The coordinates of the points T and Q are (4, 2) and (6, 0) respectively. Find vector QT.​

Answer:

Step-by-step explanation:

1) ML // JK , MK is transversal,

∠LMK = ∠MKJ   {Alternate interior angles are congruent}

∠LMK = 30°

In ΔMKO,

30 + 115 + ∠ JLM = 180  {Angle sum property of triangle}

        145 +∠ JLM  = 180

∠ JLM  = 180 - 145

∠ JLM = 35°

2) AB // CD , AC is transversal

∠DCA = ∠BAC     {Alternate interior angles are congruent}

∠DCA = 23

∠BCD = ∠DCA + ∠BCA

          = 23 + 37

          = 60

3) EF // HG ; FH  is transversal

∠FHG = ∠HFE   {Alternate interior angles are congruent}

 ∠FHG = 77

4) ZY // WX ;  WY is transversal

∠ZYW = ∠XWY         {Alternate interior angles are congruent}

            = 65

ZY // WX ;  WY is transversal

∠ZWY = ∠WYX   {Alternate interior angles are congruent}

           = 36

In  ΔWZY

36 +  65 + ∠z = 180

        101 +∠Z = 180

∠Z = 180 - 101

∠Z = 79

Answer: 16:81

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The interior and exterior angle of a polygon is supplementary

let interior be I

let exterior be E

I + E = 180

Since the interior angle is 8 times that of an exterior angle,

8E + E = 180          [replacing I with 8E]  

9E = 180                

E = 20                      

The exterior angle is 20 degrees

I + E = 180          

I + 20 = 180      

I = 160              

The interior angle is 160 degrees.

The equation to find the interior angle of a polygon with 'n' number of sides is:

I = ( (n − 2) × 180 ) ⁄ n

We know the interior angle, so plug it in and solve for n:

160 = ( (n − 2) × 180 ) ⁄ n      

160n = (n − 2) × 180            

160n = 180n − 360                  

-20n = -360                            

n = 18                                  

Answer:

3

Step-by-step explanation:

assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.

Answer:

Splash Island.

Step-by-step explanation:

Magic Park = 32 - 7 = 25 you would have 25 dollars to spend on rides which would only get you 5 rides.

Splash Island = 32 - 14 = 18 this gives you 18 dollars to spend on rides, which would get you 6 rides.

Therefore you can go on more rides at Splash Island.

Hope this helps!

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = - 48/-8  = 6

c = c^2/c^1 = c^(2-1) = c^1

d = d^4 / d^1 = d^(4 - 1) = d ^3

x = 6

e = 1

f = 3

(a) i aint drawing a tree but basically, if left means a boy is born and right means a girl is born, the far left result (both boys) will happen with probability [tex](0.52)^2[/tex], the two middle results (one boy and one girl) will both happen with probablility [tex]0.48 \cdot 0.52[/tex], and the far right result (both girls) will happen with probability [tex](0.48)^2[/tex].

(b) binomial distribution table for what...?

Answer:

[tex]WX=\sqrt{970}[/tex]

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

XR=23 by taking half of 46

[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]

sqrt both sides to get your answer of 31.14

Answer:

[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]

Step-by-step explanation:

The given numbers and their categories are;

1) [tex]-3\dfrac{3}{9}[/tex]  is not a natural number, because, natural numbers are whole number positive integers. It is not an integer, because it is a fraction.

It is a real number, because it has no imaginary part and it is a rational number because it can be expressed as a fraction

2) √11 is not a rational number, because it cannot be expressed as a fraction, and it is real number because it has no imaginary parts.

Therefore, is an irrational and real number

3) 125; The options selected are correct

4) 4·∛125 = 4 × 5 = 20; The options selected are correct

5) 7.[tex]\overline {17}[/tex] = 710/99; Therefore, 7.[tex]\overline {17}[/tex] is a rational number and it is also a real number as all natural, whole, integers, rational, and irrational numbers are real numbers

We get;

[tex]\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}[/tex]

Answer:

i am not sure about this answer but i got r^2+10r+25

Answer:

B

Step-by-step explanation:

A x - 36 <42 is wrong because its saying how many can be added

B x +36 < 42 this one is most likely correct because its displays x as how many can be added

C x - 36 > 42 this is wrong because the bus has less than 42 seats

D x + 36 >57 like i said cant be over 42

The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.

Let x be the number of passengers that can be added to the bus.

It is given that the bus has less than 42 seats and 36 seats are already occupied.

The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.

Therefore the inequality equation becomes,

x + 36 < 42.

Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

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Answer:

Yes, she will be able to retrieve the item

Step-by-step explanation:

The information with regards to the research historian interest in finding a sunken treasure are;

The depth from which the equipment can recover items = 5,000 m

The speed of sound through water, v = 1,530 m/s

The time it takes the echo from the item to return to the sonar detector, t = 6.2 s

Let d, represent the depth at which the item is located

Given that an echo travels from the sonar detector to the item and back to the sonar detector, the distance traveled by the sound wave which is received as an echo by the sonar detector = 2 × d

Velocity, v = Distance/time

∴ Distance = Velocity × Time

The distance traveled by the echo = 2 × d = v × t

2 × d = v × t

∴ 2 × d = 1,530 m/s × 6.2 s

d = (1,530 m/s × 6.2 s)/2 = 4,743 m

The depth at which the item is located, d = 4,743 m is less than the maximum depth the equipment can recover items, therefore, she will be able to retrieve the item.

Answer:

3X +ky=8 eqn 1

X-2ky=5 eqn 2

but we want to eliminate ky to get our X.

So let's multiply eqn 1 by 2.

We will have 6x +2ky=16 now eqn 3

now we add eqn 1 and 2

We will have 7x=21

divide by 7

x=3

Answer:

sink at 1.28 g/cm^3

v = 4/3 [tex]\pi r^{3}[/tex]

v = 4/3 [tex]\pi 1.4^{3}[/tex]

v =11.49 /9 =1.28

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

The range of loads for this washing machine is from 2 to 6 kilograms to ensure energy efficiency and avoid overloading.

Given that,

The washing machine should wash at least 2 kilograms of clothes to use energy efficiently.

To avoid overloading the machine, the maximum weight that should be washed is 6 kilograms.

To find the range of loads for this washing machine,

Determine the minimum and maximum weight that can be washed.

The minimum weight that can be washed is 2 kilograms, as mentioned. And the maximum weight is 6 kilograms, as overloading the machine should be avoided.

Therefore,

The range of loads for this washing machine is from 2 kilograms to 6 kilograms.

This means that any load within this range can be efficiently washed without overloading the machine.

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Answer:

Step-by-step explanation:

Answer:

18.4 In

Step-by-step explanation:

36.8/2

= 18.4 In

that is the procedure above

Answer:

Yes, the function is symmetric about y-axis.

Step-by-step explanation:

To check whether the function is symmetric with respect to y-axis, replace each x as -x and simplify.

If h(x) = h(-x) then it is symmetric about y-axis.

Let's find h(-x) now.

h(-x)= [tex](-x)^4} -5(-x)^{2} +3[/tex]

Let's simplify it

h(-x)=[tex]x^{4}-5x^{2} +3[/tex]

Here, h(x) = h(-x). The function is symmetric about y-axis.

Answer:

O-2(x+5)=2x-10

Explanation

O-2(x+5)=2x-10

SOLUTION

-2x(x)= -2x

-2x+5 = -10

Answer:

x = 6; y = 4

Step-by-step explanation:

y=4

-3x+5y=2

-3x + 5(4) = 2

-3x + 20 = 2

-3x = -18

x = 6

Answer: x = 6; y = 4

Answer:

(6,4)

Step-by-step explanation:

y=4

-3x+5y=2

Substitute y=4 into the second equation

-3x+5*4=2

-3x +20 = 2

Subtract 20 from each side

-3x +20-20 = 2-20

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x=6

(6,4)

Answer:

The correct answer is - C.  11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines intersect and create 4 90 degree angles

Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular

Answer:

isosceles

obtuse

Step-by-step explanation:

We know that one angle is 104 and angles greater than 90 and less than 180 are obtuse

We know that 2 sides are equal indicated by the lines on the sides.  That means the triangle is isosceles

Answer:

m<ECB = 65°

Step-by-step explanation:

<ACB and <ACD are vertical angles. That means they are congruent and have equal measures.

m<ECB = 65°

Answer:

0 because there is no image....

Answer:

(x-2)/3

Step-by-step explanation:

3x^2 -12

------------------

9x+18

Factor

3(x^2-4)

-------------

9(x+2)

Notice the numerator is the difference of squares

3(x-2)(x+2)

--------------------

3*3(x+2)

Canceling like terms

(x-2)

--------

3

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\dfrac{3x^2-12}{9x+18}\\\\ \dfrac{3(x^2-4)}{9(x+2)}\\\\ \dfrac{3(x+2)(x-2)}{3.3(x+2)}\\\\ \dfrac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\\dfrac{x-2}{3}[/tex]

Answer:

86°

Step-by-step explanation:

180-(2*47)

= 180-94

= 86

Answered by GAUTHMATH

Answer:-7

Step-by-step explanation:

24-8i=10-10i

24-10=-10i+8i

14=-2i

I=-7