HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!!!!
2. ⦁ Justify each step in solving the equation by writing a reason for each statement.
3. ⦁ Provide reasons for the proof.
PLEASE ANSWER CORRECTLY, THE PICTURES ARE BELOW

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!!!!2. Justify Each Step In Solving The Equation By Writing
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!!!!2. Justify Each Step In Solving The Equation By Writing

Answers

Answer 1

Answer:

1. QS bisects ∠ PQR of Δ PQR.⇒[Given]

2. ∠PQS = 90° [Given]

3.∠PQS =∠RQS ⇒[QS bisects ∠ PQR]

4. .∠PQS +∠RQS =90°  [∴∠PQS = 90°⇒given]

    2∠PQS =90°⇒  [∠PQS =∠RQS ]

   ∠PQS=45°

So,∠PQS =∠RQS =45°

2.∠ 2= ∠ 4 [Given]

⇒∠ 2≅ ∠ 4[ congruency postulate]

∠2  and ∠ 3 are supplementary.⇒°[given]

⇒∠2 + ∠ 3=180° [ By the definition of supplementary].........(1)

∠1 and ∠4 are supplementary.⇒[∠1 and ∠4 form linear pair.]

⇒∠1 +∠4=180°[By the definition of supplementary]..............(2)

⇒∠2 + ∠ 3 =∠1 +∠4 [both of them are equal to 180, so they are equal to each other.⇒ Two things equal to same thing are equal to each other[Euclid postulate]]

⇒∠4 +∠3=∠1+∠4 [∠2=∠4⇒(given)]

⇒∠3=∠1   [law of cancellation]

⇒∠3≅∠1  [ Congruency property]




 





Related Questions

A chocolate store pays its supplier $800 by check. The company records a decrease in cash immediately, but the bank doesn't record a decrease in cash until the supplier later deposits the check. This gives rise to a(n)

Answers

Answer:

The answer is Timing Difference  

Explanation:

Timing distinction is the idea of the bookkeeping that happens because of the change issues. The planning contrast is the term that is amazingly utilized in the money related announcing or tax collection purposes. The technique for computation of the devaluation is distinctive in both monetary bookkeeping and tax collection. Timing contrasts definition. Transitory contrasts between the detailing of an income or cost for budgetary explanations (books) and the revealing of the thing for money impose reason.

a migrating bird flies 420 miles in 14 hours how many miles does it fly in 5 hours

Answers

150 because if it is going 420 in 14 hours you divide 420 by 14 which gives you 30 and then you multiply 30 x 5 and you get 150 so the bird goes 150 miles in 5 hours

It will fly 150 in 5 hours

which of the following is the correct graph of the solution to the inequality −8 −5x + 2 > −38?

Answers

[tex]-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7[/tex]

Answer:

  x  <  6.4  

Step-by-step explanation:

given,

       -8 - 5 x + 2 > -38

           - 5 x - 6 > -38

adding both side by 6

           - 5 x - 6 + 6  > -38 + 6

             - 5 x  > -32

multiplying both side by (-1)

                5 x  <  32        

on multiplying by negative sign the inequality direction changes

                  x  <  6.4  

the graph is shown in the figure attached below. the shaded region shows the required area.

Which compound sentence has its solution set shown on the graph below

Answers

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.

“Or” indicates that, as long as either statement is true, the entire compound sentence is true.

Now as shown in the graph, the solution inequality of the graph is :

x > 3 and x < 5   [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]

Now let's solve each option to find if it fits in with the above inequality

Option 1 : 2x-4 > 6 or 3x < 9

⇒ x > 5 or x < 3

Option 2 : 2x - 4 < 6 and 3x > 9

⇒ x < 5 and x > 3

Option 3 : 3x + 8 > -7 or -4x < 12

⇒ 3x > -15 or x < -3

⇒ x > -5 or x < -3

Option 4 : 3x + 8 < -7 and -4x > 12

⇒ 3x < -15 and x > -3

⇒ x < -5 and x > -3


So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9

has its solution set on the graph.


Which number is a solution of a inequality b>10.6 a.-9 b.10 c.10.6 d.11

Answers

D would be the answer

Answer:

y=9x+1.6

This is the right answer but there are slightly different equations similar

please help me out with question 2

Answers

n = 8

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n )} }{1-r}[/tex]

where a is the first term and r the common ratio

here a = 16 and r = [tex]\frac{64}{-32}[/tex] = [tex]\frac{-32}{16}[/tex] = - 2

[tex]S_{n}[/tex] = ( 16( 1 - ( - 2 )^n )/1 - (- 2 )) = - 1360

[tex]\frac{16}{3}[/tex] ( 1 - (- 2 )^n ) = - 1360

multiply both sides by [tex]\frac{3}{16}[/tex]

1 - (- 2 )^n = - 255

- (- 2 )^n = - 256

)-2)^n = 256

note that [tex]2^{8}[/tex] and [tex](-2)^{8}[/tex] = 256

hence n = 8



In the figure below, lines m and n are parallel: In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4?

