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matrenka [14]
2 years ago
15

Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G

to point G′ and from point H to point H′, which statement would best describe the line segments drawn?

Mathematics
1 answer:
Debora [2.8K]2 years ago
6 0

Step-by-step explanation:

the second answer.

they are parallel and congruent (same length).

simply because both points were translated by adding the same number of units to x. so, they have the same length, and point in the same direction.

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Customers arrive at a bank at a rate of 12/hour. It takes the clerk on average 4 minutes to help each customer. a. What is the a
-Dominant- [34]

Answer:

Step-by-step explanation:12 customers per hour..

4minutes per customer..

Time customers must wait= 12customers ×4minutes =48 minutes.. The clerk use 48minutes to attend to 12customers in one hour leaving him with 12spare minutes.

(B)since the clerk has 12 minute to spare it means each customer have a minute to wait before getting attention..

(C)number of customers waiting =12/2=6customers...

4 0
3 years ago
NEED ANSWER ASAP
kkurt [141]

Answer:

f(2) = 81

g(2) = 83

Science class had a higher average

Step-by-step explanation:

Given

f(x) = 0.5x + 80

g(x) table

Solving (a): f(2)

We have:

f(x) = 0.5x + 80

So:

f(2) = 0.5*2 + 80

f(2) = 1 + 80

f(2) = 81

Solving (b): g(2)

From the given table.

g(2) = 83

Solving (c): f(4) or g(4); which is greater

f(x) = 0.5x + 80

So:

f(4) = 0.5*4+80

f(4) = 2+80

f(4) = 82

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

g(x) = g(x-1)+2

So

g(4) = g(4-1)+2:

g(4) = g(3)+2

g(4) = 85+2

g(4) = 87

<em>Hence, g(4) i.e. Science class is greater</em>

6 0
3 years ago
Suppose that there are five young women and six young men on an island. Each woman is willing to marry some of the men on the is
pochemuha

Answer:

Based on the current information, the last man remaining unmarried will be a choice between two

Jason marries Anna

Matt marries Elizabeth

Kevin marries Barbara

Larry marries Diane

Carol can marry either Nick or Oscar

Step-by-step explanation:

The basic method to sort which woman will be marrying which man is simple.

We have to extract the choice by comparing choices of each woman side by side and then selecting the least common one and hence sorting one by one.

First, let's name all the women and men

1. Anna

2. Barbara

3. Carol

4. Diane

5. Elizabeth

We will refer to them with the initial letter of their name . A for Anna, B for Barbara, C for Carol, D for Diane, E for Elizabeth.

The men :

1. Jason

2. Larry

3. Matt

4. Kevin

5. Oscar

6. Nick

And they will be referred as J for Jason, L for Larry, M for Matt, K for Kevin, O for Oscar  and N for Nick.

Options for A : J , L ,M

Options for B : K, L

Options for C : J, N , O

Options for D : J, L , N , O

Options for E : J, M

As we can see , no one else wants Kevin other than Barbara so :

Kevin marries Barbara

Moving onwards:

Elizabeth can marry either Jason or Matt,

Meanwhile Anna can marry either Jason , Larry or Matt  

Hence,

Matt marries Eilzabeth

as Anna has two more choices still which are Jason and Larry.

Further, seeing the options for Carol and Diane

Carol can marry either Jason, Nick or Oscar while Diane can marry Larry as well as Jason , Nick and Oscar

We can select Jason as the match for Anna as Larry is also a choice for Diane.

Hence, Jason marries Anna

Now we are left with Larry , Nick and Oscar.

Since Carol can only decide from Nick and Oscar but Diane can decide from Larry, Nick and Oscar. Larry is the ideal option for Diane

so, Larry marries Diane

Now in the end, Carol can either choose between Nick or Oscar.

If she chooses Nick to marry, Oscar is left single

If she chooses Oscar to marry, Nick is left single.

7 0
3 years ago
Read 45 pages of her book in 2 hours .at that rate how many would she read in 12 hours?
8_murik_8 [283]
2 hours = 45 pages

1 hour = 45 ÷ 2 = 22.5 pages

12 hours = 22.5 x 12 = 270 pages

Answer; 270 pages
5 0
4 years ago
Pwease help fast this is mah last question!
inessss [21]

Answer:

A  = 222 units^2

Step-by-step explanation:

To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB  (Call this point E).  Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units.  Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:

(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.

The area of this trapezoid is

A = (average vertical length)(width), which here is:

       (21 + 16) units

A  = --------------------- * (12 units),   which simplifies to:

                  2

A = (37/2 units)(12 units)  =  A  = 37*6 units  =  A  = 222 units^2

8 0
3 years ago
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