Given: RS is the perpendicular bisector of AB
Prove: RA ≅ RB

Given: RS Is The Perpendicular Bisector Of ABProve: RA RB

Answers

Answer 1

Answer:

See answer below

Step-by-step explanation:

RS ⊥ bisector of AB                                   Given

AS ≅ BS                                                       Definition of ⊥ bisector

∠RSB is a right angle                                  Given

∠RSB = 90°                                                  Definition of right angle

∠RSB & ∠RSA form a linear pair                Definition of linear pair  

∠RSB + ∠RSA = 180                                     A linear pair = 180°

   90° +  ∠RSA = 180°                                   Substitution

     ∠RSA =   90                                            Subtraction

   ∠RSB = ∠RSA                                            Substitution            

    ∠RSB ≅ ∠RSA                                         If equal then congruent

   RS ≅   RS                                                  Reflexive

  Δ RAS ≅ ΔRBS                                           SAS

      RA ≅ RB                                                 CPCTC    (corresponding parts of

                                                                                     congruent triangles  ≅


Related Questions

Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 feet wide. What is it’s length?

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Im pretty sure the answer is 5.

Step-by-step explanation:

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Which table is y a function of x?

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Answer:

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[tex]\cos 27^{\circ} = \dfrac{KL}x\\\\\implies \cos 27^{\circ} = \dfrac{6.3}x\\\\\implies x = \dfrac{6.3}{\cos 27^{\circ}}=7.1~ \text{units.}[/tex]

−4x + 3y =7
5x − 2y =35
What is the solution?

Answers

Answer:   x = 39/10     y = 29/5

Answer:

(17,25)

Step-by-step explanation:

To find the solution to the system, solve with elimination.

Equation 1.

−4x + 3y =7

Equation 2.

5x − 2y =35

To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.

2(−4x + 3y =7)

-8x+6y=14

3(5x − 2y =35)

15x-6y=105

Combine both equations.

-8x+6y=14

15x-6y=105

7x=119

x= 17

Plug in x into the first equation to solve for y.

-8x+6y=14

-8(17)+6y=14

-136+6y=14

6y=150

y=25

4(d-5)-6=2(8-d)-d what is d

Answers

Answer:

d = 6

Step-by-step explanation:

sorry for late awenser

The value of the equation is d = 6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d   be equation (1)

On simplifying the equation , we get

4d - 20 - 6 = 16 - 2d - d

On further simplification , we get

4d - 26 = 16 - 3d

Adding 3d on both sides of the equation , we get

7d - 26 = 16

Adding 26 on both sides of the equation , we get

7d = 42

Divide by 7 on both sides of the equation , we get

d = 6

Therefore , the value of d is 6

Hence , the equation is d = 6

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.

Answers

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

HELP PLEASEEEE what is the range of 0,5,10,15,20,25
5

11

20

25

Answers

Answer:

25!

Step-by-step explanation:

Subtract the highest and lowest so its 25:)

Answer:

25

Step-by-step explanation:

Range is the largest number minus the lowest

Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?

Answers

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points.  That will be the slope of the tangent to the curve.  Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

 

It's not written as a function, but it can still be differentiated using the chain rule:

 

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

 

(I used parentheses to show the differentiation of each term in the original equation.)

 

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

 

We have the derivative of y, but it's defined partly in terms of y itself.  That's OK.  Let's go on...

 

So where would the slope be infinite?  That would happen when x + 2y = 0, or y = -x/2

 

Let's plug that in for y in the original equation to find points where that's the case.

 

x2 + xy + y2 = 3

x2 + x(-x/2) + (-x/2)2 = 3

x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

x2 = 4

x = ±2

 

So we have two x values where the tangent might be vertical.  Let's plug them into the equation and see what the y values are.  First x = 2...

 

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

(y + 1)2 = 0

y = -1

 

So at the point (2, -1) the tangent is vertical.

 

Now try x = -2...

 

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

(y - 1)2 = 0

y = 1

 

So at the point (-2, 1) the tangent is vertical.


In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?

Answers

Answer:

See image

Step-by-step explanation:

Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x

HELP!!!

n – 3 = ‐1

Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!