Answers

Answer:

answer is 77

Step-by-step explanation:

The required, based on the provided information and the properties of parallel lines and transversals, the angle ∠7 measures 77° as well.

In the given scenario, it is stated that line m and line n are parallel lines, and they intersect at a point when a transversal line is introduced. This situation is depicted in the accompanying figure.

Within this configuration, Angle ∠2 is measured to be 77°, and it is situated opposite Angle ∠4. Due to the nature of parallel lines and transversals, corresponding angles are congruent. Consequently, the measure of ∠7, which corresponds to ∠2, will also be 77°.

Therefore, based on the provided information and the properties of parallel lines and transversals, we can ascertain that angle ∠7 measures 77° as well.

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QUICK HELP PLEASE WILL GIVE BRAINLIEST

Answers

is it multiple choice


the International Space Station orbits the earth 5475 times each year write a column addition problem to find out how many times it orbits the earth in 4 years

Answers

21,900 that's your anwser

ISS completes 21,900 orbits around the Earth in four years.

To calculate how many times the International Space Station (ISS) orbits the Earth in 4 years, we would set up a column addition problem where we add the number of orbits per year 5475 times for each of the four years. Here is the problem set up for column addition:

 5475
+ 5475
+ 5475
+ 5475
------

When we add these numbers, the total will give us the number of orbits completed in four years.

The addition is as follows:

 5475
+ 5475
+ 5475
+ 5475
------
21900

Therefore, the ISS completes 21,900 orbits around the Earth in four years.

Whats the area of the shaded regions (show work)

Answers

You need to show the pictures for us to answer.

I am a square number. The sum of my digits is 7. what square might i be?

Answers

Thee answer is 25. 25 is a square number as it is 5 times 5. The sum of the digits 2+5 is 7.

The square is either 25 or 16.

What is number puzzle?

Number puzzles have specific set of rules, you first has to figure out the pattern being followed and then answer the puzzle according to the pattern.

According to question,

the sum of two digits must be 7.

Take some instances,

1+6= 7

where 16 is a square of 4.

2+5=7

where 25 is square of 5.

3+4=7

where either 34 or 43 both are not the perfect square of any number.

The possibilities of a number can be either 16 or 25.

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Madeline is asked to analyze the true statements shown. If two lines meet at a 90 angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes.

A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.
B. Based on the law of syllogism, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.
C. Based on inductive reasoning, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.
D. Based on inductive reasoning, if two lines have opposite reciprocal slopes, then they meet at a 90 angle.

Answers

Answer: A. Based on the law of syllogism, if two lines meet at a 90 angle, then they have opposite reciprocal slopes.

Step-by-step explanation:

Law of Syllogism which is also known as reasoning by transitivity is a valid argument method of a deductive reasoning that follows a sequence.

Its similar to the transitive property of equality, which states that if a=b and b=c then a=c

The given statement :  If two lines meet at a 90 angle, they are perpendicular. If two lines are perpendicular, they have opposite reciprocal slopes.

let a →" two lines meet at a 90 angle"

b→ "two lines are perpendicular are perpendicular"

c→" two lines have opposite reciprocal slopes"

Since a→b and b→c

Therefore by law of syllogism, a→c

i.e. If two lines meet at a 90 angle, then they have opposite reciprocal slopes.

A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
a. How many units does the company need to sell to reach the maximum profit? b.What's the company’s maximum profit?

Answers

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

plz help whith question!?.

Answers

5.5 because it much larger and faster

i believe Courtney would win because she is going furthest per cm/minute

the low temperature yesterday was -5 degrees F. the temperature rose as many degreese above zero as the low temperature was below zero to reach the high temperature. wich expression could be used to find the number of degrees between the low and high temperatures? A. 0-5
B. -5+5
C. 5+5
D. -5+0

Answers

it is b i know it -5-5=0

Final answer:

The correct expression to find the temperature difference between the low and high temperatures when the temperature rose as much above zero as it was below zero is 5 + 5 degrees, which equals 10 degrees in total.

