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
alukav5142 [94]
3 years ago
11

1. Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provid

ed below. You may also add additional rows if needed. Given: Parallelogram ABCD Prove: Angle A and B are supplementary. C and d are supplementary.

Mathematics
2 answers:
marshall27 [118]3 years ago
7 0

Answer:  

Given: ABCD is a parallelogram.

Prove: Angle A and B are supplementary and C and D are supplementary.

That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°


                Statement                                                Reason

1. ABCD is a parallelogram              1. Given  

2.m∠A=m∠C and m∠B=m∠D         2. Definition of parallelogram.

3.m∠A+m∠B+m∠C+m∠D=360°      3. Definition of quadrilateral

4. m∠A+m∠B+m∠A+m∠B=360°     4. By substitution

⇒ 2( m∠A + m∠B ) = 360°

⇒ m∠A + m∠B = 180°

Similarly, m∠C + m∠D = 180°

5.∠A and ∠C are supplementary,  5. Def. of Supplementary

∠ B and ∠D are supplementary

Sergio [31]3 years ago
3 0

Answer:

are you sure those previous answers are correct?

You might be interested in
Someone please help, i honestly don’t get how to find the angles
jeyben [28]
A.) the degrees inside the triangles are 50, 70, and 60. you know because 180-120=60
b.) you know that they are similar triangles because they have the same angle degrees.

im not sure if this is correct but i think it is :)

8 0
3 years ago
Múltiplos comunes de 3 y 6​
N76 [4]

Answer:

1 y 3

Step-by-step explanation:

1*6=6

1*3=3

2*3=6

1*3=3

4 0
2 years ago
Read 2 more answers
The table below shows the population of a town over x years. A 2-column table with 5 rows. The first column is labeled years wit
mel-nik [20]

Answer:

10,346.0(1.1)^x

112,096 people

Step-by-step explanation:

edg

8 0
3 years ago
Read 2 more answers
How many years will it take for the account to reach $18,600? Round your answer to the nearest hundredth
Margarita [4]
 <span>it depends how the interest is calculated, but there's not much of a difference 

assuming its continuously compouned, you use this formula: A(t)=Pe^(rt), where A is the final amount, P is the initial investment, r is the interest, and t is the time in years 

you want to find t such that A(t)=18,600 so 18,600=1000e^(.0675t) 

you need to use logarithm to figure it out, take the natural log of both sides 

the following properties will come into use: 

ln(a*b)=ln(a)+ln(b) 
ln(a^b)=bln(a) 
ln(e)=1 

taking the natural log 

ln(18,600)=ln(1000e^(.0675t)) 

ln(18,600)=ln(1000)+ln(e^.0675t) 

ln(18600)=ln(1000) + .0675t 

now solve for t: t= (ln(18600)-ln(1000))/.0675 

t=43.31</span>
4 0
3 years ago
The temperature in an oven changes from 350 degrees to 362 degrees. What is the percent increase in temperature, to the nearest
Aleksandr-060686 [28]

Answer:

it's 3.4%

Step-by-step explanation:

You take the difference of 362 and 350 (which is 12) and divide it by the starting number (350) getting you 3.4

5 0
2 years ago
Other questions:
  • What are the Values of h and k?
    8·2 answers
  • miguel is making an obstacle course for feild day.at the end of every sixth of the course is a tire.at the end of every third of
    9·1 answer
  • Robert gives roping lessons at the Sundown Corral. A 3-hour lesson costs $120.00. The cost of a lesson is proportional to the du
    9·1 answer
  • PLZ do this fast! I need to finish quick!!!!!!!! :/
    14·1 answer
  • Look at photo because I don’t get it
    10·2 answers
  • A car company sells a scale model to of the size of one of its cars.
    15·1 answer
  • Select all points from the list below that lie
    7·1 answer
  • Find the area of circle that has a circumference of 100 pi
    11·1 answer
  • Study the dashed arrows in the image.
    5·2 answers
  • The following confidence interval is'obtained for a population proportion p: 0.87 &lt; p &lt; 0.93 What is the margin error E. T
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!