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
goldfiish [28.3K]
3 years ago
8

n parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m. What are the values of x and y? x = 10, y

= 1 x = 10, y = 2 x = 11, y = 1

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

The value of x = 11  and y = 2

Step-by-step explanation:

Given : parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m.

We have to find values of x and y.

Let P be the point of intersection of diagonals OM and LN.

In a parallelogram diagonal  bisects at right angles  and point of intersection divide diagonal in equal parts.

Thus, OP = MP and LP = PN

OP = MP , substitute the values, we get,

(2x-1) =  21

⇒ 2x = 22

⇒  x = 11

LP = PN , substitute the values, we get,

y + 3 = 3y -1

⇒  3y - y = 4

⇒  2y = 4

⇒ y = 2  

Thus, the value of x = 11  and y = 2


You might be interested in
I need an answer ASAP pls
tino4ka555 [31]

Answer:

Age 42 salary 30,000

Step-by-step explanation:

He had to restart his medical training, therefore, making him have a lower salary regardless of his age, making this point an obvious outlier

4 0
3 years ago
After analyzing a data set using the one-way ANOVA model, the same data are analyzed using the randomized block design ANOVA mod
Contact [7]

Answer: Always equal to

Step-by-step explanation:

A one way analysis of variance refers to the technique that is used in knowing if there's significant difference between two samples means.

Based on the options given, it should be noted that SS (Treatment) in the one-way ANOVA model is always equal to the SS (Treatment) in the randomized block design ANOVA model.

4 0
3 years ago
I am greater than 35 i am less than 45 i have 2 ones
Nookie1986 [14]
What? I don't understand.
8 0
3 years ago
Read 2 more answers
Plz help me i dont understand
stiks02 [169]

Answer:

23

hope it helped you!!

BTW, angle 1 + angle 2 = 180

7 0
3 years ago
Read 2 more answers
Which property can be justified using the ratios in triangle XYZ ?
Alenkasestr [34]
The correct answer is B.

Determine and recall first the trigonometric functions:

Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z. 

Use this test to answer:

Sin Y = Y/X

where:

Y = opposite
X = hypotenuse 

Cos (90 - y) = cos (90 - 50) = cos 40

where Z = 40
we look for cos Z = Y/X

Therefore,

Sin Y = Cos (90 - Y) 

6 0
3 years ago
Read 2 more answers
Other questions:
  • use Great Pyramid of Giza and create a scale drawing using an exact proportion between the pyramid and scale drawing.
    10·1 answer
  • 81/5+(42/5+33/10= to simply from
    10·1 answer
  • Translate the inequality and solve. Negative three times a number is less than six.
    9·2 answers
  • Carla earns $564 for 30 hours of work. Which represents the unit rate?
    12·2 answers
  • −1/2÷7 1/2 dividing fraction
    7·1 answer
  • the Ratio of Chaperones to student on a field trip is 2:7 . There are 14 Chaperones on the field trip . In all , how many chaper
    14·2 answers
  • Amanda wants to pay the same amount each month on her car loan. The number of the payment various inversely with the monthly pay
    10·1 answer
  • (1+1-1+1-1+1-1+1-1+1-1)*(1÷1)+(591+(-591))*1
    13·2 answers
  • Drag the tiles to the correct boxes to complete the pair.
    11·1 answer
  • Find the slope and the y-intercept of the graph of the linear equation. y=3−12x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!