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Eduardwww [97]
2 years ago
6

which description from the list below accurately describe the relationship between QRS and TUV? check all that apply

Mathematics
1 answer:
OleMash [197]2 years ago
7 0

Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, translation, rotation and dilation.</em>

Rigid transformation preserves the shape and size of the figure. <em>Reflection, translation, rotation</em> are rigid transformations.

Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose
VLD [36.1K]

Answer:

(a) P(A1 ∪ A2) = 0.35

Step-by-step explanation:

(a) A1 ∪ A2 :

We start by defining the events.

A1 : '' awarded project 1''

A2 : ''awarded project 2''

A3: ''awarded project 3''

In set theory we write the union of events A and B as A∪B.

A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.

The probability is given by the equation :

P(A∪B) = P(A) + P(B) - P(A∩B) (1)

Where the event (A∩B) is the event where A and B occur at the same time

and P(A∩B) is the probability of (A∩B)

Using the equation (1) :

P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)

P(A1 ∪ A2) = 0.22 + 0.25 - 0.12

P(A1 ∪ A2) = 0.35

7 0
4 years ago
4. Find the value of k, if x = 2, y=1 is a solution of the equation 2x + 3y=k.​
icang [17]

Answer:

k=7

Step-by-step explanation:

first, plug in the given values

2x+3y=k --> 2(2)+3(1)=k

-->4+3=k

-->7=k

k=7

3 0
3 years ago
Recycle
Arada [10]

Answer:

(a) Output = 37

(b) Input = 9

Step-by-step explanation:

Given

y =x5 - 3

Solving (a): Output, when input = 8

This means that, we solve for y when x = 8

So, we have:

y =x5 - 3

y =8*5 - 3

y =40 - 3

y = 37

Solving (b): Input, when output = 42

This means that, we solve for x when y = 42

So, we have:

y =x5 - 3

42 = x5 - 3

Collect like terms

x5 = 42 + 3

x5 = 45

Divide both sides by 5

x = 9

3 0
3 years ago
Rearrange the equation algebraically to solve for the unknown quantity.
timofeeve [1]

Given:

Consider the given equation is

P=2L+2W

To find:

The solution of the equation for l.

Solution:

We have,

P=2L+2W

Substract 2W from both sides.

P-2W=2L+2W-2W

P-2W=2L

Divide both sides by 2.

\dfrac{P-2W}{2}=\dfrac{2L}{2}

\dfrac{P-2W}{2}=L

L=\dfrac{P-2W}{2}

Therefore, the correct option is 3.

4 0
4 years ago
What is the vertex form of the quadratic equation represented on the table?
sergeinik [125]

Check the picture below, so the parabola looks more or less like so, hmmm with a vertex at (-1 , -4), so, using those values from the table

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{vertex}{\stackrel{h}{-1}~~,~~\stackrel{k}{-4}}\qquad \implies y=a[x-(-1)]^2-4\implies y=a(x+1)^2-4 \\\\\\ \textit{we also know that} \begin{cases} x=2\\ y=14 \end{cases}\implies 14=a(2+1)^2-4\implies 18=9a \\\\\\ \cfrac{18}{9}=a\implies 2=a~\hspace{10em}\boxed{y=2(x+1)^2-4}

7 0
2 years ago
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