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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

You might be interested in
Given A(2, 3) B(1, 4) C(1, 3) D(-2, 2). How are AB and CD related?
kondaur [170]

The vector AB is not related with the vector CD as k is not the same for each pair of components.

<h3>Are two vectors similar?</h3>

In this question we must prove if the vector AB is a multiple of the vector CD, that is:

\overrightarrow{AB} = k \cdot \overrightarrow {CD}

\vec B - \vec A = k \cdot [\vec D - \vec C]

(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]

(- 1, 1) = k · (- 3, - 1)

Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.

To learn more on vectors: brainly.com/question/13322477

#SPJ1

3 0
2 years ago
Need Help ASAP<br><br> 1.5x+6=2+3x<br> 2.2(6-2y)=-1(4y-9) <br> 3.2z-6=2(z+2)+10
zavuch27 [327]
1. 5x + 6 = 2 + 3x
-3x. - 3x
-------------------------
2x + 6 = 2
- 6. - 6
-------------------------
2x = -4
---- -----
2. 2

x = -2

2. 2(6 -2y) = -1(4y-9)
12 -4y = -4y + 9
+4y. +4y
----------------------------
.12 /=\ 9
No solution

3. 2z-6 = 2(z+2) + 10
2z -6 = 2z + 4 + 10
2z -6 = 2z +14
-2z. -2z
-6 /=\ 14
No solution.
4 0
3 years ago
Oh lord pls help asap
zepelin [54]

Answer:

1.1(for infinity) or 0.9

Step-by-step explanation:

it depends if you do 90/100 or 100/90

90/100 = 0.9

100/90 = 1.1(for infinity)

so sorry i couldn't figure out specifically what to divide but i hope both of these answers helped you!

4 0
3 years ago
PLEASE ANSWER THIS IS EASY BUT IM DUMB LOTS OF POINTS HELP
larisa86 [58]
All three numbers multiplied to get the volume 
surface area is the formula times base 1 and base 2 times base 3 and answer 
8 0
3 years ago
Read 2 more answers
Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles
777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A:  Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0
3 years ago
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