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
Explain how you would find 45x7/9 mentally
fredd [130]
First you add a one under the 45 than multiply the two numerators together than you should get 315 then multiply the two bottoms numbers now your answer should be 315/9 after that you divide 315 and 9 And than make that a mixed fraction and simply if needed

4 0
3 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Dima020 [189]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ ≥ 50000

For the alternative hypothesis,

µ < 50000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = lifetime of the tyres

µ = mean lifetime

σ = standard deviation

n = number of samples

From the information given,

µ = 50000 miles

x = 45800 miles

σ = 8000

n = 29

z = (50000 - 45800)/(8000/√29) = - 2.83

Looking at the normal distribution table, the probability corresponding to the z score is 0.9977

Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.

6 0
3 years ago
What is 135% of 62?<br><br><br>A: 8. 37<br><br>B: 83. 7<br><br>C:837<br><br>D:8370
Dimas [21]
83.7 goodlucks! hope it os right
7 0
3 years ago
Jalen is covering the box below with sticky wrapping paper. If the paper costs 3 cents per square meter, how much will it cost t
Katena32 [7]
D would be the answer
8 0
3 years ago
Read 2 more answers
Help me please because i'm confused
Fittoniya [83]

Answer:

She does have enough turkey for the recipe. She has enough because 4.35 is greater then 4 1/3. 4 1/3= 4.3333... and 4.35 is greater then 4.3333...

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 10 PTS!!! HELP!
    11·2 answers
  • melissa bought 12 packages of stickers that cost $1.94 each before tax and 18 packages of paper that cost $3.29 each before tax.
    13·1 answer
  • What is the image of (-5,5) after a dilation by a scale factor of 4 centered at the<br> origin?
    6·1 answer
  • A=3 b=3 what is the value of the following expression?<br> 5(a+6b)-7
    11·2 answers
  • In a coordinate plane, plot the points and sketch angle. Write the coordinates of a point that lies in the interior of the<br> a
    13·1 answer
  • -6+u= -8 help me with this pleaseee
    8·2 answers
  • A store had 4 packs of paper for $7.44. How much would it cost if you were to buy 5 packs?
    11·1 answer
  • Need help I think it’s Ethan
    5·1 answer
  • Use the unit price of gasoline at both gas stations to determine which gas station charges more for gasoline (gallons). Be sure
    11·2 answers
  • 1. MGSE7.G.4: A flower garden is circular. The diameter of the garden is 20 feet.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!