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
ArbitrLikvidat [17]
2 years ago
13

(01.07 MC) Lines BC and ED are parallel. They are intersected by transversal AE, in which point B lies between points and E. The

y are also intersected by transversal EC. Angle ABC measures 70 degrees. Angle CED measures 30 degrees. Given: line BC is parallel to line ED m∠ABC = 70° m∠CED = 30° Prove: m∠BEC = 40° Statement Justification line BC is parallel to line ED Given m∠ABC = 70° Given m∠CED = 30° Given m∠BEC + m∠CED = m∠BED Angle Addition Postulate m∠BEC + 30° = 70° Substitution Property of Equality m∠BEC = 40° Subtraction Property of Equality Which of the following accurately completes the missing statement and justification of the two-column proof? m∠ABC = m∠CED; Corresponding Angles Theorem m∠ABC = m∠CED; Alternate Interior Angles Theorem m∠ABC = m∠BED; Corresponding Angles Theorem m∠ABC = m∠BED; Alternate Interior Angles Theorem

Mathematics
2 answers:
Brrunno [24]2 years ago
6 0

Answer:

m∠ABC = m∠BED; Corresponding Angles Theorem

Step-by-step explanation:

<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°

<u>Prove:</u> m∠BEC = 40°

Statement Justification

1. line BC is parallel to line ED - Given

2. m∠ABC = 70° - Given

3. m∠CED = 30° - Given

4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate

5. m∠ABC = m∠BED - Corresponding Angles Theorem

6. m∠BEC + 30° = 70° - Substitution Property of Equality

7. m∠BEC = 40° Subtraction Property of Equality

Len [333]2 years ago
5 0

Answer:

m∠ABC = m∠BED - Corresponding Angles Theorem

Step-by-step explanation:

I took the test and got it right

You might be interested in
Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f
stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = (x-3)

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ (10)(x) = $ (10x)

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $(10+7.50) = $17.50.

For (x-3) large driveways Carlos will charge = $ (17.50)(x-3) = $ (17.50x - 52.50)

Given, the total amount he makes = $140

So we can write the equation as,

10x + 17.50x - 52.50 = 140

27.50x + 52.50 = 140

We will move 52.50 to the right side by adding it to both sides. We will get,

27.50x - 52.50 + 52.50 = 140 + 52.50

27.50x = 192.50

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}

x =\frac{192.50}{52.50}

x = 7

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.


8 0
2 years ago
The student senate at a local university is about to hold elections. A representative from the women’s sports program and a repr
Amanda [17]

Answer: H0: p1 ≤ p2, Ha: p1 > p2

Step-by-step explanation:

According to the information obtained, we can say that the hypothesis that determines that the percentages of support votes are different between the two incumbent candidates is as follows

H0: p1 ≤ p2, Ha: p1> p2

where the null hypothesis represents the difference between proportions

6 0
2 years ago
At the town carnival Darren rode the ferris wheel seven times and the bumper cars three times. if each ride cost five tickets. a
stira [4]

Answer:

$10.5

Step-by-step explanation:

3 0
2 years ago
A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a lin
GrogVix [38]

Answer:

Step-by-step explanation:

Where are the choices?

m and f are the cups of milk and flour, respectively.

m = ¼f + 1

3 0
2 years ago
Factor the expression 2x(x+1) - 7 (x+1)
valentina_108 [34]

Answer:

See it and do it

Follow me please

3 0
1 year ago
Other questions:
  • The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b
    8·2 answers
  • Ryan and Scott are each studying a square pyramid.
    12·2 answers
  • Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is A
    9·1 answer
  • What is the difference between a slope change and a translation
    5·1 answer
  • The table shows Mr. Winkler’s schedule for paying off his credit card balance. A 5-column table with 4 rows. Column 1 is labeled
    10·2 answers
  • Sarah received \$55$55dollar sign, 55 for her birthday. She used some of that money to buy 333 shirts priced at mmm dollars each
    11·1 answer
  • Mg+rg=2H, solve for g
    7·1 answer
  • Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in year
    12·1 answer
  • Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW Triangles Z V T and X W U overlap and intersect at point Y. Angles Z T U and W U W are
    14·2 answers
  • Quinn and randy both opened savings accounts with $50. Quinn deposited $25 each week for 4 weeks . randy deposited more than $25
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!