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gregori [183]
3 years ago
8

Answer the question below please.

Mathematics
1 answer:
defon3 years ago
7 0
I think  A is the answer
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Please help me with this question
Liono4ka [1.6K]

9514 1404 393

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

<u>Given</u>:

  LP = x

  MP = 2y+3

  NP = y+3

  KP = 3x -8

  KP = MP, LP = NP

<u>Find</u>:

  x, y

<u>Solution</u>:

The given relations between the segment lengths let us write two equations:

  KP = MP

  3x -8 = 2y +3   ⇒   3x -2y -11 = 0   [eq1]

  LP = NP

  x = y +3   ⇒   x -y -3 = 0   [eq2]

__

Subtracting 3 times [eq2] from [eq1] gives ...

  (3x -2y -11) -3(x -y -3) = 0

  y -2 = 0 . . . . . . . . simplify

  y = 2 . . . . . . . . . . add 2

Substituting this value into [eq2] gives ...

  x = 2 + 3 = 5

The values of x and y are ...

  x = 5, y = 2

5 0
3 years ago
Determine the slope and y-intercept of the line represented by the equation:<br> 3x – 4y - 16 = 0
Diano4ka-milaya [45]
Here you are)see the attachment

8 0
2 years ago
Read 2 more answers
The midpoint of JK¯¯¯¯¯¯¯¯is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.
maxonik [38]
The image is downloaded.

4 0
2 years ago
If a pen and a pencil cost 1.10$ but the pen cost is 1$ more than pencil​
Stella [2.4K]

Answer:

The pencil cost $0.05 and the pen cost $1.05.

Step-by-step explanation:

Let, the price of the pencil is $ .

Given that the pen costs a dollar more than the pencil,

So, the price of the pen=$+1.

Therefore, ++1=1.10

, 2+1=1.10

, 2=1.10–1

, 2=0.10

, =0.10/2

, =0.05

The pencil cost $0.05 and the pen cost $1.05.

4 0
2 years ago
What is the area of a sector in a circle of radius 8cm,if the angle between the radii is 30°
IceJOKER [234]

Answer:

16.75 square cm

Step-by-step explanation:

Area  \: of  \: sector  =  \frac{ \theta}{360 \degree}  \times \pi {r}^{2}  \\  \\  =  \frac{30 \degree}{360 \degree}  \times 3.14 \times  {8}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times 64 \\  \\  =  \frac{1}{3}  \times 3.14 \times 16 \\  \\  =  \frac{1}{3}  \times 50.24 \\  \\  = 16.7466667 \\  \\Area  \: of  \: sector  = 16.75 \:  {cm}^{2}

3 0
3 years ago
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