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
liberstina [14]
3 years ago
12

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

You might be interested in
In triangle ABC, M< A = 90° And M< C = 22° what is the measure of angle B
dedylja [7]

Answer:

The answer for ∠B = 68°

Step-by-step explanation:

Total angle in a triangle is 180° so you can just substract ∠A and ∠C from 180° :

∠A + ∠B + ∠C = 180°

90° + ∠B + 22° = 180°

∠B = 180° - 90° - 22°

= 68°

6 0
3 years ago
Perry currently has $180 dollars and is spending $6 per day. Nick has no money
Nutka1998 [239]

Answer:

After 13 days (Rounded) If you dont round it's \frac{90}{7} or 12\frac{6}{7}

Step-by-step explanation:

Perry: 180 - 6x = 8x

180 - 6x + 6x = 8x + 6x

180 = 14x

180/14 = 14x/14

90/7 = x

4 0
3 years ago
What is the value of x in the equation 25x2 = 16. A. 5/4. B. 4. C. 4/5. D. 16/25
Sergeeva-Olga [200]

Answer:

x = ⅘

Step-by-step explanation:

For clarity, exponents should be marked with a ^.  25x² can be written as 25x^2.

25x² = 16

divide both sides by the 25

x² = 16/25

take the square root of both sides

x = √(16/25) = √16/√25 = 4/5

6 0
3 years ago
A Genesse High School, the Sophomore class has 60 more students than the Freshmen class. The junior class has 50 fewer students
alexira [117]
1427 = (F) (+ F + 60) (2F - 50) (+ 3F)
<em>Each pair of brackets represents one of the classes - F meaning Freshmen Class. It has been split into brackets for demonstrational purposes - nothing is being multiplied.</em>
F is an unknown number and each other class size is based off of that so we put it in algebraic terms in order to work it out.
1 - Freshmen Class
2 - Sophomore Class (Freshmen Class + 60 more students)
3 - Junior Class ( Twice the size of the Freshmen Class - 50 students)
4 - Senior Class (Three times the size of the Freshmen Class)

All this can be simplified to 7F + 10 = 1427
1427 - 10 = 1417
1417/7 = 202.428....

Is there a mistake in the question?

Following the question with 202 as the answer - the number 1424 is reached
If increased to 203 - 1431 is reached.
The answer shouldn't include half a person.

3 0
3 years ago
Frequency of y=sin0/3
katen-ka-za [31]

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

6 0
3 years ago
Other questions:
  • Lin rode a bike 20 miles in 120 minutes at the constant speed. how long did it take her to ride 6 miles​
    15·1 answer
  • In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t
    8·1 answer
  • Solve and round to the nearest hundredth please!!!
    15·1 answer
  • D/12 = 0.25 bbhhgshdhrjrhfbbdb
    9·1 answer
  • A survey taken by 1,000 students at a school asked
    13·1 answer
  • Is it right for people to get credit for an answer if they looked it up?
    12·2 answers
  • Find the slope of the line
    11·1 answer
  • Please help with my math question! :))
    7·2 answers
  • Help asap for my sister
    8·2 answers
  • What is the value of X? Show your work.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!