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
umka21 [38]
3 years ago
14

Find the value of x for which ABCD must be a parallelogram.

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0

The value of x is 13°.

Solution:

Given ABCD is a parallelogram.

⇒ AD || BC and AC is a transversal line.

<u>Property of parallel lines:</u>

<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>

∠DAC = ∠CAB

(4x - 1)° = (x + 38)°

4x° - 1° = x° + 38°

Add 1° on both sides.

4x° - 1° + 1° = x° + 38° + 1°

4x° = x° + 39°

Subtract x° from both sides.

4x° - x° = x° + 39° - x°

3x° = 39°

Divide by 3° on both sides.

x = 13°

The value of x is 13°.

You might be interested in
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 and 3/5 doors. How many liters of
vitfil [10]

Answer:

1 and 1/4 liters of paint are needed for one door

Step-by-step explanation:

You can eliminate each answer choice out. For '4/5 liters' you know that if that amount was used, it wouldn't be reasonable since it would mean that the more was used for the other 3/5 door. 3 and 1.5 would be too much since it is over 2 liters. 2 liters wouldn't be logical since you paint 1 <em>and</em> 3/5 of a door and you only used 2 liters, no more or no less, basically what would you use for the other 3/5 door if this was the answer.

Hope this helps!

4 0
2 years ago
Read 2 more answers
If (angle)1 = 7x and (angle)4 = 3x + 20, what is the value of x?
Semenov [28]
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
7 0
3 years ago
Read 2 more answers
What can you predict regarding the probability of the coin landing heads up?
Kisachek [45]

Answer:

the probability is ½

Step-by-step explanation:

think so

3 0
2 years ago
A men earns $62 per week. how many will he earn if he works a full year 52weeks
Sever21 [200]
62$ (earns of 1 week) multiplied with 52 weeks (how often he earns the 62$) is 3224
5 0
2 years ago
Read 2 more answers
A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed
ladessa [460]
12/3 = 4 4 cars per hour 4 x 5 = $20 20 x 8 = $160 for 8 hrs
5 0
2 years ago
Read 2 more answers
Other questions:
  • Lakisha had $10 dollar bills and $1 bills in her wallet. She used seven bills to buy a pair of shoes for $43. How many of each t
    10·2 answers
  • 14. Tell whether the sequence 1 3 , 0, 1, −2 … is arithmetic, geometric, or neither. Find the next three terms of the sequence.
    8·2 answers
  • Joel made some muffins. He gave 1\4 of the muffins to a neighbor.He took 3\8 of the muffins to school.What fraction of muffins i
    7·2 answers
  • Vicente se gasta 20 euros en un pantalón y una camisa. No sabe el precio de cada prenda, pero sí sabe que la camisa vale dos qui
    12·1 answer
  • Mr Floyd is laying grass squares in his backyard. He will cover the entire yard except for the vegetable garden. How many square
    12·2 answers
  • 4 men or 12 boys can do a certain work in 36 days. How long will 6 men and 10 boys take to do it?
    10·1 answer
  • sarah use 3/4 pound of b blueberries to make 1/2 cup of jam . how many pound of blueberries would she need to make a cup of jam
    9·1 answer
  • Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...
    15·2 answers
  • Please help!!
    10·2 answers
  • London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie w
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!