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
kompoz [17]
3 years ago
11

Help with this please

Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}

KL=\frac{1-4}{3-1}=\frac{-3}{2}

LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}

JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

\frac{2}{3}\times \frac{-3}{2}=-1

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

You might be interested in
Please help i need an A
Basile [38]

Answer:

(1) 820

(2) 1920

Step-by-step explanation:

(1) solving 20 x 41, using associative property.

20 * 41  = (2 x 10) x 41  = 2 x (10 x 41)

             = 20 x 41         = 2 x 410

             = 820              =  820

(2) distribute 32 as 30 + 2 and solve.

     60 x 32

  = 60 x (30 + 2) = 60(30) + 60(2)

                        = 1800 + 120

                        = 1920

             

3 0
3 years ago
Randy wants to use the Distributive Property to rewrite 56-21. Which expression could he use?
stiks02 [169]
B is your answer.
Because 7 times 8 is 56 and 7 times 3 is 21.
4 0
3 years ago
Read 2 more answers
What’s this need help<br> asap !
Vsevolod [243]
I need points and i’m using this bc you didn’t even give an equation
5 0
2 years ago
If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1​
Fed [463]

Answer:

f(g(x)) = -1

Step-by-step explanation:

f(x) =  \frac{1}{x}  \\  \\ g(x) = x - 2 \\  \\  \implies \: f(g(x)) =  \frac{1}{x - 2}  \\  \\  \implies \: f(g(1)) =  \frac{1}{1 - 2} \\  \\  \implies \: f(g(1)) =  \frac{1}{ - 1} \\  \\  \implies \: f(g(1)) =   - 1

8 0
2 years ago
I need help with this!
lisabon 2012 [21]

Answer:

angle j = 90

angle k = 29

angle L = 61

Step-by-step explanation:

180 = 90 + (4x-19) + (5x+1)

90 = 9x - 18

108 = 9x

x = 12

3 0
3 years ago
Other questions:
  • PLEASE HELP ME!!! ILL GIVE THE FIRST PERSON BRAINLIEST!!!
    7·1 answer
  • (0,0) represents the
    6·2 answers
  • Javier is also kayaking, he can go 1 mild in 2/3 of an hour. How far can he go at this rate in 3 hours?
    11·1 answer
  • Solve for x 5 x − 1 = 6 x − 9
    14·1 answer
  • Tom needs to spend $50 or more at the restaurant. He has already spent $30.25. How much more does tom need to spend to get his f
    10·2 answers
  • What is the range of the data represented by the box plot?
    11·1 answer
  • 7th grade math plss helpp
    12·2 answers
  • Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems eac
    11·1 answer
  • The temperature on Thursday fell 5°F. On Friday, it rose 11°F.​
    14·1 answer
  • HELP!! Select the values for the domain and range of the functions graphed below.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!