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
Anton [14]
3 years ago
13

Given parallelogram ABCDABCD, diagonals ACAC and BDBD intersect at point E. AE=2x, BE=y+10, CE=x+2AE=2x, BE=y+10, CE=x+2 and DE=

4y−8DE=4y−8. Find yy.

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

<em>y = 6</em>

<em></em>

Step-by-step explanation:

Given a parallelogram ABCD with diagonals AC and BD.

Kindly refer to the diagram attached for the given parallelogram.

AE=2x\\BE=y+10\\CE=x+2\\DE=4y-8

To find:

The value of y = ?

Solution:

First of all, let us consider a property of parallelogram and its diagonals.

The intersecting point of diagonals of a parallelogram bisect the diagonals in two equal parts.

Let us consider the given parallelogram ABCD which has its diagonals BD and AC intersecting at point E.

As per the property stated above:

<em>AE = CE </em>and

<em>DE = BE</em>

Putting the values of AE, CE, DE and BE as given in the question statement and solving for x and y:

2x = x+2\\\Rightarrow \bold{x = 2}

and

y+10=4y-8\\\Rightarrow 4y-y = 10+8\\\Rightarrow 3y=18\\\Rightarrow y =\dfrac{18}{3}\\\Rightarrow \bold{y= 6}

So, the answer is:

<em>y = 6</em>

You might be interested in
They wont let me post this i don't know why:(
QveST [7]

Answer:

Im choosing A and yes that would be great

Step-by-step explanation:

3 0
3 years ago
A line passes through the point (2,3) and has a slope of 0, what equation of the line?
Andru [333]

Answer: B

Step-by-step explanation: put the points on a graph

6 0
2 years ago
Leon made more baskets than Jaden but fewer baskets than Jeremiah. Who made more baskets, Jeremiah or Jaden?
snow_lady [41]

Answer:

I’m pretty sure it’s Jeremiah

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plzz solve in 2 mins
Katen [24]

Answer:

A is the answer

Step-by-step explanation:

3×3 is 9 and 2×3 is 6

4 0
3 years ago
Read 2 more answers
Evaluate 2x - y + 4z, if x = 1, y = 2 and z = -1
lidiya [134]

2 x 1 - 2 + 4 x -1 =

the answer is -4.

5 0
3 years ago
Other questions:
  • Mrs. Thompson spins the spinner below two times. Find the probability that the spinner will land on a 6 on the first spin and a
    7·1 answer
  • Rewrite the expression in the form x
    13·1 answer
  • A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 62m wide.
    10·1 answer
  • Dividing polynomials. Aka the worst math subject ever<br><br> (X^3+729) / (x+8)
    14·1 answer
  • Simplify.n 6 · n 5 · n 4 ÷ n 3 · n 2 ÷ n
    6·1 answer
  • For exercise, mr.harris walked 1 and 3 fourths miles 5 times last week.how many miles did he walk in all?
    11·2 answers
  • Which transformations of ƒ(x) = 3x does h(x) = -3x - 7 represent? reflection over the y-axis and shifted 7 units down reflection
    9·1 answer
  • What is the definition of a term?
    10·1 answer
  • Find derivative problem<br> Find B’(6)
    6·1 answer
  • Hi guys please help meee
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!