The image of ΔABC after a reflection across Line E G is ΔA'B'C'.

2 triangles are shown. Line E G is the line of reflection. Line segment D D prime has a midpoint at point F. Line segment C C prime has a midpoint at point G. Points B and B prime share a point. Angle C G F is a right angle.
Which triangle must be a right triangle and why?

ΔA'B'C' is right because it is the image of ΔABC.
ΔADC is right because AA' intersects AC at A.
ΔBCC' is right because B lies of the line of reflection.
ΔBGC is right because Line E G is perpendicular-to CC'.

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:

magnitude of a shown vector is

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

Answer:

it's helps with learning the difference of thr compound

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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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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The information could he have used to determine this is C. ∠GLI = 2∠GLH.

An angle is formed from the intersection of two lines. The types of angles are acute, obtuse, and scalene.

∠GLI is bisected by LH, hence:

∠GLH = ∠HLI (definition of bisection)

∠GLI = ∠GLH + ∠HLI (angle addition)

∠GLI = 2∠GLH

The information that can be used to determine this is ∠GLI = 2∠GLH.

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Answer: its C

Step-by-step explanation: on edge

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]

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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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

Answer:

1,29

Step-by-step explanation:

74*2pi/360

ezzzzzz

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: 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:

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!

Answer:

Step-by-step 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]x=1[/tex]

Step-by-step explanation:

[tex]~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1[/tex]

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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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:

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.

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:

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

Step-by-step explanation:

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

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.

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:

A. is correct answer

Step-by-step explanation:

full explanation

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:

$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

Answer:

Step-by-step explanation:

the price of an mp3 player is increased by 8%to £52.92

what was the original price?

52.92 = 108%

52.92 : 108 = 0.49

0.49 * 100 = 49£

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

check

49 * 1.08 = 52.92

the answer is good

An expression is defined as a set of numbers, variables, and mathematical operations. The total number of students is 54.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the number of columns in the rollercoaster be represented by x.

If students sit 4 per row on a rollercoaster, 6 students are left without a seat. Therefore, the number of students can be written as,

Total number of students = 4x + 6

If they sit 6 per row, there are 3 rows left empty. Therefore, the total number of students can be written as,

Total number of students = 6(x-3)

The total number of students can be written as,

4x + 6 = 6(x - 3)

4x + 6 = 6x - 18

2x = 24

x = 12

Now, the total number of students in the class are,

4x + 6 = 4(12) + 6 = 54

Hence, the total number of students are 54.

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