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Dafna1 [17]
2 years ago
15

Melissa writes the following proof for the theorem: if the diagonals of a quadrilateral bisect each other, the quadrilateral is

a parallelogram
Mathematics
1 answer:
mel-nik [20]2 years ago
3 0

16 i believe because you divide

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A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
2 years ago
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the sam
goldenfox [79]

Answer:

1,267,200

Step-by-step explanation:

Given that the map reported that the scale is 1 inch to 20 miles.

Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200

Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200

4 0
2 years ago
Mr. Scott uses an 8 GB flash drive to store his files for his classroom. His principal buys him a new 64 GB flash drive. What is
katovenus [111]

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

4 0
2 years ago
Read 2 more answers
Match each region with the type of association found between its butterfly population and change in temperature. positive linear
Neko [114]
The first thing you should do is plot each region with respect to the temperature and then observe the behavior of each region.
   Region A: not observable trend
 Region B: exponential trend
 Region C: negative linear trend
 Region D: positive linear trend
 Graphic attachment

7 0
2 years ago
Read 2 more answers
Point R lies on the directed line segment from L (-8,-10) to M (4,-2) and partitions the segment in the ratio 3 to 5. What are t
Dvinal [7]

Answer:

R = (- 3.5, - 7 )

Step-by-step explanation:

Using the Section formula

x_{R} = \frac{3(4)+5(-8)}{3+5} = \frac{12-40}{8} = \frac{-28}{8} = - 3.5

y_{R} = \frac{3(-2)+5(-10)}{3+5} = \frac{-6-50}{8} = \frac{-56}{8} = - 7

Thus coordinates of R = (- 3.5, - 7 )

7 0
2 years ago
Read 2 more answers
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