Which of these triangle pairs can be mapped to each other using two reflections? Triangles X Y Z and P Y T are connected at point Y. Triangle X Y Z is reflected across X Y and then is reflected another time across Y Z to form triangle P Y T. Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected 3 times to form triangle A Y T. Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected across side X Y and then is shifted down to form triangle A Y T. Triangles X Y Z and A Z T are connected at point Z. Triangle X Y Z is reflected and then rotated to form triangle A Z T.

Answers

Answer 1

Answer:

The correct option is (A). $\Delta XYZ$ and $\Delta PYT$ are connected at point Y. $\Delta XYZ$ is reflected across XY and then is reflected another time across YZ to form $\Delta PYT$ .

Given, $\Delta XYZ$ and $\Delta PYT$ are connected at point Y.

$\Delta XYZ$ is reflected about XY will shift the marked angle from left to right while the right side angle will remain at the same location and the triangle will remain upright to give $\Delta X'Y'Z'.$

Reflection about the YZ will give the marked angle and the right angle in the same location and the vertex X will then be changed to P.

Thus , $\Delta XYZ$ can be mapped to $\Delta PYT$ with two reflections.

In the second option, we have $\Delta XYZ$ is reflected 3 times which is more than 2 times as said in question. so this statement is false.

In next option $\Delta XYZ$ is reflected across side XY and then is shifted downwards to form $\Delta AYT$ .since here we have only one reflection, so this statement is also false.

4) In option 4 $\Delta XYZ$ is reflected and then rotated thus option 4 is also not a correct option.

Hence the correct statement is $\Delta XYZ$ and $\Delta PYT$ are connected at point Y. $\Delta XYZ$ is reflected across XY and then is reflected another time across YZ to form $\Delta PYT$ .

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Answer 2

Answer:

Answer:

The correct option is the first option;

Triangle XYZ and PYT are connected at point Y. Triangle XYZ is reflected across XY and then is reflected another time across YZ to form triangle PYT

Step-by-step explanation:

To answer the question we look at each option as follows;

1) The parameters given are triangle XYZ and PYT are connected at point Y

Triangle XY is reflected about XY will shift the marked angle from left to right while the right angle will remain at the same location and the triangle will remain upright to give triangle X'Y'Z'

Reflection about the YZ will give; the marked angle and the right angle in the same location and the vertex X will then be changed to P

Therefore, triangle XYZ can be mapped to triangle PYT with two reflections

2) In the second option, we have triangle XYZ is reflected 3 times which is more than 2 times as in the question, therefore, option two is less suited as an answer to the question

3) Triangle XYZ is reflected across side XY and then is shifted down to form triangle AYT

Therefore, since we have only one reflection, option 3 is also not appropriate as an answer

4) In option 4 triangle XYZ is reflected and then rotated therefore option 4 is also not a correct option.

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If slope of AB = slope of BC, then points A,B,C are: A - collinear B - non collinear C - vertices of an right angled triangle D - none of these

Answers

D- none of these
i’m not sure if this is correct

Which expression is equal to 2√54 −4√24? ? A. √6 B. −√ 6 C. −√116 D. -26√

Answers

Answer:

D : - 2 $√(6)$

Step-by-step explanation:

using the rule of radicals

• $√(ab)$ = $√(a)$ × $√(b)$

given

2 $√(54)$ - 4 $√(24)$

simplifying the radicals

$√(54)$

= $√(9(6))$

= $√(9)$ × $√(6)$

= 3 $√(6)$

$√(24)$

= $√(4(6))$

= $√(4)$ × $√(6)$

= 2 $√(6)$

Then

2 $√(54)$ - 4 $√(24)$

= 2(3 $√(6)$ ) - 4(2 $√(6)$ )

= 6 $√(6)$ - 8 $√(6)$

= - 2 $√(6)$

(01.01 MC)Why is 3 + (−5) equal to −2? Because it is 5 units to the left of 0 on a horizontal number line Because it is 5 units to the right of 3 on a horizontal number line Because it is 5 units to the left of 3 on a horizontal number line Because it is 5 units to the right of 0 on a horizontal number line

Answers

Answer:

C. Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

Directed numbers are numbers which has direction i.e either a negative or positive sign before it. This implies that all numbers are directed, since a number without a sign is taken to be positive.

Thus from the given expression,

3 + (-5) = 3 - 5

= -2

So that,

3 + (-5) = -2

Expressing this on the number line, -2 is 5 units to the left of 3. Thus option C is appropriate.

MDM4U11. Avery and Bradley work at a large electronics manufacturer that produces DVD players. The
defective rate on the assembly line has gone up to 12% and the manager wants to know the
probability that a skid of 50 DVD players will contain at least 3 defective units.
a) Help Avery use the binomial distribution P(x)=, C.pqrs to answer this question

Answers

Answer:

0.9487

Step-by-step explanation:

a) The probability of having a defective product = p = 12% = 0.12

The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88

The number of DVD players = n = 50

X is the number of defective products.

The probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using binomial:

P(X = 0) = $C(n,x)p^xq^(n-x)=C(50,0)p^0q^(50-0)=(50!)/((50-0)!0!)*0.12^0*0.88^(50-0)=0.0017$

P(X = 1) = $C(n,x)p^xq^(n-x)=C(50,1)p^1q^(50-1)=(50!)/((50-1)!1!)*0.12^1*0.88^(50-1)=0.0114$

P(X = 2) = $C(n,x)p^xq^(n-x)=C(50,2)p^2q^(50-2)=(50!)/((50-2)!2!)*0.12^2*0.88^(50-2)=0.0382$

P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513

P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%

Given the function f (x) = 8x2 - 14x – 10, find f -2).

Answers

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

$f( x) = 8 {x}^(2) - 14x - 10$

$f( - 2) = 8({ - 2})^(2) - 14( - 2) - 10 \n$

$f( - 2) = 8 * 4 + 28 - 10$

$f( - 2) = 32 + 28 - 10$

$f( - 2) = 60 - 10$

$f( - 2) = 50$

_________________________________

And we're done...

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Find the area of a regular pentagon with radius 9mm

Answers

The required area of pentagon is 212.36 mm².

What is area of a shape?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given that,

radius of pentagon = 9 mm

Since in pentagons there are 5 sides.

Therefore,

Area is = (5/4)x s² x tan(π/5)

Where s is the pentagon's length along one side.

Use the pentagon's radius to get s using the following calculation

since we already know,

S = 2x radius x sin(π/5)

When we enter the values ,

we obtain: s = 2 x 9 x sin(π/5)

= 14.56 mm.

We can now enter this value of s into the area formula as follows:

Area = (5/4) x s² x tan(π/5)

= 212.36mm².

Consequently, the regular pentagon's area with a 9 mm radius is roughly 212.36 mm²

To learn more about area visit:

brainly.com/question/23948404

#SPJ2

The area is calculated by using the formula A=(r^2)*n*sin(360/n)/2 where n is the number of sides which is 5 for pentagon and r is the radius which is 9 mm. So, using the formula, the answer is 51.4 mm^2.

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