. t ≤ 3
b. t ≥ 3
c. t ≤ –3
d. t ≥ –3
Answers
Answer:
c. t ≤ –3
Step-by-step explanation:
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
Which one is it??
Answers
PLS HELP I’LL MARK BRAINLIEST!!! ALSO THE ANSWER IS NOT 118!
Answers
Answer:
B. 128
Step-by-step explanation:
so the sum of the interior angle is 180
180 - 76 is 104
since both sides are the same divide 104 with 2 to get 52
to find x = 180 - 52 = 128
x-1=y what is the answer plz give me the answer
Answers
Answer:
X = 0Y = 1First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .
To draw a line you need two of its points, which you can connect.
To find two points, you can plug any value for one variable, and solve for the other.
For example, let's choose
x=0 . The equation becomes
0−1=y , and so y=−1 .
The first point is thus (0,−1).
Then, let's choose
x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus
(1,0).
Now you only need to draw the points
(0,−1)
Step-by-step explanation:
Hope it is helpful...
The length l of a 200-square-foot rectangular vegetable garden is 4 feet less than twice the width w. Find the length and width of the garden.
Answers
Answer:
L=18.1, W=11.0
Step-by-step explanation:
HELP ME PLEASE The roots of a quadratic equation can be found using the graph what are the roots of these equations?
Answers
(-1,4)
Explanation:
On the left if you estimate it brings to a -1 and on the right if you count boxes bring to a 4
Hope its correct
Answer:
the roots of this quadratic expression are: x = -1 and x = 4
Step-by-step explanation:
You need to find at which x-values the graph crosses the x-axis (this is when y = 0, and therefore the roots of the quadratic equation represented via the graph).
In our case notice that the graph crosses the x-axis at the points:
x = -1 (on the left), and x = 4 (on the right)
Therefore the roots of this quadratic expression are: x = -1 and x = 4.
Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.
A. 743, 970, 933
B. 870, 933, 780,
C. 780, 849, 761,
D. 867, 870, 933
Answers
What is the initial value of the exponential function
represented by the table?
-2
1
3
-1
1
4
0
1
2
1
1
1
2
2
Answers
Answer:
o943
Step-by-step explanation:
For parallelogram ABCD, find the value of x
Answers
3x+20+12=5x-12+12
3x+32=5x
3x-3+32=5x-3
32=2x
32/2=2x/2
16=x
reflexive property of equality
x=16
Answer:16
Step-by-step explanation:
