Solve for the value of x:-
4x+3(x-1)=67​

Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY

The ray that bisects the angle into half is called Angle Bisector.

It is given that ∠XOY = 60 degree

the length of OX = 4.5 cm

OY =5 cm

The point M is on OX such that

OM = 2 MX

so The M is at 3 cm from O

The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M

According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides  then it lies on the bisector of that angle.

As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at

By Pythagoras Theorem

3² +3² = OP²

OP = 2[tex]\sqrt{3}[/tex] = 3.46 cm from O

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Answer:

$200

Step-by-step explanation:

Consider the original price be x

As per the question

Solving the equation yields:

In conclusion

the original price of the jacket was $200

a) The person will save $15,120 by the day before his 60th birthday. b) David would have had £2000 when he is 37 years old.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

a) Let x be a number of months.

Now, we will find a number of years between 60 and 18 years.

There will be 42 years from 18th birthday to 60th birthday.

Now, we will convert 42 years into months.

42 × 12 = 504

In order to find the total amount saved in 504 months, we will substitute  in expression:

30x = 30(504) = 15120

Hence, the person will save $15,120 by the day before his 60th birthday.

b) David starts saving £100 annually from his 18th birthday

We would save £2000 after

(2000/100) years = 20 years

Since his 18th birthday is the first of the 20 years and so he will save £950 for the next 19 years, which is

18 + 19 = 37 years old

Hence, David would have had £2000 when he is 37 years old.

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Answer:

1, 2, 3, 4, 6, 8, 12, and 24. Factors of 24 include negative numbers.

Step-by-step explanation:

Answer:it is o to 10/5 which is 1/

Step-by-step explanation:

Answer:

A. is correct answer

Step-by-step explanation:

full explanation

Answer:

4 1/2 hours

Step-by-step explanation:

first i subtracted 1.3 from 4 and got 2.7

Next i just multiplied 0.6 by random numbers ubtil i got something close to 2.7

i ended up with 2.4 when I multiplied 0.6 by 4

it still is .3 short

since it takes an hour for the candle to burn, then if you cut it in half, that means 30 minutes

therfore, 4.5 hours

Answer:

[tex]\sf r^6[/tex]

Step-by-step explanation:

         [tex]\boxed{\bf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]

In exponent division, if bases are same, subtract the powers.

 [tex]\sf \dfrac{r^9}{r^3}=r^{9-3}=r^{6}[/tex]

Answer:

Conclusion : it lives in the water

Step-by-step explanation:

Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.

therefore, for the given statement,

the 'then' part is 'it lives in the water'

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The expression that's in the simplest term will be -12a² + b².

It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.

In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.

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Answer:

F(-2) = 7

Step-by-step explanation:

 Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.

For this specific function [F(x) = x² + 3], substitute x for -2.

F(-2) = (2)² + 3

Next, solve the equation.

F(-2) = 4 + 3

F(-2) = 7

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

Required answer: f(2) = -1

Detailed explanation:

To find f(-2), we will substitute -2 for x in the function:

[tex]\bf{f(x)=-x^2+3}[/tex]

[tex]\bf{f(-2)=-(-2)^2+3}[/tex]

[tex]\bf{f(-2)=-4+3}[/tex]

[tex]\bf{f(-2)=-1}[/tex]

[tex]\hrulefill[/tex]

Have a wonderful day!

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

In the given Image, ∠a and ∠b are supplementary angles to each other. Therefore, the correct option is C.

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The expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]

From the question, we are to determine which of the expressions is equivalent to the given expression

The given expression is

[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]

The expression can be simplified as

[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]

[tex]\frac{6\sqrt{z}}{\sqrt[3]{8z}}[/tex]

[tex]= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}[/tex]

[tex]= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}[/tex]

[tex]= 3\times z^{\frac{1}{2} -\frac{1}{3}}[/tex]

[tex]= 3\times z^{\frac{1}{6}}[/tex]

[tex]= 3\times\sqrt[6]{z}[/tex]

[tex]= 3\sqrt[6]{z}[/tex]

Hence, the expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]

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Answer:

magnitude of a shown vector is

[tex]4 \sqrt{5} [/tex]

Answer:

The answer would be 125, because 1*1 = 1 2*2*2= 8 and so forth

Step-by-step explanation:

I hope this helps

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Your equation:}[/tex]

[tex]\mathsf{1, 8, 27, 64, ?}[/tex]

[tex]\huge\textbf{LET'S CONVERT IT TO FOR EASIER}\\\\\huge\textbf{TO UNDERSTAND A WHOLE LOT}\\\\\huge\textbf{BETTER.}[/tex]

[tex]\mathsf{1^3, 2^3, 3^3, 4^3, ?}[/tex]

[tex]\huge\textbf{Notice the pattern?}\\\\\\\\\huge\textbf{So, that means your mystery number}\\\\\huge\textbf{has to be squared (also known as to the}\\\\\huge\textbf{power of 3}[/tex]

[tex]\huge\textbf{Breaking down the exponents}[/tex]

[tex]\mathsf{1^3}\\\mathsf{= 1\times1\times1}\\\mathsf{= 1\times1}\\\mathsf{= \bf 1}[/tex]

[tex]\mathsf{2^3}\\\mathsf{= 2\times2\times2}\\\mathsf{= 4\times2}\\\mathsf{= \bf 8}[/tex]

[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]

[tex]\mathsf{4^3}\\\mathsf{= 4\times4\times4}\\\mathsf{= 16\times4}\\\mathsf{= \bf 64}[/tex]

[tex]\huge\textbf{If you didn't notice that your}\\\\\huge\textbf{exponents went like 1,2,3,4.}\\\\\\\\\huge\textbf{so that your mystery number has to}\\\\\huge\textbf{be 5 squared}[/tex]

[tex]\mathsf{5^3}\\\\\huge\textbf{That is what I meant \& this should give}\\\\\huge\textbf{you your result to this question.}[/tex]

[tex]\mathsf{5^3}\\\mathsf{= 5\times5\times5}\\\mathsf{= 25\times5}\\\mathsf{=125}[/tex]

[tex]\huge\textbf{The result:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ B. \ 125}}\huge\checkmark[/tex]

[tex]\huge\textbf{The outro}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

[tex]\huge\textbf{Signature}[/tex]

Answer:

The first statement is true so Shannon is incorrect.

Step-by-step explanation:

Volume of the pyramid with base  20 and h = 6

= 1/3 * base area * height

= 1/3 * 20 * 6

= 40 unit^3.

Answer: The solution is x=7.  

Step-by-step explanation: Using the segment addition posyulate we can find the measure of the segment. given it is 4, 5, 8.

Explanation:

Building proportional relationships

[tex]\sf \dfrac{XA}{XY} = \dfrac{XB}{XZ}[/tex]

21.

[tex]\sf \rightarrow \dfrac{5}{XY} = \dfrac{10}{18}[/tex]

[tex]\sf \rightarrow XY = \dfrac{5(18)}{10}[/tex]

[tex]\sf \rightarrow XY = 9[/tex]

Then find AY

[tex]\sf AY = XY - XA[/tex]

[tex]\sf AY = 9 - 5[/tex]

[tex]\sf AY = 4[/tex]

[tex]\hrulefill[/tex]

22.

[tex]\rightarrow \sf \dfrac{10}{25} = \dfrac{XB}{XB + 3}[/tex]

[tex]\rightarrow \sf 10(XB + 3) = 25XB[/tex]

[tex]\rightarrow \sf 10XB + 30 = 25XB[/tex]

[tex]\rightarrow \sf 25XB-10XB = 30[/tex]

[tex]\rightarrow \sf 15XB = 30[/tex]

[tex]\rightarrow \sf XB = 2[/tex]

Then find XZ

[tex]\sf XZ = XB + BZ[/tex]

[tex]\sf XZ = 2 + 3[/tex]

[tex]\sf XZ = 5[/tex]

[tex]\hrulefill[/tex]

23.

