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
RUDIKE [14]
3 years ago
8

ABCD is a parallelogram. E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE

Mathematics
2 answers:
iogann1982 [59]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that ABCD is  a parallelogram.

E is the point where the diagonals AC and BD meet.

Consider triangles ABE and CDE

Statement                         Reason

--------------------------------------------------------------------

1) AB =CD                         Opposite sides of a parallelogram

2) Angle ABE =

Angle EDC                      Alternate angles of two parallel lines

3) BE = DE                       Diagonals bisect each other in a parallelogram

Hence by SAS axiom the two triangles are congruent.

Darina [25.2K]3 years ago
5 0
ABCD is a parallelogram                  Given
AE=CE, BE=DE                                <span>The diagonals of a parallelogram are                                                                     bisect each other
</span>∠AEB=∠CED                                    Vertical angles are congruent
ΔABE is congruent to ΔCDE            SAS theorem<span>
</span>
You might be interested in
Ms. Jackson emptied 16 boxes of crayons into a classroom crayon bucket in each box 2/9 The crayons were green how many crayon bo
mote1985 [20]

Answer:

2 boxes

Step-by-step explanation:

do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes

5 0
3 years ago
Read 2 more answers
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd =
swat32

Answer:

Test statistic, t_{s} = -0.603 (to 3 dp)

Step-by-step explanation:

Deviation, d = x -y

Sample mean for the deviation

\bar{d} = \frac{\sum x-y}{n}

\bar{d} = \frac{(28-6) + (31-27)+(20-26)+(25-25)+(28-29)+(27-32)+(33-33)+(35-34)}{8} \\\bar{d} = -0.625

Standard deviation: SD = \sqrt{\frac{\sum d^{2} - n \bar{d}^2}{n-1}  }

\sum d^{2}  = (28-26)^2 + (31-27)^2 +(20-26)^2 +(25-25)^2 +(28-29)^2 +(27-32)^2 +(33-33)^2 +(35-34)^2\\\sum d^{2}  = 63

SD = \sqrt{\frac{63 - 8 *  (-0.625)^2}{8-1}  }

SD =2.93

Under the null hypothesis, the formula for the test statistics will be given by:

t_{s} = \frac{ \bar{d}}{s_{d}/\sqrt{n}  } \\t_{s} = \frac{- 0.625}{2.93/\sqrt{8}  }

t_{s} = -0.6033

6 0
3 years ago
Suppose that taxis in New York are driven an average of 60,000 miles per year with a standard deviation of 11,000 miles. Assume
Gre4nikov [31]
<span>Let n be the number of taxis in NY. The average distance travelled is 60,000 miles, therefore the middle 95% will have the same average as the population, the reason being the mileage is symmetrically distributed about the mean Therefore the total number of miles in one year for the middle 95% is 60,000 * 0.95 * n
</span><span>The range of miles driven by the middle 95% can be found from the empirical rule that says: For a normal distribution, approximately 95% of the data points lie within the range plus and minus 2 standard deviations of the population mean. In this case the range is (60,000-22,000) to (60,000 + 22,000)</span>
3 0
2 years ago
Well... I think you get the point
Mariana [72]

Answer:

Choice B

Step-by-step explanation:

USE PEMDAS

First do the things in the parenthesis. 2 1/3- 3/4 is 19/12

Multiply 19/12 by 1/6. You get 19/72. Add 5/24. You get 34/72. Simplify: 17/36

Please give my Brainliest I would really appreciate it!

Hope this helps!

8 0
2 years ago
35 : ? = 20 : 24 <br> QUICKLY PLEASE!!
Archy [21]

Answer:

35:42=20:24

Hope this helps!

7 0
2 years ago
Read 2 more answers
Other questions:
  • suppose that you decide to spend no more than $30 for tickets. What are the possible combinations of small and large rides that
    11·2 answers
  • Determine the slope of the line that contains the given points. T(4, 6), V(8, 7)
    7·2 answers
  • What is an important reactant for cellular respiration that produces energy in the form of ATP
    6·1 answer
  • Write an equation of a line with the given slope and y-intercept.
    6·1 answer
  • 135<br> -----<br> 60<br><br> 25<br> ------<br> 8<br><br> 3125<br> -----------<br> 10000
    5·1 answer
  • If f(x)=(x+1)(x-2)(x-3) represent a student's displacement from school, what changes would g(x)=-0.5(x-9)(x-12)(x-13)+6 entail?
    8·1 answer
  • Holiday Time! Crazy Time! You have to work 7 days in a row. You work 8 hours a day every single day for 7 days straight. Your wa
    10·2 answers
  • Please help me with this question about finding surface area
    9·1 answer
  • 5y+3&gt;-7+13 (khan academy)
    12·2 answers
  • Rebekah bought g gallons of paint for $12.85 per gallon and b brushes for $4.79 each. Which expression can be used to determine
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!