Answers

ANSWER:n=2

EXPLANATION: n-3=-1
n= -1+3
n=2

Answer:

n = 2

Step 1: Add 3 to both sides to isolate x.

n – 3 = ‐1

Step 2: Solve

=> n = -1 + 3

Final Answer: Answer to the question.

=> n = 2

Therefore, n = 2 is our answer.

Hoped this helped.

Please hurry and help

15 points

Answers

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

Find the domain of the expression.

the square root of x+5

Answers

See attachment for answer and math work.

Answer:

Step-by-step explanation:

"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)

Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative

SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5

There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.

Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential

Answers

the answer should be B

I really need help, this is probability and statistics, if anyone else is taking this class, please help, it is a unit test study guide.

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Answer:

id like to help but the picture is really blurry so im afraid that i cant. but i know there are others who can!

Step-by-step explanation:

i hope this helps you!

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Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?

Answers

Answer:

About 35 or 34.27 if you round to the tenths spot.

Step-by-step explanation:

514 divided by 15 is 34.27 once rounded.

Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.

Answers

Answer:

1221.2 factor increase

Step-by-step explanation:

It is difficult interpreting the numbers.  I'll assume:

2.25x10^2 and 2.75x10^5

----

225

275000

The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs

There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.

Graph
Y-7=-3/5-(x+2)

Answers

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)

Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.​

Answers

Answer:

(3a + 10)(3a - 10(a - 3).

Step-by-step explanation:

Do a long division:

3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient

              9a^3 + 30a^2

                        -57a^2 - 100a

                        -57a^2 - 190a

                                       90a + 300

                                       90a + 300

                                        ..................

Factorise the Quotient:

3a^2 - 19a + 30

= 3a^2 - 9a - 10a + 30

= 3a(a - 3) - 10(a - 3)

= (3a - 10)(a - 3)

The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?

Answers

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

PLEASE ANSWER FAST....Which expressions have a value equal to or greater than 13?

I WILL MARK BRAINLIEST

Answers

Answer: D and B

Step-by-step explanation:

D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.

B: 4 x 13 is simply 52.

Hope this helps!

A. 5/6 x 13 = 10.83

B. 4 x 13 = 52

C. 3/4 x 13 = 9.75

D. 10/10 (1) x 13 = 13

B. 4 x 13 & D. 10/10 (1) x 13 are your answers.

3xy divide 18 ,
x=
Y=

Answers

The answer is should be
1
——xy
6

Hello, Can you please take a look at this screenshot I have below, This problem is confusing :/

Answers

Answer:

See answers below.

Step-by-step explanation:

m ∠A + m ∠B + m ∠C = 180°          The sum of the angles in a triangle = 180

28°  +   x - 4   + 2x  = 180°              Substitution

x =  52°                                            Algebra

28°  +  x - 4  + 2x  = 180°

    24° + 3x = 180°

     3x = 156°

      x = 156/3

       x = 52°

Check:   28° + 48 + 104°  = 180√

Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?

Answers

Answer:

-8/7

Step-by-step explanation:

First, find the slope of line c.

(x1, y1) = (9, 10)

(x2, y2) = (1, 3)

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Solve for the slope using the given values:

[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]

The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.

In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m of line c using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )

m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d

Can the distributive property be used to rewrite
4x (6 - 3)?

Answers

Answer:

12x

Step-by-step explanation:

cuz i said so

Mariah made a down payment on a van. Which of the following is true because of the down payment?
A. She has additional time to repay the loan.
B. Her credit limit will increase
C. She has some equity or ownership right away.
D. Her insurance will decrease.

Answers

The answer should be C. :)

Answer:

Option C. She has some equity or ownership right away.

Step-by-step explanation:

I did the Exam too. And got it right. Hope this helped.

write an expression describing all the angles that are coterminal with 266°

Answers

Answer:

-814°, -454°, -94°, 266°, 626°. Did you mean like that?

g(x) = 3x + 1; Find g(7)

Answers

g(7)=3(7)+1
g(7)=21+1
g(7)=22

in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication

Answers

Answer:

If you use the PEMDAS method, you can see that exponents should be done first.

Step-by-step explanation:

Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8

Answers

Answer:

?

Step-by-step explanation:

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