A classmate writes and incorrect proportion to find x. Explain and correct the error.
Answers
Answer:
x / 9 = 12 / 15
Step-by-step explanation:
Correct proportion by given same angle;
x / 9 = 12 / 15
x = (12)(9) / 15
x = 108 / 15
x = 7.2 unit
Related Questions
what is 696 39/100 into a decimal
Answers
Answer:
696.39
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: 696 39/100 into a decimal is 696.39
please show work i would appreciate it
Answers
Answer:
a) x = 14
b) The perimeter of △QRS is 77 units.
Step-by-step explanation:
a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.
Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.
Hence, △RTV ~ △RQS.
According to the Triangle Proportionality Theorem:
[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]
Hence, we can substitute all values that we know from the diagram:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]
After getting this information, all we have to do is simplify and solve the equation:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]
[tex]3(2x - 2) = 2(2x + 11)[/tex]
[tex]6x - 6 = 4x + 22[/tex]
[tex]6x - 4x = 22 + 6[/tex]
[tex]2x = 28[/tex]
[tex]x = 14[/tex]
To verify this answer, we can plug in the value of x into the equation:
[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]
[tex]\frac{26}{39} = \frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{2}{3}[/tex]
Hence, after verification, we can get the answer: x = 14.
--------------------------------------------------------------------------------------------------------------
b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.
Hence, 2(14) - 2 + 13 + 17 + 21
= 28 - 2 + 13 + 17 + 21
= 77 units
Therefore, the perimeter of △QRS is 77 units.
Hope this helped!
(4,8), m=5 need a step by step answer please
Answers
Answer:
8=4x+5
Step-by-step explanation:
Slope-intercept form: y=mx+b
1. Identify your terms:
x: 4
y:8
b/slope: 5
2. Solution:
8=4x+5
Please help me
Find the value of x.
Answers
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answers
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5 12% of the selling price.
a. How much commission will the salesperson earn by selling a couch for $495? Round to the nearest cent.
Answers
Find the value of this expression if x = 5 and
y = 2.
xy^2/-3
Answers
Answer:
The value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{xy^2}{-3}[/tex]
Apply the fraction rule: a/-b = -a/b
[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]
substituting x = 5, y = 2 in the expression
[tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]
[tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]
[tex]=-\frac{20}{3}[/tex]
Therefore, the value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]Is this true or false ??
Answers
I need the answer ASAP
Answers
Answer:
the are is 14
brainliest??
Step-by-step explanation:
Answer:
48ft
Step-by-step explanation:
Hope this helps. :)
What is the equation relating x and
y together?
y
1
2
3
4
5
25
23
21
19
17
y=-2x + [?]
Answers
Answer:
ommmm I have no idea Butt 1 of my fav numb is 17 so pick that
the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining the letter p twice
Answers
Answer:
The probability of obtaining the letter p twice is 1/121
Step-by-step explanation:
Probability of Recurring Events
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:
[tex]\displaystyle P_1=\frac{1}{11}[/tex]
The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:
[tex]\displaystyle P_2=\frac{1}{11}[/tex]
We'll use the multiplication rule. Just multiply the probability of the first event by the second.
[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]
[tex]\displaystyle P=\frac{1}{121}[/tex]
The probability of obtaining the letter p twice is 1/121
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answers
Answer:
Below.
Step-by-step explanation:
10 rectangles, 2 are shaded in.
Fraction: 1/5
Decimal: 0.2
Percent: 20%
Someone please help look at the picture please anything would help
Answers
Write a linear function f with the values f(0) = 1 and f(-2)=-3,
Oy=-2x-3
O y = x + 2
O y = 2x + 1
O y=-3x + 1
Answers
For f(0)=1 replace x by 0 and for f(-2)=3 replace x by -2
How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)
Answers
9514 1404 393
Answer:
rotated vertices are (1, 1), (-2, -1), (-4, 0)
Step-by-step explanation:
When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...
(x, y) ⇒ (y, -x)
Then your rotated points become ...
A(-1, 1) ⇒ A'(1, 1)
B(1, -2) ⇒ B'(-2, -1)
C(0, -4) ⇒ C'(-4, 0)
_____
In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.