Explanation:

The question involves finding the difference in temperature from a low of -5 degrees Fahrenheit to a high that is as many degrees above zero as the low was below zero. To calculate the difference, we consider the increase in temperature from the low to 0 degrees, which is 5 degrees, and then the additional increase to the high temperature, which is also 5 degrees above zero. Therefore, the total change in temperature is 5 degrees (to get to zero) plus another 5 degrees (to reach the high), totaling 10 degrees.

The correct expression to find the number of degrees between the low and high temperatures would be C. 5 + 5, representing the increase from -5 degrees to 0, and from 0 to +5 degrees, respectively.

Pls explain for each answer you pick pls

Answers

all except the third selection are 0.

-12+12= 0
8+(-8)=0
-5+-5= -10
-20+20=0
-2,000+2,000=0

follow the the rules of integers

So here is how it would go

-12+12 = 08+(-8) = 0-5+-5 = -10-20+20 = 0-2000+2000 = 0

To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies. The expression below describes this situation.

22x+54.35

In this expression, what is the coefficient and what does it describe?

Answers

co·ef·fi·cient

ˌkōəˈfiSHənt/Submit

noun

1.

MATHEMATICS

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).

So, 22 is your coefficient.

Final answer:

In the mathematical expression 22x + 54.35, the coefficient is 22. It describes how much the teacher spends in dollars each time she restocks her classroom supplies. The constant term '54.35' represents the initial spending at the start of the school year.

Explanation:

In the given expression 22x + 54.35, the coefficient is 22.

The coefficient, in this context, represents the cost (in dollars) that the teacher spends each time she restocks her classroom supplies. Every time the teacher purchases more supplies during the school year, she is spending $22, hence the '22' is multiply by 'x' which indicates the number of times these supplies are restocked.

The constant term '54.35', on the other hand, represents the initial amount the teacher spends at the start of the school year. To summarise, '22x' describes the total expense on supplies restocked during the year, and '54.35' is the initial expenditure.

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there is a picture with the questiom above

Answers

Answer:

its 10.55

Step-by-step explanation:

because he started with 12.50 spend 6.95 and neede 5 more

Answer:

its 10.55

Step-by-step explanation:

because he started with 12.50 spend 6.95 and needs 5 more in order to get the next

Please mark brainiest

Can anyone help with this please

Answers

1/30 simplified your welcome for the help

1/30 is the answer. hope it helps

find two consecutive odd numbers whose sum is 144

Answers

71 and 73 are two consecutive odd numbers that add to 144

Two consecutive odd numbers are 71 and 73 such that their sum is 144.

Continually following one another in a regular counting order or in the order of smallest to greatest are numbers known as consecutive numbers.

Let first odd number is x

then second consecutive odd number will be x+2

Given that the sum is 144

So,

x+(x+2)=144

On solving and adding like terms

2x+2=144

On subtracting 2 both sides

2x+2-2=144-2

2x=142

On dividing 2 both sides

x=142/2

x=71

Thus, two consecutive odd numbers are 71 and 73.

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a culture of 2.4 x 10^11 bacteria is in petri dish. A culture of 8×10^9 bacteria is in petri dish B. how many times greater is the number of bacteria in a petri dish A than petri dish B? enter your answer, in standard notation down below

Answers

2.4×10¹¹=240000000000
8×10'9= 8000000000
240000000000÷8000000000=30
so A is ×30 greater that B

2.4×10¹¹=240000000000

8×10'9= 8000000000

240000000000÷8000000000=30

so A is ×30 greater that B

determine the percent change between $7.50 and $9.00

Answers

the change will be 1.50 because 7.50 minus 9.00 is 1.50

Final answer:

The percent change between $7.50 and $9.00 is calculated by subtracting the initial value from the final value, dividing that by the initial value, and multiplying by 100%. This results in a percent change of 20%.

Explanation:

The percent change between two values is calculated by subtracting the initial value from the final value, dividing the result by the initial value, and then multiplying by 100%. In your case, you want to find the percent change between $7.50 and $9.00.

Start by subtracting the initial value ($7.50) from the final value ($9.00). This gives us $1.50.

Then, divide $1.50 by the initial value ($7.50), giving us 0.2.

Finally, multiply 0.2 by 100% to get the percent change, which is 20%. So the percent change between $7.50 and $9.00 is 20%.

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12) The radius of a sphere is 7 in. What is the sphere's volume? Round to the nearest tenth, if necessary. A) 723.2 cm3 B) 1436.8 cm3 C) 1868.2 cm3 D) 2052.5 cm3

Answers

Given the radius [tex] r [/tex], the volume of a sphere is

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

So, in your case, the volume is

[tex] \dfrac{4}{3}\cdot 7^3 \pi= \dfrac{1372}{3}\pi \approx 1436.7550402[/tex]

So, the closest option is 1436.8 cm3

Hey there!!

