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
Kitty [74]
2 years ago
5

In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = x^2 - 12, and CE = 4x What is AC?

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

The length of the AC is x^2  + 4x  - 12.

<h3>What is a parallelogram?</h3>

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given :

In Parallelogram ABCD, diagonals AC and BD intersect at point E.

such that

AE = x^2 - 12,

CE = 4x

We know that the diagonal of a parallelogram bisect each other.

x^2 - 12 = 4x

x^2  - 4x  - 12= 0

(x-6)(x-2) = 0

Hence, the value of x = 6, 2.

AC = AE + CE = x^2  + 4x  - 12.

The length of the AC is x^2  + 4x  - 12.

Learn more about Parallelogram ;

brainly.com/question/12871564

#SPJ1

You might be interested in
Find the remainder when f(x) = 2x3 − 12x2 + 11x + 2 is divided by x − 5.
Likurg_2 [28]

Answer: I couldn’t find your answer to this mathematics question, try a different question to this mathematics answer so I can get it.

Step-by-step explanation:

6 0
3 years ago
Help please i need this done soon!! tysm!!
olga nikolaevna [1]

Answer:

70

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

3 0
3 years ago
Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Lelechka [254]

Answer:

y = - \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - \frac{1}{3} x + 8 ← equation of perpendicular line

6 0
3 years ago
Please help me with this
Sati [7]

Answer:

x = \sqrt{11.4^2+2.6^2}\\\\

Rounded to the nearest hundredths: 11.69.

Step-by-step explanation:

I would use the Pythagorean theorem for this problem.

The difference between the highest point and the lowest point of AD is 9.8-7.2 = 2.6, so that would be the height of the triangle. The length/base of the triangle would be 11.4.

Now, just solve using Pythagorean's theorem:

x = \sqrt{11.4^2+2.6^2}\\\\

Rounded to the nearest hundredths: 11.69.

I hope this helped you.

5 0
3 years ago
Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallons of water are left in the
Alisiya [41]
= 9 \frac{1}{2} - 6 \frac{1}{3} \\ = 9 \frac{3}{6} - 6 \frac{2}{6}
= 3 \frac{3 - 2}{6} \\ = 3 \frac{1}{6}

3 1/6 gallons of water are left in the tank.
3 0
3 years ago
Read 2 more answers
Other questions:
  • If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is
    13·1 answer
  • 70 students at a school were asked to complete a survey about the location of their next field trip. 28 students chose the zoo 3
    5·2 answers
  • Could someone please help me with this question? Thank you!
    7·1 answer
  • How would I solve Part B?
    14·1 answer
  • Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) =
    8·2 answers
  • Number 3 . Help please
    6·1 answer
  • Which number sentence is true?
    5·2 answers
  • Order these numbers from least to greatest. The top number in your list should be the least, and the bottom number should be the
    13·2 answers
  • What is the ratio 100:120 in it's simplest form?
    12·2 answers
  • -x = 2y + 1 what is the answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!