1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oee [108]
3 years ago
10

Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t

he lines
A) jk and lm will be parallel

B) jk and lm will be perpendicular

C) jk will be same slope as ef

D) lm will be negative reciprocal of gh

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on y=x line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

(x,y)\rightarrow (y,x)

Points on line EF

(0,6) , (-5,-2)

On reflection of this line on y=x the new points we get for line JK are

(6,0),(-2,-5)

Points on line GH

(-4,9),(-9,1)

On reflection on y=x line the new points we get for line LM are

(9,-4),(1,-9)

Slope of line JK

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}

Slope of line LM

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}

For two line to be parallel, their slopes will be same.

m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

You might be interested in
Brooklinn and Demetrius took a total of 115 photos at the science museum. Demetrius took 4 times more photos than Broolinn. How
qaws [65]

Answer:

460

Step-by-step explanation:

115 times 4 is 460, 115+115+115+115= 460.

7 0
3 years ago
Read 2 more answers
PLEASE HURRY<br><br> The origin is on the x-axis but not on the yaxis.<br> O A. True<br> O B. False
KiRa [710]

Answer:

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

7 0
3 years ago
Read 2 more answers
70 decreased by 13% =
Pie
If you have a calculator: 
<span>1) To find 1%, divide by 100 (70 / 100 = 0.7) </span>

<span>2) Then, multiply by the % you need (0.7 x 13 = 9.1) </span>

<span>Therefore 70 - 9.1 = 60.9 </span>

<span>If you don't have a calculator: </span>
<span>1) Find 50%, 10%, 5%, and 1%. With these, you can make any % you need. </span>
<span>50% = X / 2 (= 35) </span>
<span>10% = X / 10 (= 7) </span>
<span>5% = first, do 10%, then divide that by 2 (= 3.5) </span>
<span>1% = X / 100 (= 0.7) </span>
<span>Where X is the number you want to work out % for </span>

<span>2) Add those % up to get the amount you want </span>
<span>10% + 1% + 1% +1% = 13% </span>
<span>7 + 0.7 + 0.7 + 0.7 = 9.1 </span>

<span>Therefore 70 - 9.1 = 60.9
Hope that helps :)</span>
7 0
3 years ago
How do you solve this???????<br> 3x+6=-5-2x-6
Elina [12.6K]

Answer:

Step-by-step explanation:

3x+6=-5-2x-6

+2x.        +2x

5x+6= -5-6

5x+6= -11

    -6.  -6

5x= -17

divide by 5

x= -3.4      

4 0
3 years ago
The sum of two numbers is 37 and the difference is 9. What are the numbers
solmaris [256]

Answer:

23 and 14

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • What is 3.2 m converted to centimeters?
    9·1 answer
  • Sketch the graph of the function f(x) = x + |x|.
    5·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
    8·1 answer
  • What is equal to sin21
    6·1 answer
  • How to do unit ratios
    6·1 answer
  • It costs $5.50 per hour to rent a pair of ice skates,
    9·1 answer
  • 5 2/3 - 2 3/4 In Fractions
    5·2 answers
  • What is the equation of the line that passes through (4, -1) and (-2, 3)?
    5·1 answer
  • Choose the category of transformation related to the following statement:
    14·1 answer
  • Please help I am very behind on my math
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!