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agasfer [191]
3 years ago
10

50 POINTS ANSWER ASAP what is number 8

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0
The key to this problem is recognizing that the line DF must bisect the angle BDC. This is because CD must coincide with diagonal BD when folded along line DF.

The angle BDC is clearly 45 degrees since the diagonal bisects the right angle.
Therefore angle x = 45/2 (Attached diagram).

You can then find CF (labeled y) using tangent function.
tan (\frac{45}{2}) = \frac{y}{1}
From half -angle formula
y = tan (\frac{45}{2}) = \frac{-1 \pm \sqrt{1+tan^2 (45)}}{tan (45)} = -1 \pm \sqrt{2}

Eliminating the negative case since y>0.
y = -1 + \sqrt{2}
Therefore
k = 2
m = 1

Final Answer:
k+m = 3

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Find the value of {[12 ÷ 4] + [16 ÷ 8 (7 – 5)]} – 1.​
zmey [24]

{[12 ÷ 4] + [16 ÷ 8 (7 – 5)]} – 1.

{[3] + [2(2)]} – 1.

{[3] + [4]} – 1.

7-1

6

4 0
3 years ago
Honestly i have no clue how to do this and it’s worth 100 points so......here you go please help me
Pie

Answer:

Idk

Step-by-step explanation:

just here for the points

5 0
3 years ago
Read 2 more answers
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after anothe
DedPeter [7]

The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

<h3>#SPJ1</h3>


7 0
2 years ago
Help me I did not get this part so can you<br> All help me
klemol [59]
D. 10 because if you replace x with 10, subtract it with 1 it equals 9. Then 9 divided by 3 equals three so k=3 which is correct
7 0
3 years ago
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