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A quadrilateral is a rhombus if and only if the diagonals are perpendicular bisectors of each other.

This is an "if and only if" proof, so there are two things we have to prove:

One way to prove this is to use congruent triangles.

However, note that this essentially runs through the proof of one of the isosceles triangle theorems which we have already proved. Note the SSS reason after we established the reflexive side. We do not have to do it again. We can simply refer to it.

For the converse, 

there is the congruent tirangle proof.

But, again we are running through a proof of one of the isosceles triangle theorems. We could simply refer to it instead of proving it again.

One could also use the fact that a point is equidistant from two given points if and only if it is on the perpendicular bisector of the line segment between them.

that sucks

Its pooring where i live.

Ha. I like snow but mine is melting.

A quadrilateral is a rhombus if and only if the diagonals are perpendicular bisectors of each other.

This is an "if and only if" proof, so there are two things we have to prove:

One way to prove this is to use congruent triangles.

However, note that this essentially runs through the proof of one of the isosceles triangle theorems which we have already proved. Note the SSS reason after we established the reflexive side. We do not have to do it again. We can simply refer to it.

For the converse, 

there is the congruent tirangle proof.

But, again we are running through a proof of one of the isosceles triangle theorems. We could simply refer to it instead of proving it again.

One could also use the fact that a point is equidistant from two given points if and only if it is on the perpendicular bisector of the line segment between them.

1. P(x>= 2) = 1-(.03+.09) = .88
4.  z = (12.2-14)/1.2

5.  x = 1.5(2.4) + 54 
6. invNOrm(.60) = .2533, x = .2533(50) + 400 = 413
7. z = (25-24)/1.3 = .77 P(z<= .77) = .779
.779(1200) = 935

The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean. 

1.5 x 2.4 = 3.6 
54 + 3.6 = 57.6 

Answer: 
57.6 in 

The formula is:  
x = zσ + μ 

z : z-score (1.5) 
σ : standard deviation (2.4)  
μ : mean (54)  

Answer:  
x = 57.6

Nope

Hey hey guest, no need to be aggressive. As you can see I'm a noob here. But, you were most likely excessively inept, making it impossible to comprehend that. :) 

This is a cyclic quadrilateral.....the opposite angles are supplementary  (add to 180 degrees)

So

(x + 15)  + ( 4x +  5  ) =   180     simplify

5x  +  20   =  180     subtract 20 from both sides

5x  =  160       divide both sides by 5

x  = 32

So

A  =  4(32) + 5   =   133°

We have this

A =  Beginning Amount  (  1  -  rate of decay)^t

Where  the  beginning amount is   0.65 kilograms

And the rate of decay  = 8%  =  .08.....so we have

A  =  0.65 ( 1  - .08)^t

A  = 0.65 ( .92)^t

So.....the rate of decay  is  8%   ⇒  A

B and D ist correct.

1.  Construct the angle bisector of angle R.

Here's  a procedure describing this  :

 http://www.mathsisfun.com/geometry/construct-triangleinscribe.html

2. Construct the angle bisector of ∠J.

Here's a procedure for this, too :

https://www.mathsisfun.com/geometry/construct-trianglecircum.html

3.  Inscribed Angle Theorem

     The sum of arcs that make a circle  = 360 degrees 

     Division Property of Equality

     Definition of Supplementary Angles

4.   theta / 360

      theta / [ 2pi ]

Good luck...I had a lousy Geometry teacher in high school, too....most of the Geometry I know  I learned on my own....

Number C is correct.

Just the opposite of what you might think  for the left/right translation

4 left  and 3 up =

y  =  (x + 4)^2  +  3  ⇒  B

7 right  and 2 up

y  = √[ x - 7]  + 2  ⇒  D

1 yard  =  3ft

So   .....the radius is  1/2 of the diameter  = 3/2 ft

So.....the circumference is

2 * 3.14 * (r)  =

6.28  (3/2)   ft  =      471/50  ft  ≈   (9.42 ft)   as Donut found  !!!

I dont rember how to turn this number into a fraction so good luck!

Assuming you are using 3.14 for pi (since you did not specify) the circumference is 9.42

The measure  of an inscribed angle is  1/2  that of its intercepted arc....so....

m angle ABC  = (1/2)arc AC      (first answer )

V₁=350km³

k=2

k³=2³=8

V₂=350km³*8

V₂=2800km³

All x values from 0 to infinity are covered by the graph

[The arrow indicates that the graph continues infinitely along x]

So......

x ≥  0

How many units of length does a???

USE ALL DA MEMES!!!!!