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LiRa [457]
3 years ago
6

Triangle END is reflected across the line y = x using the rule (x, y) → (y, x) to create triangle E′N′D′. If a line segment is d

rawn from point E to point E′, which statement would best describe the line segment drawn in relation to the line y = x?
A-Both are congruent to each other.
B- Both create diameters of concentric circles.
C- They are parallel.
D- They are perpendicular.
Mathematics
2 answers:
timama [110]3 years ago
8 0

Answer:

They are perpendicular.

Step-by-step explanation:

Step-by-step explanation:

For example, if we have the point E (1, 2) and E' (2, 1)

we can get the slope as follows

m' = (yE' - yE) / (xE' - xE)

⇒ m' = (1 - 2)/(2 - 1) = -1 / 1 = -1

Now we have the slope of the line y = x, which is m = 1

we can apply

m*m' = (1)*(-1) = - 1

we can say that they are perpendicular.

harina [27]3 years ago
5 0

the correct answer is that they are perpendicular.

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2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?
Lina20 [59]

Answer:

D. 1/15

Step-by-step explanation:

Actual tree = 10 ft = 12 × 10 = 120 in.

Model tree = 8 in.

Scale factor = model tree/actual tree

Scale factor = 8/120

Scale factor = 1/15

4 0
2 years ago
Find x so that (x,-14) is a solution to 2x+3y=12
Monica [59]

Answer:

27

Question:

Find x so that (x,-14) is a solution to 2x+3y=12 .

Step-by-step explanation:

So we are asked to replace y with -14 and solve for x in the equation:

2x+3y=12.

2x+3y=12 with y=-14:

2x+3(-14)=12

2x-42=12

Add 42 on both sides:

2x=54

Divide both sides by 2:

x=27.

So the x-coordinate that corresponding to y=-14 is 27.

Verify that:

(27,-14) is a point satisfying 2x+3y=12.

Replace x with 27 and y with -14:

2(27)+3(-14)=12

54+-42=12

12=12 is true so our work must be right.

3 0
3 years ago
the perimeter of a triangle is 12cm. which one of the following is not possible sides of a trianglr? a)1 b)5 c)6 d)none of thish
Phantasy [73]

Perimeter of triangle = 3(side)

P = 3(s)

12 = 3s

12/3 = s

4 = s

I think there is a typo in your post.

The question should be: WHICH ONE OF THE FOLLOWING IS A POSSIBLE SIDE OF THE TRIANGLE?

In that case, 4 cm is the answer. However, 4 cm is not listed among the choices. So, choice d is the answer.

7 0
3 years ago
I need help with another problem<br> find the circumference of the circle
erma4kov [3.2K]

Answer:

i'm 100% sure its A

Step-by-step explanation:

7 0
3 years ago
I NEED HELP ASAP!!
S_A_V [24]
(1,-1)
(-4,2)
(-2,1)
I believe these will work
4 0
3 years ago
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