answer.
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
mihalych1998 [28]
2 years ago
9

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:

Mathematics
2 answers:
OverLord2011 [107]2 years ago
8 0
<span>D) Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem.</span>
Anestetic [448]2 years ago
5 0

Answer:

D. Angles BAC and DCA are congruent by the Alternate interior angles theorem.

Step-by-step explanation:

Given ABCD is a parallelogram.

AB=CD and BC=AD

AB\parallel CD \; and\; BC\parallel AD

To prove that AB\cong CD\; and\; BC\cong AD.

Proof: According to given information

AB\parallel CD and segment BC\parallel AD.

Construct diagonal AC with a straightedge.

In \triangle ABC\; and\; \triangle ADC

AC=AC

Reflexive property of equality.

m\angle BCA\cong m\angle DAC

By alternate interior angles theorem.

m\angle BAC\cong m\angle DCA

By alternate interior angles theorem.

\triangle BCA\cong\triangle DAC

By ASA( Angle-Side_Angle) theorem.

By CPCTC opposite sides AB and CD, as well as BC and DA are congruent.

Hence proved.

You might be interested in
The water level of a river is 170 feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this
Vladimir [108]

Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.


3 0
2 years ago
Read 2 more answers
A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 gra
Jlenok [28]

Answer:

Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.

Step-by-step explanation:

From the graphs given the more appropriate is one sample t- test

One sample t- test is used and the results are

Hypothesis Test                       Fiber

Sample Mean                          2.62

Sample St. Dev                       3.492

Degrees of Freedom              24

t- test statistic                         0.1718

p- value                                    0.5675

the critical region for this test at ∝= 0.05 is t < -1.711

There is not enough evidence to reject the null hypothesis.

Since the calculated t=   0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not  less than 2.5 grams.T

6 0
2 years ago
Mr. Santos is carpeting his living room. The room measures 21 feet by 15 feet. The carpeting costs $9 per square foot. How much
MariettaO [177]
To solve this problem you must apply the proccedure shown below:
 1- You have that the area of the living room is:
 A=lw (Area of the rectangle); where l is the lengt and w is the width.
 A=(21 feet)(15 feet)
 A=315 feet²
 2- The cost is:
 Cost=315 feet²x$9
 Cost=$2835 
 The answer is: He will need 315 feet² and it will cost $2835
6 0
2 years ago
This form will be sent to Lily by the end of January. She will use this W-2 form to...
yKpoI14uk [10]

Answer:

D-FIle her income taxes

Step-by-step explanation:

7 0
1 year ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
emmainna [20.7K]

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

9 0
2 years ago
Read 2 more answers
Other questions:
  • 105,159 rounded to the nearest ten thousand
    7·2 answers
  • A bank is offering home loans at an interest rate of 5 1/2%. Write the percent as a fraction in simplest form.
    6·2 answers
  • Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies tha
    10·2 answers
  • Uta invests $345 into a simple interest investment account that pays interest at a rate of 9% a year. After several years, she w
    5·2 answers
  • An archeologist discovers the two artifacts shown. a. What integer represents ground level?
    8·2 answers
  • In the country of Apexistan, 7% of the population was unemployed in September of 2007. If there were 147,000,000 people willing
    5·2 answers
  • Fawn plants 2/3 of the garden with vegetables. Her son plants the remainder of the garden. He decides to use 1/2 of his space to
    7·1 answer
  • Joshua has $34 in his bank account. With his new job, he deposits the same amount each week into the account. After 35 weeks, Jo
    11·1 answer
  • A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
    5·2 answers
  • In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!