Solve for x. The triangles are similar.
A. 5
B. 10
C. 4
D. 8
Answer: D) 8
Work Shown:
32/24 = 2x/12
32*12 = 24*2x
384 = 48x
48x = 384
x = 384/48
x = 8
The correct option is Option D: the value of x is 8
What are similar triangles?The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.
If two triangles are similar
then a₁/a₂=b₁/b₂=c₁/c₂
where a₁, b₁, and c₁ are the sides of one triangle
a₂, b₂, and c₂ are the sides of another triangle
Here it is given that
triangles ΔJLK and ΔRJS are similar.
so by the property of similar triangles,
JR/JL = JS/JK = RS/KL
Given that JR=24
JL=32
JS=12
JK=2x
By using the property
JR/JL = JS/JK
⇒ 24/32 = 12/2x
⇒2x= 12*32/24
⇒2x=16
⇒x=16/2
⇒x=8
Therefore the value of x is 8.
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I need help I don't understand this.
Answer:
<1 = 64
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles for triangles
40 +<1 = 104
Subtract 40 from each side
<1 = 104 -40
<1 = 64
Answer the question to get points
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
If 15 men can de a piece of work in 12 days, how many men will need to complete the samepiece of
work in 18 days?
Answer:
10 men
Step-by-step explanation:
This is because men are inversly proportionate to days.
The more the days the lesser the men and bise versa.
This means 180 men can do a painting in one day and 10 men can do the painting in 18 days.
Please help me with this
Answer:
x = -3/2 or x= sqareroot41/2
Step-by-step explanation:
What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT
Answer:
Step-by-step explanation:
The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.
When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.
The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:
y = -0.89x² + 3.24x+11.93
This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.
The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.
Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.
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Question 1 of 10
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
6-
Answer:
yes I think 6 is correct.
rationalise the denominator of 2sq3+3sq2/4sq3+sq2
Answer:
[tex]\frac{9+5\sqrt6}{23}[/tex]
Step-by-step explanation:
We can rewrite the fraction as
[tex]\frac{2\sqrt{3}+3\sqrt{2}}{4\sqrt{3}+\sqrt{2}}[/tex]
In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be [tex]4\sqrt{3}-\sqrt{2}[/tex]. Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction:
[tex]\frac{9+5\sqrt6}{23}[/tex]
A phone company charges each customer a monthly fee of $11.25. In addition, it charges $0.03 per minute for in-state calls and $0.11 per minute for out-of-state calls. What is the total monthly charge for a customer who made 340 minutes of in-state calls and 84 minutes of out-of-state calls?
340 x 0.03 = 10.2 (in state)
84 x 0.11 = 9.24 (out of state)
10.2 + 9.24 + 11.25
= $30.69 monthly charge
hope it helps :)
The total monthly charge for a customer is given as $30.69.
What is simplification?Simplifying allows us to test each process and strategy to determine which is the most efficient and best suited for its specific goal.
here,
A phone provider costs each customer $11.25 per month. Furthermore, it charges $0.03 per minute for in-state calls and $0.11 for out-of-state calls.
Charge within the boundary of state for 340 minutes = 340 x 0.03 = 10.2
Charge beyond the boundary of state for 84 minutes = 84 x 0.11 = 9.24
Total monthly charge = 10.2 + 9.24 + 11.25
= $30.69 monthly charge
Thus, A customer's total monthly price is shown as $30.69.
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How can we write an algebraic expression to describe a two-digit number whose unit's digit is 5 less than the ten's digit?
Answer:
Let x= the ones digit
Then x+5=the tens digit
Hence the equation is: 10(x+5)+x=x+5+x+63
10(x+5)+x=x+5+x+63
10x+50+x=2x+68
11x+50=2x+68
-2x-50 -2x-50
---------------------
9x=18 Divide both sides of the equation by 9
x=2
Hence the number is 10(2+5)+2=10(7)+2=70+2=72.
multiply
0.105 x 0.7=
Answer:
0.0735 got it right
Step-by-step explanation:
got it right
At one sitting, a typical doughnut eater consumes 4 doughnuts containing a total of 680 calories and 40 grams of fat. The typical bagel eater consumes exactly one bagel, at 500 calories and one or two grams of fat per sitting, though the addition of spreads can raise calorie and fat content to the four-doughnut range. Thus, as far as total calorie content is concerned, there is very little difference between what a typical doughnut eater and a typical bagel eater each consumes at one sitting.
The argument depends on assuming which one of the following?
(A) The calories and fat in bagels have the same health impact on bagel eaters as the calories and fat in doughnuts have on doughnut eaters.
(B) Most bagel eaters are not fully aware of the calorie and fat content of a bagel.
(C) Eating bagels instead of eating doughnuts provides no real health benefit.
(D) The typical doughnut eater does not add to doughnuts any substances that increase the total caloric intake.
(E) Most typical doughnut eaters are not also bagel eaters.
Answer:
C. Eating bagels instead of eating doughnuts provides no real health benefits.
Step-by-step explanation:
There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.
HELPPPPPPPP
Which of the following is a geometric sequence?
Answer:
ES LA NUME C R
Step-by-step explanation:
b)
Four students represented the same pattern with the following equations:
Simon C = 4n + 1
Shania C = 3n + 4 + n-3
Tate C = (6n + 1) + (-2n)
Navdeep C = 2(2n + 3) -5
Use algebra skills to determine which of these four equations are equivalent. Show your work.
Simon
C = 4n + 1
Shania
C = 3n + 4 + n -3
C = 4n + 1
Tate
C = (6n + 1) + (-2n)
C = 6n + 1 - 2n
C = 4n + 1
Navdeep
C = 2(2n + 3) -5
C = 4n + 6 - 5
C = 4n + 1
Therefore all of them are equivalent.
Answered by Gauthmath must click thanks and mark brainliest
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
5. What are the solutions of the equations x2 - 4x = -5
a. 2 + 2i
b. 2 - i
c. 2 + i.
d. 2 - 2 i
Answer:
b and c
Step-by-step explanation:
Given
x² - 4x = - 5
Solve by using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + 4 = - 5 + 4
(x - 2)² = - 1 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )
x = 2 ± i
Then solutions are
x = 2 - i → b
x = 2 + i → c
use the ratio of a 30-60-90 triangle to solve for the variables.
Answer:
[tex]x=12,\\y=6\sqrt{3}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle.
Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and [tex]x=6[/tex] in the ratio [tex]x:x\sqrt{3}:2x[/tex].
Thus, we have:
[tex]y=\boxed{6\sqrt{3}},\\x=2\cdot 6=\boxed{12}[/tex]
Find the volume of this cylinder.
As soon as possible please
Answer:
36
Step-by-step explanation:
pi (3) x 1^2 x 12 = 3 x 12 = 36
Which sequence is geometric?
•1, 5, 9, 13
•2, 6, 8, 10
•5, 7, 9, 11
•4, 8, 16, 32
Answer:
1,
Step-by-step explanation:
now z also a dk4k ak4 smka 4ml 4 LL
Help ASAP
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?
Answer:
List from least to greatest:-16,-10,-3,5
List from closest to zero to the very far:-3,5,-10,16
Step-by-step explanation:
In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...
a) In a group of 60 students, 15 liked maths only, 20 liked science only and 5 did not like
any of two subjects?
(i) How many of them liked at least one subject?
(ii) Find the number of students who liked both the subjects.
(iii) How many of them liked maths?
(iv) How many of them liked science?
(v) Represent the result in a Venn diagram.
PLZ PLZ HELP.........
Part (i)
We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.
Answer: 55=========================================================
Part (ii)
We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.
We can then say
15+20+x = 55
x+35 = 55
x = 55-35
x = 20
This means 20 people liked both subjects
Answer: 20=========================================================
Part (iii)
There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)
Answer: 35=========================================================
Part (iv)
We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).
Answer: 40=========================================================
Part (v)
We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).
We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.
Note how all of the values in the diagram add up to 60
15+20+20+5 = 60
This helps confirm we have the correct values.
Answer: See the venn diagram belowWhat is the units digit of 7⁷?
Answer:
[tex]7^{7}[/tex] = 823543
the unit position (the first) is equal to "3"
Step-by-step explanation:
Help me pls its Pythagorean theorem I need help
Answer:
the answer is 3.81
but rounding it it will be 3.8 meters
Step-by-step explanation:
Pythagorean theorem says
a²+b²=c²
so,
take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²
then put it all together you get
7²+x²=8²
we made b as x because we will be finding b
then substitute the values
x²=8²-7²
x²=64-49
x²=15
to remove that square from the x you then put square root in both
✓x²=✓15
press in the calculator, root of 15 will be about 3.81
now we got
x=3.81
x is the missing measurement
is 9y+3=0 a nonlinear ?
Answer:
Its not nonlinear
Step-by-step explanation:
Answer:
no, it is a linear function as y has a degree of 1
Please answer this!!
Answer: Choice C. 110ft
Step-by-step explanation:
Near a 30,60,90 triangle, multiply by [tex]\sqrt{3}[/tex] to approximate the distance from point B to the tree.
Answer:
82
Step-by-step explanation:
I want to say 82 but i am not positive
the angle of elevation to a nearby tree from a point of the ground is measured to be 39 degrees
Answer:
66.4
Step-by-step explanation:
tan(39)=x/82
x=tan(39)×82
x=66.4 (rounded to the nearest tenth)
Answered by GAUTHMATH
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Answer:
One solution: 0x + 0.5y = 0
Step-by-step explanation:
9x + 4y = 36
6x + 2.5y = 24
2 * Eq. 1
18x + 8y = 72
-3 * Eq. 2
-18x - 7.5y = -72
Add the multiples of the equations.
0x + 0.5y = 0
Answer: One solution: 0x + 0.5y = 0
The linear combination that reveals the number of solutions to the system is as follows:
One solution: 0x + 0.5y = 0
The system of linear equation is as follows:
9x + 4y = 36
6x + 2.5y = 24
He multiplied the first equation by 2 and the second equation by –3. Therefore,
Combined equation:18x + 8y = 72
-18x - 7.5y = -72
Therefore, let's add the equation
0x + 0.5y = 0
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Describe the solution to the inequality. r < –3
Answer:
98
Step-by-step explanation:
Problem 3 Find the value of x.
value of x should be 3.2 units
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Please help me I’m struggling
