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Ainat [17]
3 years ago
11

5rerrreeryeu34u4eu34w

Mathematics
1 answer:
frozen [14]3 years ago
7 0
The answer is segment CE=10
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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
4 years ago
Read 2 more answers
Solve the system. x+y=5 -2x+4y=8<br> A. (1,4)<br> B. (5,1)<br> C. (2,3) <br> D. (5,1)
aksik [14]
The answer is c
2 + 3 = 5

-2 (2) + 4 (3) = 8
-4 + 12 = 8
7 0
3 years ago
A model of a house is shown.
deff fn [24]

<u>Given</u>:

Given that the model of the house.

The house is made up of two composite figures triangle and rectangle.

The two sides of the triangle are 6x - 4 units each.

The length of the rectangle is 14x + 13.

The width of the rectangle is 12x + 3.

We need to determine the perimeter of the house.

<u>Perimeter:</u>

The perimeter of the house can be determined by adding all the sides of the house.

Thus, we have;

Perimeter=2(6x -4 )+2(12x+3)+(14x+13)

Simplifying the terms, we get;

Perimeter=12x -8+24x+6+14x+13

Adding the like terms, we have;

Perimeter=50x+11

Thus, the perimeter of the house is 50x + 11 units.

Hence, Option d is the correct answer.

5 0
3 years ago
What are the width and the area of the rug?
kaheart [24]

Given:

The rug is in the shape of a kite.

d_1=31 in

d_2=9 in

To find:

The width and area of the rug

Solution:

Width of the rug = 9 in

Area of the kite = \frac{1}{2} \times d_1 \times d_2

                          $=\frac{1}{2} \times 31 \times 9

                          = 139.5 in³

The area of the rug is 139.5 in³.

6 0
3 years ago
What is the answer to Simplify 0.5
WINSTONCH [101]
0.5=5/10=5/2•5
5/2•5/5=1/2
0.5=1/2
4 0
4 years ago
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