Determine the parent function
Y=x3. Y=^x. Y=1/x
Answers
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
Read more about function transformation at:
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if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?
Answers
Step-by-step explanation:
x² + 16x + 64 = (x + 8)². Hence p = 8.
Since (x + 8) is a factor of 4x² + 37x + k,
4(-8)² + 37(-8) + k = 0. (by Factor Theorem)
=> 256 - 296 + k = 0
=> k - 40 = 0
=> k = 40.
The value of k is 40.
Find the zero of the function.
f(x)= 4x^2– 12x+9
Answers
Answer:
The zero is x = 3/2 = 1.5
Step-by-step explanation:
We recognize that the trinomial 4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:
(2 x - 3)^2
Therefore, the zeros are the x-values that verify the following:
(2 x - 3)^2= 0
that is (2 x - 3) = 0 and solving for "x":
2 x = 3
x = 3 / 2
x = 1.5
what is the result of 54×18 written in standard form
Answers
Answer:
9.72 x 10^2
Step-by-step explanation:
Can you help me understand?
Answers
Answer:
-3,10
Step-by-step explanation:
4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)
Answers
(3,9), (-7,1), (6,12), (-3, -9)
Here is the histogram of a data distribution. All class widths are 1.
Which of the following numbers is closet to the mean of this distribution?
A. 5
B. 4
C. 2
D. 10
E. 3
Answers
Answer:
C) 2
Mean of the given distribution = 2
Step-by-step explanation:
Explanation:-
Given data from histogram
1 , 4, 5 ,4 ,2, 1, 1 , 1, 1,0
Mean of given data
= ∑x / n
Given n = 10
[tex]Mean = \frac{1+4+5+4+2+1+1+1+1+0}{10} = \frac{20}{10} =2[/tex]
Mean of the given distribution = 2
Answer:
Its actually 4
Step-by-step explanation:
A p e x
A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?
Answers
Answer:
20%
Step-by-step explanation:
4+3+7=14
14÷7=2
2×10=20
If I am wrong please tell me I haven't had to do this me method in 3 years
Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)
Answers
Answer:
a) 1/10 x 5/10 = 1/20
b) 1/10 x 5/9 = 1/18
Step-by-step explanation:
a) Probability of selecting one biography and then one mystery, with replacement: 1/20
b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.
The probability of each situation can be calculated as follows:
a) Selecting one biography and then one mystery, with replacement:
With replacement means that after each selection, the book is put back on the shelf before the next selection.
The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).
The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/10) = 1/20
So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.
b) Selecting one biography and then one mystery, without replacement:
Without replacement means that after each selection, the book is not put back on the shelf before the next selection.
The probability of selecting the biography first is still 1 out of 10 books.
However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%
So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.
To know more about Probability, refer here:
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Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero
Answers
Answer: Choice D)
No slope, the term x2-x1 is zero and we cannot have zero in the denominator.
=========================================
Explanation:
The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.
The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
Answers
C. INTO SIXTHS
I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT
I HOPE I WASNT TOO LATE. IF I WAS, SORRY
The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
As per the given number line,
Since 1 is a whole number and 2 is also a whole number.
The number of intervals between 1 and 2 is 6.
Thus, between consecutive whole numbers divided on the number line is 6.
Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".
To learn more about the number line,
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what is equivalent to 6x-3y=12
Answers
Answer: x= 1/2y+2
Step-by-step explanation:
Question 1 (5 points)
Saved
(01.01 LC)
Which of the following is a rational number? (5 points)
square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:
1)
square root of 2
2)
square root of 3
3)
square root of 4
4)
square root of 5
Answers
Answer:
Square root of 4 is ans
Step-by-step explanation:
Answer:
4) square root of 4
Step-by-step explanation:
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answers
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
sophias car wash llc specializes in detaling cars. For a pick up truck, sophia charges 30 dollars she also charges a rate of 4 dollars per hour. if sophia charged you 42 dollars how many hours did it take for her to detail your truck
Answers
Answer:
3 Hours
Step-by-step explanation:
If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D