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
Archy [21]
3 years ago
7

In parallelogram ABCD, AE=x^2-6 and CE=5x what is the value of x ? What is AC?

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, hence

AE = EC, that is

x² - 6 = 5x ( subtract 5x from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 5

However x > 0 ⇒ x = 6

AC = x² - 6 + 5x = 6² - 6 + 5(6) = 36 - 6 + 30 = 60

You might be interested in
How much does he/she pay with 10 %
ss7ja [257]

Answer:

5085

Step-by-step explanation:

price after discount is 5000- 10% of 5000 = 4500

V.A.T = 13% of 4500 = (13/100)*4500= 13*45= 585

Price after V.A.T = 4500 + 585 = 5085

5 0
3 years ago
You have 8 dime you trade each dime for 10 pennies. How mainly pennies will you have?
laila [671]
Youll have 80 pennies. dime=.10    10x8=80
6 0
3 years ago
Read 2 more answers
In how many ways can a committee of 5 people be chosen from a total of 30 possible people?
Stolb23 [73]

Answer:  142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

C(n,r)=\dfrac{n!}{(n-r)!r!}

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506

Hence, the committee can be made in 142506 ways.

3 0
3 years ago
Find at least three nonzero terms​ (including a 0 and at least two cosine terms and two sine terms if they are not all​ zero) of
Ainat [17]
You could subtract the denominator fro the numerator which would give you a total sum of 1 thousand an fifty five
7 0
3 years ago
Need help please for school thank uuuuu
kramer

Answer:

>

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • What the surface area
    13·1 answer
  • Helppp me pleaseee:/:
    14·1 answer
  • Edith budgets a maximum of $50 per month for her cell phone bill. her cell phone provider charges $30 a month as a base fee $0.1
    14·1 answer
  • On Tuesday and Wednesday of last week I left home for school at the same time. On Tuesday I drove 40 mph (miles per hour) on my
    12·1 answer
  • Write 10 ^ 10 * 10 ^ 0 with a power of 10 with a single exponent using the appropriate exponent rule explain or show your reason
    9·2 answers
  • A copy machine makes 98 copies in 3 minutes and 30 seconds how many copies does it make per minute​
    10·1 answer
  • What is negative 8 plus 8
    9·2 answers
  • Write the equation of a line in slope-intercept form that has a slope of -0.5 and passes through the point (-5, 1.5)
    12·1 answer
  • The Empire State Building in New York City
    7·1 answer
  • Cuantos paquetes de 5/8 de kilo harán falta para envasar 125 kilos de harina
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!