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Gelneren [198K]
4 years ago
7

Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.​

Mathematics
1 answer:
storchak [24]4 years ago
6 0

Answer:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

Step-by-step explanation:

Start by stating that the given angles are congruent.

Call the angle vertical to angle 1 "angle 3."

Then angle 3 and angle 1 are congruent by vertical angles.

Angle 3 and angle 2 are congruent by transitive congruence of angles.

That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.

Answer

You can prove the following theorem:

<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>

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Please help me asap!!!
Dmitry [639]

Answer:

So here is how we are going to get the measure of angle 2.

Since given that angle COE measures 55°, we will equate m∠2 = 2x and m∠3 = x+10 with 55. So, 55 = 2x + x + 10

55 = 3x + 10

55-10 = 3x

45 = 3x << divide both sides by 3 and the result is

15 = x

So now that we know x, we can now solve for angle 2.

m∠2 = 2x

m∠2 = 2(15)

m∠2 = 30°

I hope that this is the answer that you are looking for.

5 0
3 years ago
1. Fill in the blanks: For the line 3.x - y = 2, the x-intercept is<br> and the y-intercept is-
Allushta [10]

Answer:

x-intercept: (2/3, 0)

y-intercept: (0, -2)

Step-by-step explanation:

x-intercept: when y = 0

3x - y = 2

3x - 0 = 2

x = 2/3

y-intercept: when x = 0

3x - y = 2

0 - y = 2

y = -2

4 0
3 years ago
A) Work out the size of angle x. b) Give reason for your answer.
enot [183]

A

x=75°

B

We know that ∠EFG=∠ABF because they are corresponding angles.

We also know that ∠x+∠ABF=180, because angles along a straight line always equal 180:

x+105=180

x=75°

6 0
3 years ago
The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left t
cricket20 [7]

Answer:

  For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The point (0, 350) tells you Michelle's trip is 350 miles long. The point (7, 0) tells you she completed it in 7 hours. The point (6, 50) on the graph tells you she has 50 miles remaining of the original 350 after 6 hours.

True: for each hour Michelle drove, she traveled an additional 50 miles.

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3^8
Art [367]

Answer:

3x3x3x3x3x3x3x3

Step-by-step explanation:

Or three eight times :)

7 0
4 years ago
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