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

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]

Answer:

87

Step-by-step explanation:

difference = 7

A1 = 3

so let's imagine this arithmetic sequence as

3, 10, 17, 24 etc....

mathematically the sequence can be described as

An = a1 + (n - 1) d

A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87

Answer:

14 rides

Step-by-step explanation:

23.50-6= 17.5

17.5/1.25=14

Answer:

step: 4(x-24x)to the power of 2 = 3-7 or -4

Step-by-step explanation:

solution: solve it

would love to have a second opinion, this is what i got.

Answer:

65%

Step-by-step explanation:

13/20 is equivalent to 65% because half of it will be half of the percentage so that's why it is 65%

Answer:

7

Step-by-step explanation:

basically just subtract 10-3=7 then to check 3+7=10

Answer:

x = 7

Step-by-step explanation:

3 + x = 10

-3         -3

x = 7

you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.

Answer:

3x+8=17                                  2x+8=2(x+4)                         x+4=x-4

3x=17-8                                    2x+8=2x+8                          No solution

3x/3=9/3                                  All Real numbers

x= 3                                                

infinitely many solution

Q2) It means this equation  has no answer to it and no solution

Q3)  x+ 4=x-4 has no solution

Q4) It means that it has many answers to it and many steps to it to get the answer

Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by

Answer: 8

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

nugget

Answer:

8x-4<-36+4

8x<-32

----

8

x<-4

Answer:x<-4

Step-by-step explanation:

you would have to show your work and do it step by step and and dont stress about it

5(x-4) + ? = 12x - 21

5x - 20 + ? = 12x - 21

? = 7x -1  

ok done. Thank to me :>

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

[tex]\mathbf{P(A) = 0.48}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]

To calculate the probability of event B, we make use of the following formula

[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]

So, we have:

[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]

Collect like terms

[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]

[tex]\mathbf{P(B)= 0.62}[/tex]

Hence, the probability of event B is 0.62

Read more about probabilities at:

https://brainly.com/question/11234923

6=a/(4+2)

6=a/6

Now multiply both sides by 6 to cancel one of them.

6*6=6*a/6

6*6=a

36=a

Answer:

38.14 but if rounded up it becomes 38.15

Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

Answer:

4(x + y)

Step-by-step explanation:

6x + 4y - 2x

6x - 2x + 4y

4x + 4y

Taking 4 as common

4(x + y)

Answer:

  y = -4/3x +3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -(-1))/(0 -3) = 4/-3 = -4/3

The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.

The slope-intercept form equation is ...

  y = mx +b

  y = -4/3x +3

XxxxAnswer:

Step-by-step explanation:xdd

Answer:

Step-by-step explanation:

Answer:

Option B is the correct answer

Step-by-step explanation:

Complimentary angles mean sum of angles is [tex]90^{0}[/tex]

Let the smaller angle be [tex]x[/tex]

Other angle is [tex]90-x[/tex]

We have

Two complementary angles are in the ratio [tex]3: 2[/tex]

[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]

Smaller angle is [tex]36^0[/tex]

Option B is the correct answer

Answer:

P = 51 units

A = 137 units^2

Step-by-step explanation:

P = 5+5+7+11+7+16 = 51 units

A = 5x5 + 16x7 = 137 units^2

Hope that helps

Answer:

Graph: Refer to attached image

Solution: (-5,-3)

Step-by-step explanation:

First graph to two equations.

Refer to the image attached to see what the equations would look like when graphed.

Wherever they intersect is the solution.

They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations

10.127781530000000000

Answer: 49/30 or, 1 19/30

Answer:

Solid line

Step-by-step explanation:

This means that it is equal. The line under the less than sign means it would be a solid line.

Answer:

1/4 is on the second line

3/8 is the the third one

3/8 is bigger

Hope This Helps!!!

Answer:

Hope this helps you.......

Answer:

15.6

Step-by-step explanation:

10.7+4.9=15.6

Answer:

15.6

Step-by-step explanation: I took the test