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3 years ago

I'M OFFERING 20 POINTS-

Mathematics

2 answers:

DochEvi [55]3 years ago

8 0

she is correct even check myself so it is scale factor 3; enlargement

Dafna11 [192]3 years ago

3 0

Answer:

Third option is correct. Scale factor 3 ; enlargement.

Step-by-step explanation:

It is given that the figure A'B'C'D' is a dilation of figure ABCD.

We know that after dilation the corresponding sides of image and preimage are in the same proportion.

The image of AD is A'D'.

From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).

Distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AD=\sqrt{(-1+1)^2+(-1-2)^2}=\sqrt{9}=3$

$A'D'=\sqrt{(-3+3)^2+(-3-6)^2}=\sqrt{81}=9$

Scale factor is constant which represents the relation between image and preimage.

$k=\frac{A'D'}{AD}$

$k=\frac{9}{3}$

$k=3$

Therefore the scale factor is 3.

If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.

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Help please if anyone knows

larisa86 [58]

Part A
To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, $\frac{3}{5}$ and $\frac{2}{3}$ equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

Part B
To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

$1 \frac{3}{5} \\ \\ (5*1)+3 =8 \\ \\ \frac{8}{5} \\ \\ \\ \\ 1 \frac{2}{3} \\ \\ (3*1)+2=5 \\ \\ \frac{5}{3} 
$

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

$\frac{8}{5} *3 = \frac{24}{15} \\ \\ \frac{5}{3} *5 = \frac{25}{15}$

Now, we can simply add our numerators.

$25+24=49$

We know that he needs $\frac{49}{15}$ gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

$\frac{49}{15} \\ \\ 49 / 15 = 3(Remainder: 4) \\ \\ 3\frac{4}{15}$

Using that logic, we can see that the painter needs exactly $3 \frac{4}{15}$ gallons of paint.

4 0

3 years ago

Give a # that makes 10 - x < 5 true.

Nimfa-mama [501]

It could be any number that is 4 and under

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A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is th

e-lub [12.9K]

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3 years ago

The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order. The profit for the

jeka94

Answer:

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

Step-by-step explanation:

The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.

That is:

3 : 2 : 5

The profit for the year was $176,500.

To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.

The total ratio is:

3 + 2 + 5 = 10

The first partner will receive 3/10 of the profits:

$\frac{3}{10} * 176500$ = $52950