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4 years ago

Name the Property of Congruence that justifies the statement If XY = WX then WX = XY ?

2 answers:

6 0

I believe below are the choices that can be found else where.

a.symmetric property
b.transitive property 
c.reflexive property 
d.none of these

The answer is c which is reflexive property. The Reflexive Property states that for every real number x , x = x . Symmetric Property. The Symmetric Property states that for all real numbers x and y , if x = y , then y = x . Transitive Property.

antiseptic1488 [7]4 years ago

4 0

The answer is A i just got a 100 on the test

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You make 70% of the basketball shots you take. If you

Temka [501]

Answer:

Step-by-step explanation:

The probability that you make one shot is 70%, or 0.7.

The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249

The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.

MSSSSSSSSS

SMSSSSSSSS

SSMSSSSSSS

and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is

(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821

Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get

0.0282475249 + 0.121060821 = 0.1493083459

7 0

2 years ago

Consider the following function.

MakcuM [25]

Answer:

if f(x) = ax + b then f-1(x) = (x - b)/a

Step-by-step explanation:

Now

f(x)=ax + b

then y = ax + b

interchanging x and y , we get

or, x = ay + b

or, x - b = ay

or, (x - b)/a = y

therefore,f-1(x) = (x - b)/a

3 0

3 years ago

Three players enter a room and a red or blue hat is placed on each person's head. The color of each hat is determined by a coin

Drupady [299]

Answer:

If you take into account all probabilities, and work on a strategy, rather than individual guesses, you can increase the probability.

Here are the possible outcomes:

BBB

BBR

BRB

BRR

RBB

RBR

RRB

RRR

If you use the strategy:

If a person sees a blue and a red, they pass;

If a person sees a blue and a blue, they guess red;

If a person sees a red and a red, they guess blue;

The probability comes out like this:

(B=blue, R=red, P=pass)

actual guess correct?

BBB RRR no

BBR PPR yes

BRB PRP yes

BRR BPP yes

RBB RPP yes

RBR PBP yes

RRB PPB yes

RRR BBB no

As you can see, this is a 6/8, or 75% chance of being correct.

8 0

3 years ago

The width of the rectangle is five feet less than the length. If the perimeter of the rectangle is 34 feet find both dimensions

Lyrx [107]

Answer:

length = 11 ft, width = 6 ft

Step-by-step explanation:

Let w be the width, l be the length and p the perimeter. You can write down the following equations:

1. w = l - 5

2. p = 2*(w + l)

Now you have two equations with two unknown.

Plugging eq.1 in eq.2:

p = 2*(l-5 + l)

p = 2*(2*l - 5)

p = 4*l - 10

Remember p = 34

34 = 4*l - 10

4*l = 44

l = 11

Using eq.1 to solve for w:

w = 11 - 5

w = 6

4 0

3 years ago

a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p

Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

ship includes the length of the permanent stone wall.

Response:

i) The length and width of the rectangular pen are; x, and $\dfrac{100 - x}{2}$ , therefore;

The area is; $A = \dfrac{1}{2} \cdot x \cdot (100 - x)$

$ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x$

$\dfrac{d^2A}{dx^2} = -1$

iii) The value of x that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let x represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, w, of the rectangular pen, $w = \mathbf{\dfrac{100 - x}{2}}$

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

$A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}$

$ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}$ , and $\mathbf{\dfrac{d^2A}{dx^2} }$ are found as follows;

$\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}$

$\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}$

iii) The value of x that makes the area as large as possible is given as follows;

Given that the second derivative, $\dfrac{d^2A}{dx^2} =-1$ , is negative, we have;

At the maximum area, $\dfrac{dA}{dx} = \mathbf{0}$ , which gives;

$\dfrac{dA}{dx} = 50 - x = 0$

x = 50

The value of x that makes the area as large as possible is x = 50

Learn more about the maximum value of a function here:

brainly.com/question/19021959

7 0

2 years ago