[tex]\sf \rightarrow \dfrac{4}{13} = \dfrac{XB}{26}[/tex]

[tex]\sf \rightarrow \dfrac{26(4)}{13} = XB[/tex]

[tex]\sf \rightarrow XB = 8[/tex]

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

please mark me as brainlest

Answer: y-2=1/3(x-3), which is Choice [B]

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem! (:

First, do you remember what the "point-slope" formula is? It's

y-y1=m(x-x1)

Now it's just a matter of sticking in the known values.

y-2=1/3(x-3)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\bigstar\underbrace[/tex]

Answer:

1/

Step-by-step explanation:

There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.

Answer:

1/3

Step-by-step explanation:

DE/AB = EF/BC = FD/CA

15/45 = 9/27 = 8/24 = 1/3

hope this will help u

Answer:

1,29

Step-by-step explanation:

74*2pi/360

ezzzzzz

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

[tex]y=2x-8[/tex]

x = -2

[tex]y=2(-2)-8=-4-8=-12[/tex]

A = -12

x = 0

[tex]y = 2 (0)-8=-8[/tex]

B = -8

x = 2

[tex]y = 2 (2) -8 = 4-8 = -4[/tex]

C = -4

Hope this helps

Answer: 450 Minutes

Step-by step explanation:

135-x)/5 = hours connie runs

x/7 = hours Bonnie runs

(135-x)/5 + x/7 = 24

135-x + 5x/7 = 120

945-7x+5x = 840

-2x = -105

x = 52.5 miles = distance of Bonnie

52.5 miles / 7 m/hr = 7.5 hours = 450 minutes

Answer:

The answer is 90.

Thank you

Answer:

89.6

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is given by °F = °C × (9/5) + 32

F = [ C × (9/5) + 32 ]

Given that, C = 32

F = 32 × (9/5) + 32

F = 32 [ 1 + (9/5) ]

F = 32 [ 1 + 1.8 ]

F = 32 × 2.8

F = 89.6

The points  (2,6) (-4,-7) have a slope of 13/6 which satisfies the perpendicular condition option (B) is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete.

The complete question is:

Line L has a slope of -6/13. The line through which of the following pair of points is perpendicular to L?

A) (6,-4) (-7,2)

B) (2,6) (-4,-7)

C) (6,9) (-4,-4)

D) (13,-4) (-7,2)

Line L slope m = -6/13

If two lines are perpendicular:

(m)(m') = -1

(-6/13)(m') = -1

m' = 13/6

From the points given finding the slope of every point:

A) (6,-4) (-7,2)

[tex]\rm m' =\dfrac{2+4}{-7-6}[/tex]

m' = -6/13

B) (2,6) (-4,-7)

[tex]\rm m' =\dfrac{-7-6}{-4-2}[/tex]

m' = 13/6

Thus, the points  (2,6) (-4,-7) have a slope of 13/6 which satisfy the perpendicular condition option (B) is correct.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \large Scaler : [/tex]

[tex]\qquad \tt \large Vector : [/tex]

____________________________________

[tex] \large \tt Explanation \: : [/tex]

[tex] \textsf{Scaler quantity : } [/tex]

Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.

Operations on Scaler quantities can be done by simple algebraic rules.

Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc

[tex] \textsf{Vector quantity } [/tex]

Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.

Vector algebra is used for operations on vector quantities.

Eg. Impedance, Torque, etc

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

The least number of pens each boy can have brought is 60

We have:

Vincent = 6 packs

Aidan = 20 boxes

Factorize 6 and 20

6 = 1 * 2 * 3

20 = 1 * 2 * 2 * 5

Multiply all factors

LCM = 1 * 2 * 2 * 3 * 5

Evaluate the product

LCM = 60

Hence, the least number of pens each boy can have brought is 60

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Answer:

Step-by-step explanation: