What is the length of line segment KJ?
A. 2√3 units
B. 3√2 units
C. 3√5 units
D. 3√3 units
Answers
= 90°
Using Pythagora's Theorem,
KJ² = 6² + 3²
KJ² = 45
KJ = √45
= √9√5
= 3√5
The answer is C. The length of line segment KJ is 3√5 units.
Answer:
the answer is the option C
[tex]KJ=3\sqrt{5}\ units[/tex]
Step-by-step explanation:
we know that
The triangle KMJ is a righ triangle
so
Applying the Pythagoras Theorem
[tex]KJ^{2}=KM^{2}+MJ^{2}[/tex]
in this problem we have
[tex]KM=6\ units[/tex]
[tex]MJ=3\ units[/tex]
substitute
[tex]KJ^{2}=6^{2}+3^{2}[/tex]
[tex]KJ^{2}=45[/tex]
[tex]KJ=\sqrt{45}=3\sqrt{5}\ units[/tex]
Related Questions
Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)
Answers
This equation models a circle with a center of (-2 , 3) and a radius of 9
To check the point (6,3) how far is it from the center (-2,3):
using the distance formula:
[tex] \sqrt{(3-3)^2+(-2-6)^2} = \sqrt{0+8^2} = \sqrt{64} =8[/tex]
therefore, this point lies INSIDE the circle, not on it nor outside it.
It is an interior point.
HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?
Answers
Which statement is true about this argument?
Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.
Answers
The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.
Explanation:The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:
If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.So, the argument is valid and the conclusion is correctly drawn from the premises.
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What's 17= z- (-9) days
Answers
Therefore
17 = z - (-9)
is the same as
17 = z + 9
To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.
17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8
So the answer is z = 8
---------------------------
Check:
17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out
The calculated value of z in the equation 17 = z - (-9) is 8
How to determine the value of z in the equation
From the question, we have the following parameters that can be used in our computation:
17 = z - (-9)
When the bracket is evaluated, we have
17 = z + 9
So, we have
z = 17 - 9
Evaluate
z = 8
Hence, the value of z in the equation is 8
Exactly four angles of a hexagon are congruent. the other two angles are complementary. what is the measure of one of the four congruent angles?
Answers
complementary means 2 angles add up to 90
So we can subtract that from 720
that means the remaining 4 angles = 630
630/4 = 157.5
if x=6 can the <'s be supplementary
I completely messed up and need help...
Answers
10*x+46 = 10*6+46 = 60+46 = 106
So the angle on the left is 106 degrees
If x = 6, then the value of 12x+14 is...
12*x+14 = 12*6+14 = 72+14 = 86
The angle on the right is 86 degrees
In summary so far, we have
(10x+46) degrees change to 106 degrees
(12x+14) degrees change to 86 degrees
Adding up the two angles would lead to 106+86 = 192
The result is not 180 so the angles cannot be supplementary.
what would 6x-4=10 be?
Answers
6x=14
x = 14/6
x=7/3
Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?
Answers
now, looking at the first set, notice their slopes... are they the same? no.. ok, that means they're not parallel then.
are they perpendicular? well, only if their slopes are negative reciprocal. let's check
[tex]\bf slope\implies 4\implies \cfrac{4}{1}\qquad negative\implies \cfrac{-4}{1}\qquad reciprocal\implies -\cfrac{1}{4}[/tex]
low and behold, the negative reciprocal of 4 is the slope of the second equation, so they ARE indeed perpendicular.
now, let's check the second set.
[tex]\bf \begin{cases} 2x-3y=12\\ \qquad 2x-12=3y\\\\ \qquad \cfrac{2x-12}{3}=y\\\\ \qquad \stackrel{slope}{\cfrac{2}{3}}x-4=y\\\\ y=\stackrel{slope}{2}x+5 \end{cases}[/tex]
notice their slopes, are they the same slopes? no, so they're not parallel then, are they negative reciprocal of each other? well, negative reciprocal of 2 is -1/2, so no, they're not, so they're not perpendicular.
well, then, but the slopes differ, that means, they do intersect somewheres, not at a right-angle, but they do, so they're only intersecting.
btw, a coincident set, will be when both are exactly the same equation, none of them on either set are.
3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.
Answers
2,432×24(semimonthly)
=58,368 per year
Company B offer
2,390×26 (biweekly)
=62,140 per year
So company B pays a greater annual salary
Hope it helps!
Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)
Answers
x = (1 board)/(12 hours) = 1/12 mb/hr
Johnathan works at the rate
y = (1 board)/(16 hours) = 1/16 mb/hr
The combined working rate is
1/12 + 1/16 = 7/48 = 0.1458 mb/hr
The time to build a mother board (mb) when working together is
(1 mb)/(0.1458 mb/hr) = 6.8587 hrs = 7 hours (nearest hour)
Answer: 7 hours
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
Answers
2x = 6
x = 3
Plug x = 3 into the first equation:-
3 + 2y = 7
2y = 7 - 3 = 4
y = 2
Answer is x = 3 and y = 2
The solution of the system of equations is (3, 2)
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is a system of equations,
x + 2y = 7......(i)
x - 2y = -1
x = 2y - 1.....(ii)
Put eq(ii) in eq(i)
2y-1+2y = 7
4y = 8
y = 2
Put y = 2 in eq (ii)
x = 2(2)-1
x = 4-1 = 3
Hence, the solution of the system of equations is (3, 2)
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Reading left to right, a negative slope looks like a line going ________, while a positive slope looks like a line going ________.
Answers
Which of these is equal to the value of 9-(-5)?