The volume of a sphere =

... [tex]\frac{4}{3} \pi r^{3}[/tex]

'r' is the radius.

The radius is given by 7 in.

The volume =

... [tex]\frac{4}{3} \pi 7^{3}[/tex]

... [tex]\frac{4}{3}(3.14)(343)[/tex]

... [tex]\frac{4}{3}(1077.02)[/tex]

... [tex]4(359.19)[/tex]

... [tex]1436.76[/tex]

Hence, the volume is 1436.8 cm³ as stated in option(B)

Hope my answer helps!

Solve for x 5a/x = 5b/ x-1

Answers

If you cancel out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b)

Final answer:

To solve the equation 5a/x = 5b/(x-1) for x, multiply both sides of the equation by x(x-1) to clear the fractions. Simplify and solve for x by isolating it on one side of the equation.

Explanation:

To solve the equation 5a/x = 5b/(x-1) for x, we need to clear the fractions by multiplying both sides of the equation by the common denominator, x(x-1). This gives us 5a(x-1) = 5bx. Expanding the equation, we get 5ax - 5a = 5bx. Rearranging the terms, we have 5ax - 5bx = 5a. Factoring out x, we get x(5a-5b) = 5a. Finally, dividing both sides by (5a-5b), we can solve for x as x = 5a/(5a-5b).

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I put this into my calculator but it keeps coming out as "error" :/ not sure if it's just my calculator or something with the problem

Answers

your calculator says error because you cant have a square root of a negative number because there is no solution to that maybe recheck your equation and try again

Multiply. (7.1×104)⋅(4.8×103)

Answers

365064.96 thats what i got hope it helps


Determine the smallest integer value of x in the solution of the following inequality

4x+10>=11

Answers

4x+10 >= 11

4x+10-10 >= 11-10 .... subtract 10 from both sides

4x >= 1

4x/4 >= 1/4 .... divide both sides by 4

x >= 1/4

x >= 0.25

This means  x must be 0.25 or larger. The next integer closest to 0.25, that is above 0.25, is the value 1.

So x = 1 is the smallest integer solution possible.

A culture of 2.4X10^11 bacteria is in a Petri dish A. A culture of 8X10^9 bacteria is in Petri dish B. How many times greater is the number of bacteria in Petri dish A than patri dish B. Enter your answer in standard notation in the box.

Answers

A culture of 2.4 × 10^11 bacteria is in a Petri dish A

A culture of 8 × 10^9 bacteria is in Petri dish B

Number of times number of bacteria in Petri dish A is greater than that number in Petri dish B:

[tex]\frac{Number of bacteria in Petri dish A}{Number of bacteria in Petri dish B} = \frac{2.4 * 10^11}{8 * 10^9}[/tex]

Divide 2.4 by 8 to give 0.3

Divide 10^11 by 10^9 to give 10^(11-9) = 10^2

The answer is 0.3 × 10²


a scale drawing of a school bus has a scale of 0.5 inch to 5 feet. if the length of the school bus is 4.5 inches on the scale drawing, what is the actual length of the school bus

Answers

4.5 divided by 0.5=9
9 times 5=45

45 feet

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

Answers

Aswer:  9 /  4  sqrt 3

Solution:

Perimeter: P=9 inch

Area: A=?

A=(1/4) sqrt(3) L^2

Side of the triangle: L

We need the side "L" of the triangle:

We know: P=3 L

Replacing the perimeter in the equation above:

9 inch=3 L

Solving for L: Dividing both sides of the equation above by 3:

(9 inch) / 3 = 3 L /3

3 inch = L

L = 3 inch

Replacing L=3 inch in the formula of Area:

A=(1/4) sqrt(3) L^2

A=(1/4) sqrt(3) (3 inch)^2

Squaring:

A=(1/4) sqrt(3) (9 inch^2)

Multiplying:

A=(1*9)/4 sqrt(3) inch^2

A=9/4 sqrt(3) inch^2

Answer:

9√3/4

or

9/4√3

Step-by-step explanation:

P=3a=9⇒a=3 inches.

The area of the equialteral triangle is

A=\dfrac{a^2\sqrt{3}}{4}=\dfrac{3^2\sqrt{3}}{4}=\dfrac{9\sqrt{3}}{4}\ \text{sq. in}.A=4a23=4323=493 sq. in.

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