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
daser333 [38]
3 years ago
10

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are supplementary by the . By the , m∠3 + m ∠1 = 180. Now we can substitute m∠5 for m∠1 to get m∠3 + m∠5 = 180. Therefore, by the definition of supplementary angles, ∠3 and ∠5 are supplementary.

Mathematics
2 answers:
zaharov [31]3 years ago
5 0

Answer:

corresponding angles theorem

linear pair postulate

definition of supplementary angles

Step-by-step explanation:

ololo11 [35]3 years ago
4 0

Answer:

From the graph attached, we know that \angle 1 \cong \angle 5 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like \angle 1 and \angle 5.

We also know that, by definition of linear pair postulate, \angle 3 and \angle 1 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that \angle 3 and \angle 1 together are 180°, because they are on a straight angle. That is, m \angle 3 + m \angle 1 = 180\°

If we substitute \angle 5 for \angle 1, we have m \angle 3 + m \angle 5 = 180\°, which means that \angle 3 and \angle 5 are also supplementary by definition.

You might be interested in
Area of a regular decagon with side length of 8in
Scrat [10]

Answer:

492.43in²

Step-by-step explanation:

I might be wrong.

4 0
3 years ago
F(x) - 3x -9; g(x) = x -4 what is the value of (g o f)(x)
Ratling [72]
-3x-13
since there is no x value the equation can not be solved any further.
:)))))


6 0
3 years ago
If I add 9 to my number,I get 6.what is my number?
aleksley [76]
You can set up the equation x+9=6. So the number will be -3

7 0
3 years ago
Read 2 more answers
LET me do it again for y'all lol
Nady [450]

Answer:

suree thx

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per we
Vikentia [17]

Answer:

$ 850

Step-by-step explanation:

Martha and her brother started their own car-washing business.

We need to use front-end estimation to find out about how much their business will earn in 5 weeks.

Amount charged per car = $8.50

Number of cars washed per weekend = 22

Therefore, amount earned per weekend = Amount charged per car ×  Number of cars washed per weekend = 8.50 × 22 = $ 187

Amount earned in 5 weeks = amount earned per weekend × 5 = 187 × 5 =  $  935

Therefore, their business will earn $ 935 in 5 weeks.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me with this I don’t understand
    7·2 answers
  • Brian "bicycle kicked" a soccer ball up from a height of 4ft off the ground with an initial upward velocity of 34 feet/sec. As t
    10·1 answer
  • Explain why 3x^2+kx-1 is never always positive for any value of k
    5·1 answer
  • Is 25.9578 a irrational
    6·1 answer
  • Divide the numbers above
    9·1 answer
  • The circumference of a circle is 5(pie). Which of these correctly states the diameter? Please explain and dont just write the le
    5·2 answers
  • 3-8 Present Value of Investments 165
    7·1 answer
  • Check all of the proper units of weight in the metric system.
    11·1 answer
  • Help please thank you
    11·1 answer
  • Triangle ABC is isosceles where AC = CB. AC = 6a - 8 and CB = 4a - 2. Find AC.​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!