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jarptica [38.1K]
3 years ago
11

Which value of y would make O P is parallel to L N? 16 24 32 36

Mathematics
2 answers:
tekilochka [14]3 years ago
7 0

Answer:

D. 36 units

Step-by-step explanation:

credit to user  calculista

lakkis [162]3 years ago
5 0
The answer is D.) 36
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HELLLPP ME PLEASSEEE!!!!!
antoniya [11.8K]

The similar circles P and Q can be made equal by dilation and translation

  • The horizontal distance between the center of circles P and Q is 11.70 units
  • The scale factor of dilation from circle P to Q is 2.5

<h3>The horizontal distance between their centers?</h3>

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

<h3>The scale factor of dilation from circle P to Q</h3>

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

Read more about dilation at:

brainly.com/question/3457976

8 0
2 years ago
Order from least to greatest 0.5 0.41 3/5
FinnZ [79.3K]
Least. 0.41, 0.5, 3/5 Greatest
4 0
3 years ago
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What is the minimum value of the function y=|x+3|-2 ?
lesya692 [45]
Minimum value of the function is - 2

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6 0
3 years ago
Banabas must pay his ex-wife an amount of R350 000 in two years’ time. Calculate the amount that he must invest today to have th
White raven [17]

Answer:

He must invest R297 521 today.

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Banabas must pay his ex-wife an amount of R350 000 in two years’ time.

This means that t = 2, A(t) = 350000

Interest rate of 8.15% per annum compounded monthly:

This means that r = 0.0815, n = 12.

Amount he must invest today:

This is P. So

A(t) = P(1 + \frac{r}{n})^{nt}

350000= P(1 + \frac{0.0815}{12})^{2*12}

P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}

P = 297521

He must invest R297 521 today.

4 0
2 years ago
Some points because you deserve it
Licemer1 [7]

Answer:

ok

Step-by-step explanation:

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