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
7nadin3 [17]
2 years ago
14

find the numerical lengths of the diagonals of the parallelogram below where FB=4x-2 FD=3y-1 FC=3x and FA=3y-3. solve using a sy

stem of equations via substitution or elimination methods.

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

Answer:

BD = 28

AC = 24

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

4x − 2 = 3y − 1

3x = 3y − 3

Using elimination to solve the system of equations, subtract the second equation from the first.

(4x − 2) − 3x = (3y − 1) − (3y − 3)

4x − 2 − 3x = 3y − 1 − 3y + 3

x − 2 = 2

x = 4

Substitute into either equation to find y.

3(4) = 3y − 3

12 = 3y − 3

15 = 3y

y = 5

The length of BD is:

4(4) − 2 + 3(5) − 1 = 28

The length of AC is:

3(4) + 3(5) − 3 = 24

You might be interested in
The population of bacteria in a petri dish doubles every 12 h. The population of the bacteria is initially 500 organisms. How lo
Alenkasestr [34]

Answer:

The answer is 8.1 h




Good luck!!!!!

Step-by-step explanation:


6 0
2 years ago
Find the area of the shaded region
ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0
3 years ago
One third of the opposite of a number is less than 12. Write and inequality.
fenix001 [56]
X= a number

The opposite of a number is its negative opposite. It's the additive inverses of a number. The additive inverse of 4 is -4. It will always equal zero when added together.

Inequality:
1/3(-x) < 12

Hope this helps! :)

3 0
3 years ago
Can someone please help me with this problem
LenKa [72]

Answer:

the piont was 10.15 away from the that is dead see yea

Step-by-step explanation:

5 0
3 years ago
I need help with this question so hard
qaws [65]

Answer:

The answer to part B will be for length the mean is 2.08, the median is 2.6, and the mode is 2.6. For height the mean is 1.5, the median is 1.4, and there isn't a mode since no number repeat. It will the 0.6, 1.0, 1.4, 1.7, 2.8. Hope this helps!

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional emp
    15·2 answers
  • Jackson is at a collectible fair.He has exactly 8$ and will purchase a collectible card for 5$.What percent of his money will he
    10·1 answer
  • A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic filling machine. Ea
    5·2 answers
  • If the spinner is spun 360 times what is most reasonable estimate of the number of times the spinner will land on red or yellow
    11·1 answer
  • Manuela makes $21 in commissions over the first three hours that she worked selling magazines. How many dollars must she make du
    11·2 answers
  • The owner of real estate agency is looking over the monthly
    6·2 answers
  • What is the solution to the following system of equations: 2x + 4y = 8 -2x - 4y = 8 the options are (4, 0),(0, 2) No Solution In
    7·1 answer
  • You earn $8.50 per hour walking dogs and $5.75 per hour mowing lawns. The amount you earn is given by the expression 8.5x + 5.75
    12·1 answer
  • Drag each expression to the phrase it best translates.
    8·1 answer
  • What is the percent change if the temperature rises from 21*C to 29*C? Round to the nearest tenth.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!