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
Alex73 [517]
2 years ago
8

What is the length of side AB of parallelogram ABCD? units 4g - 8 B q+4

Mathematics
1 answer:
Andrews [41]2 years ago
6 0

Answer:

8 units

Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

  • 4q-8-q=q+4-q
  • 3q-8=4

Step 2: Add 8 to both sides.

  • 3q-8+8=4+8
  • 3q=12

Step 3: Divide both sides by 3.

  • 3q/3 = 12/3
  • q=4

Step 4: Plug in the value of q for side AB.

  • 4(4)-8
  • 16-8
  • 8

Therefore, the answer is 8 units.

You might be interested in
Please help. On a winter day in Alaska, the temperature at noon was -0.6°C. From noon to 3:00, the temperature increased by 1.2°
fomenos

Answer:

1st choice

Step-by-step explanation:

Temp at noon was -0.6. It increases 1.2 until 3.

-0.6+1.2

gets colder 0.4, then 0.6.

-0.6+1.2-0.4-0.6

the only correct way to put this equation as one of the other answers is by putting it as -0.6+1.2+(-0.4)+(-0.6)

hope that helped!

7 0
3 years ago
I really don’t understand this and just need an explanation of how to do it.
sertanlavr [38]

\bf ~\hspace{12em}\left( \cfrac{2n}{-3n\cdot -2n^2} \right)^4&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\cfrac{2n}{-3n\cdot -2n^2}\implies \cfrac{1}{-3n}\cdot \cfrac{2n}{-2n^2}\implies \cfrac{1}{-3n}\cdot \cfrac{2n}{2n\cdot -n}\implies \cfrac{1}{-3n}\cdot \cfrac{2n}{2n}\cdot \cfrac{1}{-n}


\bf \cfrac{1}{-3n}\cdot \boxed{1}\cdot \cfrac{1}{-n}\implies \cfrac{1}{-3n\cdot -n}\implies \cfrac{1}{3n^2}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\left( \cfrac{2n}{-3n\cdot -2n^2} \right)^4\implies \left( \cfrac{1}{3n^2} \right)^4\implies \stackrel{\textit{distributing the exponent}}{\cfrac{1^4}{3^4n^{2\cdot 4}}}\implies \cfrac{1}{81n^8}

7 0
3 years ago
Literally answer any of the questions above and it’ll be the biggest help
Tcecarenko [31]

The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.

We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.

a) The cosine values repeat every 2π, so the general form of the smallest angle will be

... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ

b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is

... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ

c) Using these expressions with k=0, 1, 2, we get

... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}

3 0
3 years ago
Simplify the expression 63 + 5(4-2)
Natalka [10]

Answer:

63 + 10

Step-by-step explanation:

when you do parenthesis and the number is next to another one with no symbol you multiply so 4-2 = 2 2 x 5 = 10 giving you 63 + 10

6 0
2 years ago
Find the Missing angle <br>​
pashok25 [27]

Answer:

50

Step-by-step explanation:

70+60 =130

180-130 = 50 degrees

4 0
3 years ago
Read 2 more answers
Other questions:
  • A cartoon last is one 1/2 of an hour. A movie is 6 times longer than the cartoon. How many minutes does it take to watch both th
    10·1 answer
  • I'm in algebra 1 please help i'm so lost
    9·2 answers
  • Which of the following most closely rounds to the number 1?
    12·2 answers
  • What is x 9/4x = 8 1/2
    13·1 answer
  • .
    8·1 answer
  • Help meee please.........
    15·1 answer
  • -1/3 + 5e = -3/4 <br> Pls show your work
    13·1 answer
  • Write the expression. Then, complete the statements.
    13·1 answer
  • If I have one broccoli and my teacher gives me two broccolis how many broccolis do I have​
    10·2 answers
  • What is 75% of 45? somebody help me quick :)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!