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timama [110]
3 years ago
12

Based on the diagram can point D be the centroid of triangle ACF? Explain

Mathematics
2 answers:
Nataly [62]3 years ago
7 0

Answer:

No

Step-by-step explanation:

the ratio between AD and DE is 3:1.

The geometric centroid (center of mass) of the polygon vertices of a triangle is the point D which is also the intersection of three triangle's medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

expeople1 [14]3 years ago
4 0

Answer:

3:1 Ur welcome

Step-by-step explanation:

Yes, point D is the point of intersection of segments drawn from all three vertices.

Yes, DE is three-quarters of the length of the full segment.

No, DE should be longer than AD.

No, the ratio between AD and DE is 3:1

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UkoKoshka [18]

Answer:

-8n + 9

Step-by-step explanation:

Given that,

A = -3n + 2

B = 5n - 7

Before solving you have to know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Let us solve now.

A - B

-3n + 2 -(5n - 7)

-3n + 2 - 5n + 7

Combine like terms

-3n - 5n + 2 + 7

-8n + 9

Hope this helps you.

Let me know if you have any other questions :-)

5 0
2 years ago
In order for the parallelogram to be a rhombus, x=?
stealth61 [152]

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2 years ago
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Tennis You throw a tennis ball into the
Natali [406]

Answer:

add all of them and divide by 2

Step-by-step explanation:

8 0
3 years ago
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NEED HELP FOR THIS QUESTION
const2013 [10]

Answer:

(a) A = 0.00278787878787878x

(b) B = 0.00235294117647058x + 3

(c) The answers are as follows:

<u>For buying by credit card</u>

For 700 BWP: Cost = A = £1.95

For 800 BWP: Cost = A = £2.23

For 800 BWP: Cost = A = £2.79

<u>For buying from a Bureau de Change</u>

The equation (4) is used as follows:

For 700 BWP: Cost = B = £4.65

For 800 BWP: Cost = B = $4.88

For 1000 BWP: Cost = B = £5.35

(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Step-by-step explanation:

(a) by credit card

For the exchange rate, we have:

8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121

The expression can therefore be written as follows:

A = £0.121212121212121 * r * x ................. (1)

Where;

A = cost (including commission) of buying a particular number of Botswana pulas by credit card

r = commission on a credit card transaction = 2.3%, or 0.023

x = the number of pulas bought

Substituting for r into equation (1), we have:

A = £0.121212121212121 * 0.023 * x

A = 0.00278787878787878x ................. (2)

Equation (2) is the expression.

(b) from a Bureau de Change

For the exchange rate, we have

8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529

B = (£0.117647058823529 * r * x) + F ................. (3)

Where;

B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.

r = commission charged by Bureau de Change. = 2%, or 0.02

x = the number of pulas bought

F = fee = £3

Substituting for r and F into equation (3), we have:

B = (£0.117647058823529 * 0.02 * x) + £3

B = 0.00235294117647058x + 3 ................. (4)

Equation (4) is the expression.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

<u>For buying by credit card</u>

The equation (2) is used as follows:

For 700 BWP: A = £0.00278787878787878 * 700 = £1.95

For 800 BWP: A = £0.00278787878787878 * 800 = £2.23

For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79

<u>For buying from a Bureau de Change</u>

The equation (4) is used as follows:

For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65

For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88

For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

This can be calculated by equating equations (2) and (4) and then solve for x as follows:

0.00278787878787878x = 0.00235294117647058x + 3

0.00278787878787878x - 0.00235294117647058x = 3

x(0.00278787878787878 - 0.00235294117647058) = 3

x0.0004349376114082 = 3

x = 3 / 0.0004349376114082

x = 6,897.54 pulas

Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

5 0
3 years ago
7.50 on 250.00 is what percentage
natita [175]

Answer:

the answer is 3 zz

Step-by-step explanation:

5 0
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