Answers
a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.
Answers
54.68*12=656.16
656.16/60=10.936
The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.
Answers
a+b+c=d
To make it simpler, let's just say that 'a' is the largest integer
In that case, d-50=a
I could give you some convoluted equation to find your integers but honestly, checking and guessing is easier.
I just ran through a couple sets of numbers in my brain, although I'd suggest actually writing down your thought process.
These are the integers I got:
20, 30, and 50
Keep in mind, however, that there are multiple correct answers to this problem.
Transformations of polynomial functions
Answers
Since the 2 is outside the parentheses (or there are no parentheses in this case) then it will simply be a vertical translation 2 units down.
g(x)= (x+4)^2
Since the 4 is inside the parentheses then we know the translation will be horizontal. When translating horizontally a + sign indicates translating left and a - sign indicates translating right. So this would be a Horizontal translation 4 units left.
~I hope this helps!~
The requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The transformation from g(x) = x² - 2 to g(x) = (x + 4)² involves a horizontal translation of 4 units to the left. This means that the vertex of the parabola has shifted 4 units to the left from its original position. Additionally, there is no vertical translation (i.e., the value of "a" remains the same), and the shape of the parabola remains the same. Therefore, the transformation is a horizontal translation.
Thus, the requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
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Evaluate A2 for A = -3.
Answers
Or If you are solving A•2 then the answer is -6.
Answer: The required value of A² is 9.
Step-by-step explanation: We are given the following value of a variable A :
[tex]A=-3.[/tex]
We are to find the value of [tex]A^2.[/tex]
To evaluate [tex]A^2,[/tex] we need to multiply A and A.
Therefore, the evaluation is as follows :
[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]
Thus, the required value of A² is 9.
Which property is NOT used when solving 15=2x-1
Answers
The associative property is not used when solving the given equation.
Explanation:The property that is NOT used when solving the equation 15=2x-1 is the associative property.
The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.
Thus, the answer to the equation is:
15 = 2x - 1
Solving for x:
15 + 1 = 2x
16 = 2x
Divide both sides by 2:
16/2 = x
8 = x
Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?
Answers
convert 3.5 to 3 and 1/2 then to 7/2
(7/2)/(2/3)
remember that
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]
so
[tex]\frac{\frac{7}{2}}{\frac{2}{3}}=\frac{(7)(3)}{(2)(2)}=\frac{21}{4}=[/tex]
[tex]\frac{20}{4}+\frac{1}{4}=[/tex] 5 and 1/4 liters per hour or 5.25 liters per hour
jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check
Answers
Kelly has $25 in her purse, and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante have?
A: d-25
B:25d
C:25-d
D:25+d
Answers
you are adding the dollar amounts of both to find the total between the 2
Answer:
Option D: 25 + d
Step-by-step explanation:
Kelly is having money in her purse = $25
Dante has in his wallet = $d
By adding both value we can get the total amount that Kelly and Dante have.
Therefore, 25 + d is the expression that represents the total amount that Kelly and Dante have.
Option D: 25 + d is the answer.
The penny size d is given by the literal equation d = 4n - 2, solve for n
Answers
d = 4n -2
d + 2 = 4n
(d+2)/4 = n
Hope this helped!
Please help! I am confused
Answers
I hope this helps!
Good Luck!
Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.
Answers
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.
Calculate the number of times d₁ is greater than d₂.
[tex] \frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859[/tex]
Answer: 7.7759 x 10⁻¹ times
Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.
Explanation:The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.
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martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.
Answers
Martin = m
Natalie = n
m + 2 = n - 3 m - n = -5
m +n = 29
Solving a system of equations:
m-n=-5
m+n=29
2m = 34
m = 17
So, n is 22
Hope this helps!
25900.1000 in scientific notation
Answers
259001 x 10^4 is the answer
Find the midpoint of modifying above AB.
(4.5, 4.5)
(1.5, 1.5)
(3, 3)
(2, 2)
Answers
Say the coordinates of the point A are (a1, a2) and the coordinates of point B are (b1,b2).
The midpoint is found using this.
x = (a1+b1)/2 and y = (a2+b2)/2
So, the coordinates of the midpoint are (a1+b1)/2 , (a2,b2)/2.
With that you can solve your question known the coordinates of points A and B.
Answer: Im guessing B. (1.5, 1.5)
Once I enter my test ill come back and edit.
Its correct! good luck on your test! :)
Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π
Answers
Answer:
200.96 square inches
Step-by-step explanation:
I took a quiz with this question and I got an A
Find the equation of a circle which is tangent to x-axis and whose center is at (4,2)
Answers
an equation x-axis is y= 0
the ridus is the distance betwen the center and x-axis :
r = |(0)(4)+(1)(2)+0 |/√((0)²+(1)²) = 2/1 =2
an equation of the circle is : (x- 4)²+(y-2)² = 4
A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes
Answers
Simply take 1389.93 x 0.07 = 93.something
subtract 93.something from 1389.93 and bam!
Ans = 1292.6349
Answer:
Cost of the computer before taxes is $1299.
Step-by-step explanation:
Let the price of the computer before taxes is = $x
Tax rate on this computer = 7%
Therefore, computer cost including tax = (x + 7% of x)
= [tex]x+\frac{7x}{100}[/tex]
= x + 0.07x
= $(1.07x)
Cost of the computer including tax is given as $1389.93.
Therefore, 1389.93 = 1.07x
x = [tex]\frac{1389.93}{1.07}[/tex]
= $1299
Cost of the computer before taxes is $1299.